等边三角形外接圆面积计算程序-yiteyi-C++库

给定等边三角形边的长度。我们需要编写一个程序来求给定等边三角形的外接圆面积。例如：

null

Input : side = 6Output : Area of circumscribed circle is: 37.69Input : side = 9Output : Area of circumscribed circle is: 84.82

推荐：请尝试你的方法 {IDE} 首先，在进入解决方案之前。

等边三角形的三条边长度相等，三个内角均为60度。 外圆的性质如下：

外接圆的中心是等边三角形的中点相交的点。
等边三角形的外接圆是通过等边三角形的三个顶点形成的。
等边三角形外接圆的半径等于（a/√3），其中“a”是等边三角形边的长度。

下图显示了一个带外接圆的等边三角形：

图片[1]-等边三角形外接圆面积计算程序-yiteyi-C++库

用于计算外切圆面积的公式为：

(π*a^2)/3

哪里 A. 是给定等边三角形边的长度。

这个公式是如何工作的？

我们知道圆的面积 =π*r ^2. ，其中r是给定圆的半径。我们也知道等边三角形的外接圆半径=（等边三角形的边）/√3. 因此，面积=π*r ^2. =π*a ^2. /3.

C++

                         // C++ program to find the area of Circumscribed                       
                         // circle of equilateral triangle                       
                         #include <iostream>                       
                         #include <math.h>                       
                         const                                     double                                     pi = 3.14159265358979323846;                       
           
                         using                                     namespace                                     std;                       
           
                         // function to calculate the area of circumcircle                       
                         // of equilateral triangle                       
                         float                                     area_circumscribed(                                     float                                     a)                       
                         {                       
                                                 return                                     (a * a * (pi / 3));                       
                         }                       
                         // Driver code                       
                         int                                     main()                       
                         {                       
                                                 float                                     a, Area;                       
                                                 a = 6;                       
           
                                                 // function calling                       
                                                 Area = area_circumscribed(a);                       
                                                 // displaying the area                       
                                                 cout <<                                     "Area of CircumCircle :"                                     << Area;                       
                                                 return                                     0;                       
                         }                       

C

                         // C program to find the area of Circumscribed                       
                         // circle of equilateral triangle                       
                         #include <stdio.h>                       
                         #define PI 3.14159265                       
           
                         // function to find area of                       
                         // circumscribed circle                       
                         float                                     area_circumscribed(                                     float                                     a)                       
                         {                       
                                                 return                                     (a * a * (PI / 3));                       
                         }                       
           
                         // Driver code                       
                         int                                     main()                       
                         {                       
                                                 float                                     a = 6;                       
                                                 printf                                     (                                     "Area of circumscribed circle is :%f"                                     ,                       
                                                 area_circumscribed(a));                       
                                                 return                                     0;                       
                         }                       

JAVA

                         // Java code to find the area of circumscribed                       
                         // circle of equilateral triangle                       
                         import                                     java.lang.*;                       
           
                         class                                     GFG {                       
                                   
                                                 static                                     double                                     PI =                                     3.14159265                                     ;                       
                                   
                                                 // function to find the area of                       
                                                 // circumscribed circle                       
                                                 public                                     static                                     double                                     area_cicumscribed(                                     double                                     a)                       
                                                 {                       
                                                 return                                     (a * a * (PI /                                     3                                     ));                       
                                                 }                       
                                   
                                                 // Driver code                       
                                                 public                                     static                                     void                                     main(String[] args)                       
                                                 {                       
                                                 double                                     a =                                     6.0                                     ;                       
                                                 System.out.println(                                     "Area of circumscribed circle is :"                       
                                                 + area_cicumscribed(a));                       
                                                 }                       
                         }                       

Python3

                         # Python3 code to find the area of circumscribed                       
                         # circle of equilateral triangle                       
                         PI                                     =                                     3.14159265                       
                                   
                         # Function to find the area of                       
                         # circumscribed circle                       
                         def                                     area_cicumscribed(a):                       
                                                 return                                     (a                                     *                                     a                                     *                                     (PI                                     /                                     3                                     ))                       
                                   
                         # Driver code                       
                         a                                     =                                     6.0                       
                         print                                     (                                     "Area of circumscribed circle is :%f"                       
                                                 %                                     area_cicumscribed(a))                       
           
                         # This code is contributed by Anant Agarwal.                       

C#

                         // C# code to find the area of                       
                         // circumscribed circle                       
                         // of equilateral triangle                       
                         using                                     System;                       
           
                         class                                     GFG {                       
                                                 static                                     double                                     PI = 3.14159265;                       
                                   
                                                 // function to find the area of                       
                                                 // circumscribed circle                       
                                                 public                                     static                                     double                                     area_cicumscribed(                                     double                                     a)                       
                                                 {                       
                                                 return                                     (a * a * (PI / 3));                       
                                                 }                       
                                   
                                                 // Driver code                       
                                                 public                                     static                                     void                                     Main()                       
                                                 {                       
                                                 double                                     a = 6.0;                       
                                                 Console.Write(                                     "Area of circumscribed circle is :"                                     +                       
                                                 area_cicumscribed(a));                       
                                                 }                       
                         }                       
           
                         // This code is contributed by nitin mittal.                       

PHP

                         <?php                       
                         // PHP program to find the                       
                         // area of Circumscribed                       
                         // circle of equilateral triangle                       
                         $PI                                     = 3.14159265;                       
           
                         // function to find area of                       
                         // circumscribed circle                       
                         function                                     area_circumscribed(                                     $a                                     )                       
                         {                       
                                                 global                                     $PI                                     ;                       
                                                 return                                     (                                     $a                                     *                                     $a                                     * (                                     $PI                                     / 3));                       
                         }                       
           
                         // Driver code                       
                         $a                                     = 6;                       
                         echo                                     (                                     "Area of circumscribed circle is :"                                     );                       
                         echo                                     (area_circumscribed(                                     $a                                     ));                       
           
                         // This code is contributed by Ajit.                       
                         ?>                       

Javascript

                         <script>                       
           
                         // javascript program to find the area of Circumscribed                       
                         // circle of equilateral triangle                       
           
                         let pi = 3.14159265358979323846;                       
           
           
                         // function to calculate the area of circumcircle                       
                         // of equilateral triangle                       
                         function                                     area_circumscribed( a)                       
                         {                       
                                                 return                                     (a * a * (pi / 3));                       
                         }                       
                         // Driver code                       
           
                                                 let a, Area;                       
                                                 a = 6;                       
           
                                                 // function calling                       
                                                 Area = area_circumscribed(a);                       
                                                 // displaying the area                       
                                                 document.write(                                     "Area of CircumCircle :"                                     + Area.toFixed(7));                       
           
                         // This code is contributed by todaysgaurav                       
           
                         </script>                       

输出：

Area of circumscribed circle is :37.6991118

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