Given an integer d which is the length of the diagonal of a pentagon, the task is to find the area of that pentagon.
Examples:
Input: d = 5
Output: 16.4291
Input: d = 10
Output: 65.7164
Approach: Pentagon is a regular polygon having five equal sides and all equal angles. The interior angles of pentagon are of 108 degrees each and the sum of all angles of a pentagon is 540 degrees. If d is the diagonal of the pentagon then it’s area is given by:
Below is the implementation of the above approach:
C++
// C++ program to find the area of // Pentagon with given diagonal #include <bits/stdc++.h> using namespace std;
// Function to return the area of the // pentagon with diagonal d float pentagonArea( float d)
{ float area;
// Formula to find area
area = (d * d * (-5 + sqrt (45)) * sqrt ( sqrt (20) + 5)) / 8;
return area;
} // Driver code int main()
{ float d = 5;
cout << pentagonArea(d);
return 0;
} |
Java
// Java program to find the area of // Pentagon with given diagonal import java.text.*;
class GFG{
// Function to return the area of the // pentagon with diagonal d static double pentagonArea( double d)
{ double area;
// Formula to find area
area = (d * d * (- 5 + Math.sqrt( 45 )) * Math.sqrt(Math.sqrt( 20 ) + 5 )) / 8 ;
return area;
} // Driver code public static void main(String[] args)
{ double d = 5 ;
DecimalFormat dec = new DecimalFormat( "#0.0000" );
System.out.println(dec.format(pentagonArea(d)));
} } // This code is contributed by mits |
Python3
# Python3 program to find the area of # Pentagon with given diagonal # from math lib import sqrt() method from math import sqrt
# Function to return the area of the # pentagon with diagonal d def pentagonArea(d) :
# Formula to find area
area = (d * d * ( - 5 + sqrt( 45 )) * sqrt(sqrt( 20 ) + 5 )) / 8
return round (area , 4 )
# Driver code if __name__ = = "__main__" :
d = 5
print (pentagonArea(d))
# This code is contributed by Ryuga |
C#
// C# program to find the area of // Pentagon with given diagonal using System;
class GFG{
// Function to return the area of the // pentagon with diagonal d static double pentagonArea( double d)
{ double area;
// Formula to find area
area = (d * d * (-5 + Math.Sqrt(45)) * Math.Sqrt(Math.Sqrt(20) + 5)) / 8;
return area;
} // Driver code public static void Main()
{ double d = 5;
Console.WriteLine( "{0:F4}" ,pentagonArea(d));
} } // This code is contributed by mits |
PHP
<?php // PHP program to find the area of // Pentagon with given diagonal // Function to return the area of the // pentagon with diagonal d Function pentagonArea( $d )
{ $area ;
// Formula to find area
$area = ( $d * $d * (-5 +sqrt(45)) * sqrt(sqrt(20) + 5)) / 8;
return $area ;
} // Driver code { $d = 5;
echo (pentagonArea( $d ));
return 0;
} //This code is contributed by Mukul singh. |
Javascript
<script> // javascript program to find the area of // Pentagon with given diagonal // Function to return the area of the // pentagon with diagonal d function pentagonArea( d)
{ let area;
// Formula to find area
area = (d * d * (-5 + Math.sqrt(45)) * Math.sqrt(Math.sqrt(20) + 5)) / 8;
return area;
} // Driver code let d = 5;
document.write(pentagonArea(d).toFixed(4));
// This code is contributed by gauravrajput1 </script> |
Output:
16.4291
Time Complexity: O(1)
Auxiliary Space: O(1)
Recommended Articles