Area of circle which is inscribed in equilateral triangle
Given here is an equilateral triangle with side length a, the task is to find the area of the circle inscribed in that equilateral triangle.
Examples:
Input : a = 4 Output : 4.1887902047863905 Input : a = 10 Output : 26.1799387799
Approach:
Area of equilateral triangle =
Semi perimeter of equilateral triangle = (a + a + a) / 2
Radius of inscribed circle r = Area of equilateral triangle / Semi perimeter of equilateral triangle
=
=
Area of circle = PI*(r*r) =*** QuickLaTeX cannot compile formula: *** Error message: Error: Nothing to show, formula is empty
Below is the implementation of above approach:
C++
// C++ program to find the area // of circle which is inscribed // in equilateral triangle # include<bits/stdc++.h> # define PI 3.14 using namespace std; // Function return the area of circle // inscribed in equilateral triangle float circle_inscribed( int a) { return PI * (a * a) / 12; } // Driver code int main() { int a = 4; cout << circle_inscribed(a); return 0; } // This code is contributed // by Mahadev99 |
Java
// Java program to find the area // of circle which is inscribed // in equilateral triangle import java.io.*; class GFG { static double PI = 3.14 ; // Function return the area of circle // inscribed in equilateral triangle static double circle_inscribed( int a) { return PI * (a * a) / 12 ; } // Driver code public static void main (String[] args) { int a = 4 ; System.out.println(circle_inscribed(a)); } } // This code is contributed by anuj_67 |
Python3
# Python3 program to find the area of circle # which is inscribed in equilateral triangle # import math library for pi value from math import pi # Function return the area of circle # inscribed in equilateral triangle def circle_inscribed(a): return pi * (a * a) / 12 # Driver code a = 4 print (circle_inscribed(a)) |
C#
// C# program to find the area // of circle which is inscribed // in equilateral triangle using System; class GFG { static double PI = 3.14; // Function return the area of circle // inscribed in equilateral triangle static double circle_inscribed( int a) { return PI * (a * a) / 12; } // Driver code public static void Main () { int a = 4; Console.WriteLine( circle_inscribed(a)); } } // This code is contributed // by inder_verma |
PHP
<?php // PHP program to find the area // of circle which is inscribed // in equilateral triangle // Function return the area of circle // inscribed in equilateral triangle function circle_inscribed( $a ) { return 3.14 * ( $a * $a ) / 12; } // Driver code $a = 4; echo circle_inscribed( $a ); // This code is contributed // by Akanksha Rai(Abby_akku) |
Javascript
<script> // javascript program to find the area // of circle which is inscribed // in equilateral triangle let PI = 3.14; // Function return the area of circle // inscribed in equilateral triangle function circle_inscribed( a) { return PI * (a * a) / 12; } // Driver code let a = 4; document.write(circle_inscribed(a).toFixed(5)); // This code contributed by gauravrajput1 </script> |
Output
4.18667
Time complexity: O(1), since there is no loop or recursion.
Auxiliary Space: O(1), since no extra space has been taken.
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