Here we have a rectangle of length l & breadth b. We have to find the circumradius of the rectangle.
Examples:
Input : l = 3, b = 4 Output :2.5 Input :l = 10, b = 12 Output :3.95227774224
Approach:
From the diagram, we can clearly understand the circumradius r is half of the diagonal of the rectangle.
r = ?(l^2 + b^2)/2
Below is the implementation of the above approach:
C++
// C++ Program to find the radius// of the circumcircle of the given rectangle#include <bits/stdc++.h>using namespace std;// Function to find the radius// of the circumcirclefloat findRadiusOfcircumcircle(float l, float b){ // the sides cannot be negative if (l < 0 || b < 0) return -1; // Radius of the circumcircle float radius = sqrt(pow(l, 2) + pow(b, 2)) / 2; // Return the radius return radius;}// Driver codeint main(){ // Get the sides of the triangle float l = 4, b = 3; // Find the radius of the circumcircle cout << findRadiusOfcircumcircle(l, b) << endl; return 0;} |
C
// C Program to find the radius// of the circumcircle of the given rectangle#include <stdio.h>#include <math.h>// Function to find the radius// of the circumcirclefloat findRadiusOfcircumcircle(float l, float b){ // the sides cannot be negative if (l < 0 || b < 0) return -1; // Radius of the circumcircle float radius = sqrt(pow(l, 2) + pow(b, 2)) / 2; // Return the radius return radius;} // Driver codeint main(){ // Get the sides of the triangle float l = 4, b = 3; // Find the radius of the circumcircle printf("%f\n",findRadiusOfcircumcircle(l, b)); return 0;} |
Java
// Java Program to find the radius// of the circumcircle of the given// rectangleimport java.util.*;import java.lang.*;import java.io.*;class GFG{// Function to find the radius// of the circumcirclestatic float findRadiusOfcircumcircle(float l, float b){ // the sides cannot be negative if (l < 0 || b < 0) return -1; // Radius of the circumcircle float radius = (float) Math.sqrt(Math.pow(l, 2) + Math.pow(b, 2)) / 2; // Return the radius return radius;}// Driver codepublic static void main(String args[]){ // Get the sides of the triangle float l = 4, b = 3; // Find the radius of the circumcircle System.out.println(findRadiusOfcircumcircle(l, b));}}// This code is contributed by Subhadeep |
Python3
# Python Program to find the # radius of the circumcircle# of the given rectangleimport math # Function to find the radius# of the circumcircledef findRadiusOfcircumcircle(l, b): # the sides cannot be negative if (l < 0 or b < 0): return -1; # Radius of the circumcircle radius = (math.sqrt(pow(l, 2) + pow(b, 2)) / 2); # Return the radius return radius;# Driver code# Get the sides of the trianglel = 4;b = 3; # Find the radius of the circumcircleprint(findRadiusOfcircumcircle(l, b));# This code is contributed # by Shivi_Aggarwal |
C#
// C# Program to find the radius// of the circumcircle of the // given rectangleusing System;class GFG{// Function to find the radius// of the circumcirclestatic float findRadiusOfcircumcircle(float l, float b){ // the sides cannot be negative if (l < 0 || b < 0) return -1; // Radius of the circumcircle float radius = (float) Math.Sqrt(Math.Pow(l, 2) + Math.Pow(b, 2)) / 2; // Return the radius return radius;}// Driver codepublic static void Main(){ // Get the sides of the triangle float l = 4, b = 3; // Find the radius of the circumcircle Console.WriteLine(findRadiusOfcircumcircle(l, b));}}// This code is contributed by anuj_67 |
PHP
<?php// PHP Program to find the radius// of the circumcircle of the // given rectangle// Function to find the radius// of the circumcirclefunction findRadiusOfcircumcircle($l, $b){ // the sides cannot be negative if ($l < 0 || $b < 0) return -1; // Radius of the circumcircle $radius = sqrt(pow($l, 2) + pow($b, 2)) / 2; // Return the radius return $radius;}// Driver code// Get the sides of the triangle$l = 4; $b = 3;// Find the radius of the circumcircleecho findRadiusOfcircumcircle($l, $b);// This code is contributed by anuj_67?> |
Javascript
<script>// javascript Program to find the radius// of the circumcircle of the given// rectangle// Function to find the radius// of the circumcirclefunction findRadiusOfcircumcircle(l,b){ // the sides cannot be negative if (l < 0 || b < 0) return -1; // Radius of the circumcircle var radius = Math.sqrt(Math.pow(l, 2) + Math.pow(b, 2)) / 2; // Return the radius return radius;}// Driver code// Get the sides of the trianglevar l = 4, b = 3;// Find the radius of the circumcircledocument.write(findRadiusOfcircumcircle(l, b).toFixed(6));// This code contributed by shikhasingrajput </script> |
Output:
2.5
Time Complexity: O(1)
Auxiliary Space: O(1)
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