diff --git a/backend/src/main/java/com/now/naaga/auth/application/AuthService.java b/backend/src/main/java/com/now/naaga/auth/application/AuthService.java
index 497e8b48c..d0f364f26 100644
--- a/backend/src/main/java/com/now/naaga/auth/application/AuthService.java
+++ b/backend/src/main/java/com/now/naaga/auth/application/AuthService.java
@@ -1,7 +1,5 @@
 package com.now.naaga.auth.application;
 
-import static com.now.naaga.auth.exception.AuthExceptionType.PASSWORD_MISMATCH;
-
 import com.now.naaga.auth.exception.AuthException;
 import com.now.naaga.member.application.MemberService;
 import com.now.naaga.member.application.dto.MemberCommand;
@@ -9,6 +7,8 @@
 import org.springframework.stereotype.Service;
 import org.springframework.transaction.annotation.Transactional;
 
+import static com.now.naaga.auth.exception.AuthExceptionType.PASSWORD_MISMATCH;
+
 @Transactional
 @Service
 public class AuthService {
diff --git a/backend/src/main/java/com/now/naaga/auth/exception/AuthExceptionType.java b/backend/src/main/java/com/now/naaga/auth/exception/AuthExceptionType.java
index 4b08c1187..855faedc3 100644
--- a/backend/src/main/java/com/now/naaga/auth/exception/AuthExceptionType.java
+++ b/backend/src/main/java/com/now/naaga/auth/exception/AuthExceptionType.java
@@ -9,13 +9,28 @@ public enum AuthExceptionType implements BaseExceptionType {
             100,
             HttpStatus.UNAUTHORIZED,
             "비밀번호가 일치하지 않습니다."
-    );
+    ),
+
+    NOT_EXIST_HEADER(
+            101,
+            HttpStatus.UNAUTHORIZED,
+            "헤더 정보가 존재하지 않습니다."
+    ),
+
+    INVALID_HEADER(
+            102,
+            HttpStatus.UNAUTHORIZED,
+            "헤더 정보가 유효하지 않습니다."
+    ),
+    ;
 
     private final int errorCode;
     private final HttpStatus httpStatus;
     private final String errorMessage;
 
-    AuthExceptionType(final int errorCode, final HttpStatus httpStatus, final String errorMessage) {
+    AuthExceptionType(final int errorCode,
+                      final HttpStatus httpStatus,
+                      final String errorMessage) {
         this.errorCode = errorCode;
         this.httpStatus = httpStatus;
         this.errorMessage = errorMessage;
diff --git a/backend/src/main/java/com/now/naaga/auth/infrastructure/AuthenticationExtractor.java b/backend/src/main/java/com/now/naaga/auth/infrastructure/AuthenticationExtractor.java
index 7c443b9ea..2ba8ca655 100644
--- a/backend/src/main/java/com/now/naaga/auth/infrastructure/AuthenticationExtractor.java
+++ b/backend/src/main/java/com/now/naaga/auth/infrastructure/AuthenticationExtractor.java
@@ -2,7 +2,5 @@
 
 public interface AuthenticationExtractor<T> {
 
-    String AUTHORIZATION = "Authorization";
-
-    T extract(String request);
+    T extract(final String request);
 }
diff --git a/backend/src/main/java/com/now/naaga/auth/infrastructure/BasicAuthenticationDecoder.java b/backend/src/main/java/com/now/naaga/auth/infrastructure/BasicAuthenticationDecoder.java
index 815a81103..cf2177972 100644
--- a/backend/src/main/java/com/now/naaga/auth/infrastructure/BasicAuthenticationDecoder.java
+++ b/backend/src/main/java/com/now/naaga/auth/infrastructure/BasicAuthenticationDecoder.java
@@ -9,10 +9,10 @@ public class BasicAuthenticationDecoder {
     private static final String BASIC_TYPE = "Basic";
     private static final String DELIMITER = ":";
 
-    public String[] decode(String header) {
-        String authHeaderValue = header.substring(BASIC_TYPE.length()).trim();
-        byte[] decodedBytes = Base64.decodeBase64(authHeaderValue);
-        String decodedString = new String(decodedBytes);
+    public String[] decode(final String header) {
+        final String authHeaderValue = header.substring(BASIC_TYPE.length()).trim();
+        final byte[] decodedBytes = Base64.decodeBase64(authHeaderValue);
+        final String decodedString = new String(decodedBytes);
 
         return decodedString.split(DELIMITER);
     }
diff --git a/backend/src/main/java/com/now/naaga/auth/infrastructure/BasicAuthenticationExtractor.java b/backend/src/main/java/com/now/naaga/auth/infrastructure/BasicAuthenticationExtractor.java
index 41c283e59..07c607e19 100644
--- a/backend/src/main/java/com/now/naaga/auth/infrastructure/BasicAuthenticationExtractor.java
+++ b/backend/src/main/java/com/now/naaga/auth/infrastructure/BasicAuthenticationExtractor.java
@@ -1,8 +1,12 @@
 package com.now.naaga.auth.infrastructure;
 
+import com.now.naaga.auth.exception.AuthException;
 import com.now.naaga.member.application.dto.MemberCommand;
 import org.springframework.stereotype.Component;
 
+import static com.now.naaga.auth.exception.AuthExceptionType.INVALID_HEADER;
+import static com.now.naaga.auth.exception.AuthExceptionType.NOT_EXIST_HEADER;
+
 @Component
 public class BasicAuthenticationExtractor implements AuthenticationExtractor<MemberCommand> {
 
@@ -16,16 +20,16 @@ public BasicAuthenticationExtractor(final BasicAuthenticationDecoder basicAuthen
         this.basicAuthenticationDecoder = basicAuthenticationDecoder;
     }
 
-    public MemberCommand extract(String header) {
+    public MemberCommand extract(final String header) {
         if (header == null) {
-            throw new RuntimeException("헤더가 존재하지 않습니다.");
+            throw new AuthException(NOT_EXIST_HEADER);
         }
         if (!header.toLowerCase().startsWith(BASIC_TYPE.toLowerCase())) {
-            throw new RuntimeException("헤더 정보가 잘못됐습니다.");
+            throw new AuthException(INVALID_HEADER);
         }
-        String[] credentials = basicAuthenticationDecoder.decode(header);
-        String email = credentials[EMAIL_INDEX];
-        String password = credentials[PASSWORD_INDEX];
+        final String[] credentials = basicAuthenticationDecoder.decode(header);
+        final String email = credentials[EMAIL_INDEX];
+        final String password = credentials[PASSWORD_INDEX];
         return new MemberCommand(email, password);
     }
 }
diff --git a/backend/src/main/java/com/now/naaga/auth/presentation/AuthInterceptor.java b/backend/src/main/java/com/now/naaga/auth/presentation/AuthInterceptor.java
index fa737f48c..7f649e449 100644
--- a/backend/src/main/java/com/now/naaga/auth/presentation/AuthInterceptor.java
+++ b/backend/src/main/java/com/now/naaga/auth/presentation/AuthInterceptor.java
@@ -17,13 +17,16 @@ public class AuthInterceptor implements HandlerInterceptor {
     private final AuthenticationExtractor<MemberCommand> authenticationExtractor;
     private final AuthService authService;
 
-    public AuthInterceptor(final AuthenticationExtractor<MemberCommand> authenticationExtractor, final AuthService authService) {
+    public AuthInterceptor(final AuthenticationExtractor<MemberCommand> authenticationExtractor,
+                           final AuthService authService) {
         this.authenticationExtractor = authenticationExtractor;
         this.authService = authService;
     }
 
     @Override
-    public boolean preHandle(final HttpServletRequest request, final HttpServletResponse response, final Object handler) throws Exception {
+    public boolean preHandle(final HttpServletRequest request,
+                             final HttpServletResponse response,
+                             final Object handler) throws Exception {
         final MemberCommand memberCommand = authenticationExtractor.extract(request.getHeader(HttpHeaders.AUTHORIZATION));
         authService.validateAuthentication(memberCommand);
         request.setAttribute(AUTH_KEY, memberCommand);
diff --git a/backend/src/main/java/com/now/naaga/auth/presentation/AuthenticationArgumentResolver.java b/backend/src/main/java/com/now/naaga/auth/presentation/AuthenticationArgumentResolver.java
index 5a8e25419..c539679b9 100644
--- a/backend/src/main/java/com/now/naaga/auth/presentation/AuthenticationArgumentResolver.java
+++ b/backend/src/main/java/com/now/naaga/auth/presentation/AuthenticationArgumentResolver.java
@@ -1,7 +1,5 @@
 package com.now.naaga.auth.presentation;
 
-import static com.now.naaga.auth.presentation.AuthInterceptor.AUTH_KEY;
-
 import com.now.naaga.auth.annotation.Auth;
 import com.now.naaga.member.application.dto.MemberCommand;
 import jakarta.servlet.http.HttpServletRequest;
@@ -12,6 +10,8 @@
 import org.springframework.web.method.support.HandlerMethodArgumentResolver;
 import org.springframework.web.method.support.ModelAndViewContainer;
 
+import static com.now.naaga.auth.presentation.AuthInterceptor.AUTH_KEY;
+
 @Component
 public class AuthenticationArgumentResolver implements HandlerMethodArgumentResolver {
 
diff --git a/backend/src/main/java/com/now/naaga/common/config/WebConfig.java b/backend/src/main/java/com/now/naaga/common/config/WebConfig.java
index b131ffe6f..cd2667218 100644
--- a/backend/src/main/java/com/now/naaga/common/config/WebConfig.java
+++ b/backend/src/main/java/com/now/naaga/common/config/WebConfig.java
@@ -2,19 +2,21 @@
 
 import com.now.naaga.auth.presentation.AuthInterceptor;
 import com.now.naaga.auth.presentation.AuthenticationArgumentResolver;
-import java.util.List;
 import org.springframework.context.annotation.Configuration;
 import org.springframework.web.method.support.HandlerMethodArgumentResolver;
 import org.springframework.web.servlet.config.annotation.InterceptorRegistry;
 import org.springframework.web.servlet.config.annotation.WebMvcConfigurer;
 
+import java.util.List;
+
 @Configuration
 public class WebConfig implements WebMvcConfigurer {
 
     private final AuthenticationArgumentResolver authenticationArgumentResolver;
     private final AuthInterceptor authInterceptor;
 
-    public WebConfig(final AuthenticationArgumentResolver authenticationArgumentResolver, final AuthInterceptor authInterceptor) {
+    public WebConfig(final AuthenticationArgumentResolver authenticationArgumentResolver,
+                     final AuthInterceptor authInterceptor) {
         this.authenticationArgumentResolver = authenticationArgumentResolver;
         this.authInterceptor = authInterceptor;
     }
@@ -25,7 +27,7 @@ public void addInterceptors(final InterceptorRegistry registry) {
     }
 
     @Override
-    public void addArgumentResolvers(List<HandlerMethodArgumentResolver> resolvers) {
+    public void addArgumentResolvers(final List<HandlerMethodArgumentResolver> resolvers) {
         resolvers.add(authenticationArgumentResolver);
     }
 }
diff --git a/backend/src/main/java/com/now/naaga/game/application/GameService.java b/backend/src/main/java/com/now/naaga/game/application/GameService.java
index d8ca73616..6abc88c8a 100644
--- a/backend/src/main/java/com/now/naaga/game/application/GameService.java
+++ b/backend/src/main/java/com/now/naaga/game/application/GameService.java
@@ -1,9 +1,5 @@
 package com.now.naaga.game.application;
 
-import static com.now.naaga.game.exception.GameExceptionType.ALREADY_IN_PROGRESS;
-import static com.now.naaga.game.exception.GameExceptionType.INACCESSIBLE_AUTHENTICATION;
-import static com.now.naaga.game.exception.GameExceptionType.NOT_EXIST;
-
 import com.now.naaga.game.domain.Game;
 import com.now.naaga.game.domain.GameStatus;
 import com.now.naaga.game.exception.GameException;
@@ -14,10 +10,13 @@
 import com.now.naaga.place.application.PlaceService;
 import com.now.naaga.place.domain.Place;
 import com.now.naaga.place.domain.Position;
-import java.util.List;
 import org.springframework.stereotype.Service;
 import org.springframework.transaction.annotation.Transactional;
 
+import java.util.List;
+
+import static com.now.naaga.game.exception.GameExceptionType.*;
+
 @Transactional
 @Service
 public class GameService {
@@ -26,13 +25,16 @@ public class GameService {
     private final PlaceService placeService;
     private final MemberService memberService;
 
-    public GameService(final GameRepository gameRepository, final PlaceService placeService, final MemberService memberService) {
+    public GameService(final GameRepository gameRepository,
+                       final PlaceService placeService,
+                       final MemberService memberService) {
         this.gameRepository = gameRepository;
         this.placeService = placeService;
         this.memberService = memberService;
     }
 
-    public Game createGame(final MemberCommand memberCommand, final Position position) {
+    public Game createGame(final MemberCommand memberCommand,
+                           final Position position) {
         final List<Game> gamesByStatus = findGamesByStatus(memberCommand, GameStatus.IN_PROGRESS.name());
         if (!gamesByStatus.isEmpty()) {
             throw new GameException(ALREADY_IN_PROGRESS);
@@ -43,8 +45,21 @@ public Game createGame(final MemberCommand memberCommand, final Position positio
         return gameRepository.save(game);
     }
 
+    public Game finishGame(final MemberCommand memberCommand,
+                           final Position requestPosition,
+                           final Long gameId) {
+        final Game game = gameRepository.findById(gameId)
+                .orElseThrow(() -> new GameException(NOT_EXIST));
+        Member member = memberService.findMemberByEmail(memberCommand.getEmail());
+        game.validateOwner(member);
+        game.validateInRange(requestPosition);
+        game.changeGameStatus(GameStatus.DONE);
+        return game;
+    }
+
     @Transactional(readOnly = true)
-    public Game findGame(final MemberCommand memberCommand, final Long id) {
+    public Game findGame(final MemberCommand memberCommand,
+                         final Long id) {
         final Member member = memberService.findMemberByEmail(memberCommand.getEmail());
         final Game game = gameRepository.findById(id)
                 .orElseThrow(() -> new GameException(NOT_EXIST));
@@ -55,7 +70,8 @@ public Game findGame(final MemberCommand memberCommand, final Long id) {
     }
 
     @Transactional(readOnly = true)
-    public List<Game> findGamesByStatus(final MemberCommand memberCommand, final String gameStatus) {
+    public List<Game> findGamesByStatus(final MemberCommand memberCommand,
+                                        final String gameStatus) {
         final Member member = memberService.findMemberByEmail(memberCommand.getEmail());
         final Long memberId = member.getId();
 
diff --git a/backend/src/main/java/com/now/naaga/game/domain/Game.java b/backend/src/main/java/com/now/naaga/game/domain/Game.java
index 91fd42c7d..29ec6c6d3 100644
--- a/backend/src/main/java/com/now/naaga/game/domain/Game.java
+++ b/backend/src/main/java/com/now/naaga/game/domain/Game.java
@@ -1,20 +1,21 @@
 package com.now.naaga.game.domain;
 
+import com.now.naaga.game.exception.GameException;
 import com.now.naaga.member.domain.Member;
 import com.now.naaga.place.domain.Place;
-import jakarta.persistence.Entity;
-import jakarta.persistence.EnumType;
-import jakarta.persistence.Enumerated;
-import jakarta.persistence.GeneratedValue;
-import jakarta.persistence.GenerationType;
-import jakarta.persistence.Id;
-import jakarta.persistence.JoinColumn;
-import jakarta.persistence.ManyToOne;
+import com.now.naaga.place.domain.Position;
+import jakarta.persistence.*;
+
 import java.util.Objects;
 
+import static com.now.naaga.game.exception.GameExceptionType.INACCESSIBLE_AUTHENTICATION;
+import static com.now.naaga.game.exception.GameExceptionType.NOT_ARRIVED;
+
 @Entity
 public class Game {
 
+    public static final double MIN_RANGE = 0.05;
+
     @GeneratedValue(strategy = GenerationType.IDENTITY)
     @Id
     private Long id;
@@ -33,17 +34,37 @@ public class Game {
     protected Game() {
     }
 
-    public Game(final Member member, final Place place) {
+    public Game(final Member member,
+                final Place place) {
         this(null, GameStatus.IN_PROGRESS, member, place);
     }
 
-    public Game(final Long id, final GameStatus gameStatus, final Member member, final Place place) {
+    public Game(final Long id,
+                final GameStatus gameStatus,
+                final Member member,
+                final Place place) {
         this.id = id;
         this.gameStatus = gameStatus;
         this.member = member;
         this.place = place;
     }
 
+    public void validateOwner(final Member member) {
+        if (!member.equals(this.member)) {
+            throw new GameException(INACCESSIBLE_AUTHENTICATION);
+        }
+    }
+
+    public void validateInRange(final Position position) {
+        if (!place.isInValidRange(position)) {
+            throw new GameException(NOT_ARRIVED);
+        }
+    }
+
+    public void changeGameStatus(final GameStatus gameStatus) {
+        this.gameStatus = gameStatus;
+    }
+
     public Long getId() {
         return id;
     }
diff --git a/backend/src/main/java/com/now/naaga/game/domain/GameStatus.java b/backend/src/main/java/com/now/naaga/game/domain/GameStatus.java
index 07e9474a6..aa2cb942e 100644
--- a/backend/src/main/java/com/now/naaga/game/domain/GameStatus.java
+++ b/backend/src/main/java/com/now/naaga/game/domain/GameStatus.java
@@ -4,4 +4,5 @@ public enum GameStatus {
 
     IN_PROGRESS,
     DONE,
+    ;
 }
diff --git a/backend/src/main/java/com/now/naaga/game/exception/GameExceptionType.java b/backend/src/main/java/com/now/naaga/game/exception/GameExceptionType.java
index 1da9e3f8f..ecc0e4a56 100644
--- a/backend/src/main/java/com/now/naaga/game/exception/GameExceptionType.java
+++ b/backend/src/main/java/com/now/naaga/game/exception/GameExceptionType.java
@@ -34,7 +34,9 @@ public enum GameExceptionType implements BaseExceptionType {
     private final HttpStatus httpStatus;
     private final String errorMessage;
 
-    GameExceptionType(final int errorCode, final HttpStatus httpStatus, final String errorMessage) {
+    GameExceptionType(final int errorCode,
+                      final HttpStatus httpStatus,
+                      final String errorMessage) {
         this.errorCode = errorCode;
         this.httpStatus = httpStatus;
         this.errorMessage = errorMessage;
diff --git a/backend/src/main/java/com/now/naaga/game/presentation/GameController.java b/backend/src/main/java/com/now/naaga/game/presentation/GameController.java
index f1bf6be63..d86e7b270 100644
--- a/backend/src/main/java/com/now/naaga/game/presentation/GameController.java
+++ b/backend/src/main/java/com/now/naaga/game/presentation/GameController.java
@@ -4,19 +4,15 @@
 import com.now.naaga.game.application.GameService;
 import com.now.naaga.game.domain.Game;
 import com.now.naaga.game.presentation.dto.GameResponse;
+import com.now.naaga.game.presentation.dto.GameStatusResponse;
 import com.now.naaga.member.application.dto.MemberCommand;
 import com.now.naaga.place.domain.Position;
+import org.springframework.http.ResponseEntity;
+import org.springframework.web.bind.annotation.*;
+
 import java.net.URI;
 import java.util.List;
 import java.util.stream.Collectors;
-import org.springframework.http.ResponseEntity;
-import org.springframework.web.bind.annotation.GetMapping;
-import org.springframework.web.bind.annotation.PathVariable;
-import org.springframework.web.bind.annotation.PostMapping;
-import org.springframework.web.bind.annotation.RequestBody;
-import org.springframework.web.bind.annotation.RequestMapping;
-import org.springframework.web.bind.annotation.RequestParam;
-import org.springframework.web.bind.annotation.RestController;
 
 @RequestMapping("/games")
 @RestController
@@ -29,23 +25,34 @@ public GameController(final GameService gameService) {
     }
 
     @PostMapping
-    public ResponseEntity<Void> createGame(@Auth final MemberCommand memberCommand, @RequestBody final Position position) {
+    public ResponseEntity<Void> createGame(@Auth final MemberCommand memberCommand,
+                                           @RequestBody final Position position) {
         final Game game = gameService.createGame(memberCommand, position);
         return ResponseEntity.created(URI.create("/games/" + game.getId())).build();
     }
 
+    @PatchMapping("/{gameId}")
+    public ResponseEntity<GameStatusResponse> changeGameStatus(@Auth final MemberCommand memberCommand,
+                                                               @RequestBody final Position position,
+                                                               @PathVariable final Long gameId) {
+        final Game game = gameService.finishGame(memberCommand, position, gameId);
+        return ResponseEntity.ok(GameStatusResponse.from(game));
+    }
+
     @GetMapping("/{gameId}")
-    public ResponseEntity<GameResponse> findGame(@Auth final MemberCommand memberCommand, @PathVariable final Long gameId) {
+    public ResponseEntity<GameResponse> findGame(@Auth final MemberCommand memberCommand,
+                                                 @PathVariable final Long gameId) {
         final Game game = gameService.findGame(memberCommand, gameId);
         return ResponseEntity.ok(GameResponse.from(game));
     }
 
     @GetMapping
-    public ResponseEntity<List<GameResponse>> findGamesByGameStatus(@Auth final MemberCommand memberCommand, @RequestParam final String gameStatus) {
-        final List<Game> games = gameService.findGamesByStatus(memberCommand, gameStatus);
+    public ResponseEntity<List<GameResponse>> findGamesByGameStatus(@Auth final MemberCommand memberCommand,
+                                                                    @RequestParam final String status) {
+        final List<Game> games = gameService.findGamesByStatus(memberCommand, status);
         final List<GameResponse> gameResponses = games.stream()
                 .map(GameResponse::from)
                 .collect(Collectors.toList());
         return ResponseEntity.ok(gameResponses);
     }
-}
\ No newline at end of file
+}
diff --git a/backend/src/main/java/com/now/naaga/game/presentation/dto/GameResponse.java b/backend/src/main/java/com/now/naaga/game/presentation/dto/GameResponse.java
index 9c33ca3d4..5bcd44510 100644
--- a/backend/src/main/java/com/now/naaga/game/presentation/dto/GameResponse.java
+++ b/backend/src/main/java/com/now/naaga/game/presentation/dto/GameResponse.java
@@ -9,7 +9,9 @@ public class GameResponse {
     private final PlaceResponse place;
     private final String gameStatus;
 
-    private GameResponse(final Long id, final PlaceResponse place, final String gameStatus) {
+    private GameResponse(final Long id,
+                         final PlaceResponse place,
+                         final String gameStatus) {
         this.id = id;
         this.place = place;
         this.gameStatus = gameStatus;
diff --git a/backend/src/main/java/com/now/naaga/game/presentation/dto/GameStatusResponse.java b/backend/src/main/java/com/now/naaga/game/presentation/dto/GameStatusResponse.java
index d3c1cdec9..6537d419a 100644
--- a/backend/src/main/java/com/now/naaga/game/presentation/dto/GameStatusResponse.java
+++ b/backend/src/main/java/com/now/naaga/game/presentation/dto/GameStatusResponse.java
@@ -7,7 +7,8 @@ public class GameStatusResponse {
     private final Long id;
     private final String gameStatus;
 
-    private GameStatusResponse(final Long id, final String gameStatus) {
+    private GameStatusResponse(final Long id,
+                               final String gameStatus) {
         this.id = id;
         this.gameStatus = gameStatus;
     }
diff --git a/backend/src/main/java/com/now/naaga/game/repository/GameRepository.java b/backend/src/main/java/com/now/naaga/game/repository/GameRepository.java
index 162e98697..0d5265c70 100644
--- a/backend/src/main/java/com/now/naaga/game/repository/GameRepository.java
+++ b/backend/src/main/java/com/now/naaga/game/repository/GameRepository.java
@@ -2,10 +2,12 @@
 
 import com.now.naaga.game.domain.Game;
 import com.now.naaga.game.domain.GameStatus;
-import java.util.List;
 import org.springframework.data.jpa.repository.JpaRepository;
 
+import java.util.List;
+
 public interface GameRepository extends JpaRepository<Game, Long> {
 
-    List<Game> findByMemberIdAndGameStatus(Long memberId, GameStatus gameStatus);
+    List<Game> findByMemberIdAndGameStatus(final Long memberId,
+                                           final GameStatus gameStatus);
 }
diff --git a/backend/src/main/java/com/now/naaga/member/application/MemberService.java b/backend/src/main/java/com/now/naaga/member/application/MemberService.java
index 537e87cfd..dc490f3ab 100644
--- a/backend/src/main/java/com/now/naaga/member/application/MemberService.java
+++ b/backend/src/main/java/com/now/naaga/member/application/MemberService.java
@@ -1,13 +1,13 @@
 package com.now.naaga.member.application;
 
-import static com.now.naaga.member.exception.MemberExceptionType.NOT_EXIST_MEMBER;
-
 import com.now.naaga.member.domain.Member;
 import com.now.naaga.member.exception.MemberException;
 import com.now.naaga.member.persistence.repository.MemberRepository;
 import org.springframework.stereotype.Service;
 import org.springframework.transaction.annotation.Transactional;
 
+import static com.now.naaga.member.exception.MemberExceptionType.NOT_EXIST_MEMBER;
+
 @Transactional
 @Service
 public class MemberService {
diff --git a/backend/src/main/java/com/now/naaga/member/application/dto/MemberCommand.java b/backend/src/main/java/com/now/naaga/member/application/dto/MemberCommand.java
index 3204954bf..78776fe7b 100644
--- a/backend/src/main/java/com/now/naaga/member/application/dto/MemberCommand.java
+++ b/backend/src/main/java/com/now/naaga/member/application/dto/MemberCommand.java
@@ -9,7 +9,8 @@ public class MemberCommand {
     private MemberCommand() {
     }
 
-    public MemberCommand(final String email, final String password) {
+    public MemberCommand(final String email,
+                         final String password) {
         this.email = email;
         this.password = password;
     }
diff --git a/backend/src/main/java/com/now/naaga/member/domain/Member.java b/backend/src/main/java/com/now/naaga/member/domain/Member.java
index 435b0c445..495928964 100644
--- a/backend/src/main/java/com/now/naaga/member/domain/Member.java
+++ b/backend/src/main/java/com/now/naaga/member/domain/Member.java
@@ -4,6 +4,7 @@
 import jakarta.persistence.GeneratedValue;
 import jakarta.persistence.GenerationType;
 import jakarta.persistence.Id;
+
 import java.util.Objects;
 
 @Entity
diff --git a/backend/src/main/java/com/now/naaga/member/exception/MemberExceptionType.java b/backend/src/main/java/com/now/naaga/member/exception/MemberExceptionType.java
index 540b4ea3c..5b9542ff7 100644
--- a/backend/src/main/java/com/now/naaga/member/exception/MemberExceptionType.java
+++ b/backend/src/main/java/com/now/naaga/member/exception/MemberExceptionType.java
@@ -16,7 +16,9 @@ public enum MemberExceptionType implements BaseExceptionType {
     private final HttpStatus httpStatus;
     private final String errorMessage;
 
-    MemberExceptionType(final int errorCode, final HttpStatus httpStatus, final String errorMessage) {
+    MemberExceptionType(final int errorCode,
+                        final HttpStatus httpStatus,
+                        final String errorMessage) {
         this.errorCode = errorCode;
         this.httpStatus = httpStatus;
         this.errorMessage = errorMessage;
diff --git a/backend/src/main/java/com/now/naaga/member/persistence/repository/MemberRepository.java b/backend/src/main/java/com/now/naaga/member/persistence/repository/MemberRepository.java
index 401207e44..d84d6f260 100644
--- a/backend/src/main/java/com/now/naaga/member/persistence/repository/MemberRepository.java
+++ b/backend/src/main/java/com/now/naaga/member/persistence/repository/MemberRepository.java
@@ -1,10 +1,11 @@
 package com.now.naaga.member.persistence.repository;
 
 import com.now.naaga.member.domain.Member;
-import java.util.Optional;
 import org.springframework.data.jpa.repository.JpaRepository;
 
+import java.util.Optional;
+
 public interface MemberRepository extends JpaRepository<Member, Long> {
 
-    Optional<Member> findByEmail(String email);
+    Optional<Member> findByEmail(final String email);
 }
diff --git a/backend/src/main/java/com/now/naaga/place/application/PlaceService.java b/backend/src/main/java/com/now/naaga/place/application/PlaceService.java
index c9647e390..1f9c2d57d 100644
--- a/backend/src/main/java/com/now/naaga/place/application/PlaceService.java
+++ b/backend/src/main/java/com/now/naaga/place/application/PlaceService.java
@@ -1,16 +1,17 @@
 package com.now.naaga.place.application;
 
-import static com.now.naaga.place.exception.PlaceExceptionType.PLACE_NOT_FOUND;
-
 import com.now.naaga.place.domain.Place;
 import com.now.naaga.place.domain.Position;
 import com.now.naaga.place.exception.PlaceException;
 import com.now.naaga.place.persistence.repository.PlaceRepository;
-import java.util.List;
-import java.util.Random;
 import org.springframework.stereotype.Service;
 import org.springframework.transaction.annotation.Transactional;
 
+import java.util.List;
+import java.util.Random;
+
+import static com.now.naaga.place.exception.PlaceExceptionType.PLACE_NOT_FOUND;
+
 @Transactional
 @Service
 public class PlaceService {
diff --git a/backend/src/main/java/com/now/naaga/place/domain/Place.java b/backend/src/main/java/com/now/naaga/place/domain/Place.java
index dd99be377..940a4b931 100644
--- a/backend/src/main/java/com/now/naaga/place/domain/Place.java
+++ b/backend/src/main/java/com/now/naaga/place/domain/Place.java
@@ -1,12 +1,11 @@
 package com.now.naaga.place.domain;
 
-import jakarta.persistence.Embedded;
-import jakarta.persistence.Entity;
-import jakarta.persistence.GeneratedValue;
-import jakarta.persistence.GenerationType;
-import jakarta.persistence.Id;
+import jakarta.persistence.*;
+
 import java.util.Objects;
 
+import static com.now.naaga.game.domain.Game.MIN_RANGE;
+
 @Entity
 public class Place {
 
@@ -22,6 +21,10 @@ public class Place {
     protected Place() {
     }
 
+    public boolean isInValidRange(final Position other) {
+        return position.calculateDistance(other) <= MIN_RANGE;
+    }
+
     public Long getId() {
         return id;
     }
diff --git a/backend/src/main/java/com/now/naaga/place/domain/Position.java b/backend/src/main/java/com/now/naaga/place/domain/Position.java
index 1476cd5e7..e3b7061a7 100644
--- a/backend/src/main/java/com/now/naaga/place/domain/Position.java
+++ b/backend/src/main/java/com/now/naaga/place/domain/Position.java
@@ -2,6 +2,7 @@
 
 import jakarta.persistence.Column;
 import jakarta.persistence.Embeddable;
+
 import java.math.BigDecimal;
 import java.util.Objects;
 
@@ -17,11 +18,18 @@ public class Position {
     protected Position() {
     }
 
-    public Position(final BigDecimal latitude, final BigDecimal longitude) {
+    public Position(final BigDecimal latitude,
+                    final BigDecimal longitude) {
         this.latitude = latitude;
         this.longitude = longitude;
     }
 
+    public double calculateDistance(final Position other) {
+        return Math.acos(Math.sin(Math.toRadians(other.latitude.doubleValue())) * Math.sin(Math.toRadians(this.latitude.doubleValue()))
+                + (Math.cos(Math.toRadians(other.latitude.doubleValue())) * Math.cos(Math.toRadians(this.latitude.doubleValue())) * Math.cos(Math.toRadians(other.longitude.doubleValue() - this.longitude.doubleValue())))
+        ) * 6371.0;
+    }
+
     public BigDecimal getLatitude() {
         return latitude;
     }
diff --git a/backend/src/main/java/com/now/naaga/place/exception/PlaceExceptionType.java b/backend/src/main/java/com/now/naaga/place/exception/PlaceExceptionType.java
index 760cc65da..bbb3219f0 100644
--- a/backend/src/main/java/com/now/naaga/place/exception/PlaceExceptionType.java
+++ b/backend/src/main/java/com/now/naaga/place/exception/PlaceExceptionType.java
@@ -16,7 +16,9 @@ public enum PlaceExceptionType implements BaseExceptionType {
     private final HttpStatus httpStatus;
     private final String errorMessage;
 
-    PlaceExceptionType(final int errorCode, final HttpStatus httpStatus, final String errorMessage) {
+    PlaceExceptionType(final int errorCode,
+                       final HttpStatus httpStatus,
+                       final String errorMessage) {
         this.errorCode = errorCode;
         this.httpStatus = httpStatus;
         this.errorMessage = errorMessage;
diff --git a/backend/src/main/java/com/now/naaga/place/persistence/repository/PlaceRepository.java b/backend/src/main/java/com/now/naaga/place/persistence/repository/PlaceRepository.java
index 983cf6764..244604f20 100644
--- a/backend/src/main/java/com/now/naaga/place/persistence/repository/PlaceRepository.java
+++ b/backend/src/main/java/com/now/naaga/place/persistence/repository/PlaceRepository.java
@@ -2,11 +2,12 @@
 
 import com.now.naaga.place.domain.Place;
 import com.now.naaga.place.domain.Position;
-import java.util.List;
 import org.springframework.data.jpa.repository.JpaRepository;
 import org.springframework.data.jpa.repository.Query;
 import org.springframework.data.repository.query.Param;
 
+import java.util.List;
+
 public interface PlaceRepository extends JpaRepository<Place, Long> {
 
     @Query(value = "SELECT place FROM Place place " +
@@ -14,6 +15,6 @@ public interface PlaceRepository extends JpaRepository<Place, Long> {
             "SIN(RADIANS(:#{#user_position.latitude})) * SIN(RADIANS(place.position.latitude)) " +
             "+ (COS(RADIANS(:#{#user_position.latitude})) * COS(RADIANS(place.position.latitude)) * COS(RADIANS(:#{#user_position.longitude} - place.position.longitude)))" +
             ") * 6371.0 <= :distance")
-    List<Place> findPlaceByPositionAndDistance(@Param(value = "user_position") Position position,
-                                               @Param(value = "distance") double distance);
+    List<Place> findPlaceByPositionAndDistance(@Param(value = "user_position") final Position position,
+                                               @Param(value = "distance") final double distance);
 }
diff --git a/backend/src/main/java/com/now/naaga/place/presentation/dto/PlaceResponse.java b/backend/src/main/java/com/now/naaga/place/presentation/dto/PlaceResponse.java
index 2ab3c0b2c..d18ff604b 100644
--- a/backend/src/main/java/com/now/naaga/place/presentation/dto/PlaceResponse.java
+++ b/backend/src/main/java/com/now/naaga/place/presentation/dto/PlaceResponse.java
@@ -9,7 +9,9 @@ public class PlaceResponse {
     private final Position position;
     private final String imageUrl;
 
-    private PlaceResponse(final Long id, final Position position, final String imageUrl) {
+    private PlaceResponse(final Long id,
+                          final Position position,
+                          final String imageUrl) {
         this.id = id;
         this.position = position;
         this.imageUrl = imageUrl;