Circumradius of the rectangle

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 apporach:

C++

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// 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 circumcircle
float 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 code
int main()
{
  
    // Get the sides of the traingle
    float l = 4, b = 3;
    // Find the radius of the circumcircle
    cout << findRadiusOfcircumcircle(l, b) << endl;
  
    return 0;
}

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Java

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// Java Program to find the radius
// of the circumcircle of the given
// rectangle
import java.util.*;
import java.lang.*;
import java.io.*;
  
class GFG
{
  
// Function to find the radius
// of the circumcircle
static 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 code
public static void main(String args[])
{
  
    // Get the sides of the traingle
    float l = 4, b = 3;
    // Find the radius of the circumcircle
    System.out.println(findRadiusOfcircumcircle(l, b));
}
}
  
// This code is contributed by Subhadeep

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Python3

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# Python Program to find the 
# radius of the circumcircle
# of the given rectangle
import math 
  
# Function to find the radius
# of the circumcircle
def 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 traingle
l = 4;
b = 3;
      
# Find the radius of the circumcircle
print(findRadiusOfcircumcircle(l, b));
  
# This code is contributed 
# by Shivi_Aggarwal

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C#

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// C# Program to find the radius
// of the circumcircle of the 
// given rectangle
using System;
  
class GFG
{
  
// Function to find the radius
// of the circumcircle
static 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 code
public static void Main()
{
  
    // Get the sides of the traingle
    float l = 4, b = 3;
      
    // Find the radius of the circumcircle
    Console.WriteLine(findRadiusOfcircumcircle(l, b));
}
}
  
// This code is contributed by anuj_67

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PHP

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<?php
// PHP Program to find the radius
// of the circumcircle of the 
// given rectangle
  
// Function to find the radius
// of the circumcircle
function 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 traingle
$l = 4; $b = 3;
  
// Find the radius of the circumcircle
echo findRadiusOfcircumcircle($l, $b);
  
// This code is contributed by anuj_67
?>

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Output:

2.5


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