找出一个点是否位于圆内-yiteyi-C++库

给定一个圆（中心坐标和半径坐标）和一个点（坐标），找出该点是否位于圆内或圆上。

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例如：

Input: x = 4, y = 4 // Given Point       circle_x = 1, circle_y = 1, rad = 6; // CircleOutput: Inside Input: x = 3, y = 3 // Given Point       circle_x = 0, circle_y = 1, rad = 2; // CircleOutput: Outside

我们强烈建议您尽量减少浏览器，并先自己尝试。

其思想是计算点到中心的距离。如果距离小于或等于半径。重点在里面，其他的在外面。

下面是上述想法的实现。

C++

                         // C++ program to check if a point                       
                         // lies inside a circle or not                       
                         #include <bits/stdc++.h>                       
                         using                                     namespace                                     std;                       
           
                         bool                                     isInside(                                     int                                     circle_x,                                     int                                     circle_y,                       
                                                 int                                     rad,                                     int                                     x,                                     int                                     y)                       
                         {                       
                                                 // Compare radius of circle with distance                       
                                                 // of its center from given point                       
                                                 if                                     ((x - circle_x) * (x - circle_x) +                       
                                                 (y - circle_y) * (y - circle_y) <= rad * rad)                       
                                                 return                                     true                                     ;                       
                                                 else                       
                                                 return                                     false                                     ;                       
                         }                       
           
                         // Driver function                       
                         int                                     main()                       
                         {                       
                                                 int                                     x = 1, y = 1;                       
                                                 int                                     circle_x = 0, circle_y = 1, rad = 2;                       
                                                 isInside(circle_x, circle_y, rad, x, y) ?                       
                                                 cout <<                                     "Inside"                                     : cout <<                                     "Outside"                                     ;                       
                         }                       

JAVA

                         // Java program to check if a point lies                       
                         // inside a circle or not                       
           
                         class                                     GFG {                       
           
                                                 static                                     boolean                                     isInside(                                     int                                     circle_x,                                     int                                     circle_y,                       
                                                 int                                     rad,                                     int                                     x,                                     int                                     y)                       
                                                 {                       
                                                 // Compare radius of circle with                       
                                                 // distance of its center from                       
                                                 // given point                       
                                                 if                                     ((x - circle_x) * (x - circle_x) +                       
                                                 (y - circle_y) * (y - circle_y) <= rad * rad)                       
                                                 return                                     true                                     ;                       
                                                 else                       
                                                 return                                     false                                     ;                       
                                                 }                       
           
                                                 // Driver Program to test above function                       
                                                 public                                     static                                     void                                     main(String arg[])                       
                                                 {                       
                                                 int                                     x =                                     1                                     , y =                                     1                                     ;                       
                                                 int                                     circle_x =                                     0                                     , circle_y =                                     1                                     , rad =                                     2                                     ;                       
           
                                                 if                                     (isInside(circle_x, circle_y, rad, x, y))                       
                                                 System.out.print(                                     "Inside"                                     );                       
                                                 else                       
                                                 System.out.print(                                     "Outside"                                     );                       
                                                 }                       
                         }                       
           
                         // This code is contributed by Anant Agarwal.                       

Python3

                         # Python3 program to check if                       
                         # a point lies inside a circle                       
                         # or not                       
           
                         def                                     isInside(circle_x, circle_y, rad, x, y):                       
                                   
                                                 # Compare radius of circle                       
                                                 # with distance of its center                       
                                                 # from given point                       
                                                 if                                     ((x                                     -                                     circle_x)                                     *                                     (x                                     -                                     circle_x)                                     +                       
                                                 (y                                     -                                     circle_y)                                     *                                     (y                                     -                                     circle_y) <                                     =                                     rad                                     *                                     rad):                       
                                                 return                                     True                                     ;                       
                                                 else                                     :                       
                                                 return                                     False                                     ;                       
           
                         # Driver Code                       
                         x                                     =                                     1                                     ;                       
                         y                                     =                                     1                                     ;                       
                         circle_x                                     =                                     0                                     ;                       
                         circle_y                                     =                                     1                                     ;                       
                         rad                                     =                                     2                                     ;                       
                         if                                     (isInside(circle_x, circle_y, rad, x, y)):                       
                                                 print                                     (                                     "Inside"                                     );                       
                         else                                     :                       
                                                 print                                     (                                     "Outside"                                     );                       
           
                         # This code is contributed                       
                         # by mits.                       

C#

                         // C# program to check if a point lies                       
                         // inside a circle or not                       
                         using                                     System;                       
           
                         class                                     GFG {                       
           
                                                 static                                     bool                                     isInside(                                     int                                     circle_x,                                     int                                     circle_y,                       
                                                 int                                     rad,                                     int                                     x,                                     int                                     y)                       
                                                 {                       
                                                 // Compare radius of circle with                       
                                                 // distance of its center from                       
                                                 // given point                       
                                                 if                                     ((x - circle_x) * (x - circle_x) +                       
                                                 (y - circle_y) * (y - circle_y)    <= rad * rad)                       
                                                 return                                     true                                     ;                       
                                                 else                       
                                                 return                                     false                                     ;                       
                                                 }                       
           
                                                 // Driver Program to test above function                       
                                                 public                                     static                                     void                                     Main()                       
                                                 {                       
                                                 int                                     x = 1, y = 1;                       
                                                 int                                     circle_x = 0, circle_y = 1, rad = 2;                       
           
                                                 if                                     (isInside(circle_x, circle_y, rad, x, y))                       
                                                 Console.Write(                                     "Inside"                                     );                       
                                                 else                       
                                                 Console.Write(                                     "Outside"                                     );                       
                                                 }                       
                         }                       
           
                         // This code is contributed by nitin mittal.                       

PHP

                         <?php                       
                         // PHP program to check if a point                       
                         // lies inside a circle or not                       
           
                         function                                     isInside(                                     $circle_x                                     ,                                     $circle_y                                     ,                       
                                                 $rad                                     ,                                     $x                                     ,                                     $y                                     )                       
                         {                       
                                                 // Compare radius of circle                       
                                                 // with distance of its center                       
                                                 // from given point                       
                                                 if                                     ((                                     $x                                     -                                     $circle_x                                     ) * (                                     $x                                     -                                     $circle_x                                     ) +                       
                                                 (                                     $y                                     -                                     $circle_y                                     ) * (                                     $y                                     -                                     $circle_y                                     ) <=                       
                                                 $rad                                     *                                     $rad                                     )                       
                                                 return                                     true;                       
                                                 else                       
                                                 return                                     false;                       
                         }                       
           
                         // Driver Code                       
                         $x                                     = 1;                                     $y                                     = 1;                       
                         $circle_x                                     = 0;                                     $circle_y                                     = 1;                                     $rad                                     = 2;                       
                         if                                     (isInside(                                     $circle_x                                     ,                                     $circle_y                                     ,                       
                                                 $rad                                     ,                                     $x                                     ,                                     $y                                     ))                       
                         echo                                     "Inside"                                     ;                       
                         else                       
                         echo                                     "Outside"                                     ;                       
           
                         // This code is contributed                       
                         // by nitin mittal.                       
                         ?>                       

Javascript

                         <script>                       
           
                         // Javascript program to check if a point                       
                         // lies inside a circle or not                       
                         function                                     isInside(circle_x, circle_y, rad, x, y)                       
                         {                       
                                   
                                                 // Compare radius of circle with                       
                                                 // distance of its center from                       
                                                 // given point                       
                                   
                                                 if                                     ((x - circle_x) * (x - circle_x) +                       
                                                 (y - circle_y) * (y - circle_y) <= rad * rad)                       
                                                 return                                     true                                     ;                       
                                                 else                       
                                                 return                                     false                                     ;                       
                         }                       
           
                         // Driver code                       
                         var                                     x = 1;                       
                         var                                     y = 1;                       
                         var                                     circle_x = 0;                       
                         var                                     circle_y = 1;                       
                         var                                     rad = 2;                       
           
                         if                                     (isInside(circle_x, circle_y, rad, x, y))                       
                         {                       
                                                 document.write(                                     "Inside"                                     );                       
                         }                       
                         else                       
                         {                       
                                                 document.write(                                     "Outside"                                     );                       
                         }                       
           
                         // This code is contributed by bunnyram19                       
           
                         </script>                       

输出：

Inside

感谢Utkarsh Trivedi提出上述解决方案如果您发现任何不正确的地方，或者您想分享有关上述主题的更多信息，请写下评论。

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