Program to calculate the area between two Concentric Circles

Last Updated : 23 Jun, 2022

Given two concentric circles with radius X and Y where (X > Y). Find the area between them.
You are required to find the area of the green region as shown in the following image:

Examples:

Input : X = 2, Y = 1
Output : 9.42478

Input : X = 4, Y = 2
Output : 37.6991

Approach:
The area between the two given concentric circles can be calculated by subtracting the area of the inner circle from the area of the outer circle. Since X>Y. X is the radius of the outer circle.
Therefore, area between the two given concentric circles will be:

?*X² - ?*Y²

Below is the implementation of the above approach:

C++

// C++ program to find area between the
// two given concentric circles

#include <bits/stdc++.h>
using namespace std;

// Function to find area between the
// two given concentric circles
double calculateArea(int x, int y)
{
    // Declare value of pi
    double pi = 3.1415926536;

    // Calculate area of outer circle
    double arx = pi * x * x;

    // Calculate area of inner circle
    double ary = pi * y * y;

    // Difference in areas
    return arx - ary;
}

// Driver Program
int main()
{
    int x = 2;
    int y = 1;

    cout << calculateArea(x, y);

    return 0;
}

Java

// Java program to find area between the
// two given concentric circles
import java.io.*;

class GFG 
{
    
// Function to find area between the
// two given concentric circles
static double calculateArea(int x, int y)
{
    // Declare value of pi
    double pi = 3.1415926536;

    // Calculate area of outer circle
    double arx = pi * x * x;

    // Calculate area of inner circle
    double ary = pi * y * y;

    // Difference in areas
    return arx - ary;
}

// Driver code
public static void main (String[] args) 
{
    int x = 2;
    int y = 1;
    System.out.println (calculateArea(x, y));
}
}

// This code is contributed by jit_t.

Python3

# Python3 program to find area between  
# the two given concentric circles 

# Function to find area between the 
# two given concentric circles 
def calculateArea(x, y): 

    # Declare value of pi 
    pi = 3.1415926536

    # Calculate area of outer circle 
    arx = pi * x * x 

    # Calculate area of inner circle 
    ary = pi * y * y 

    # Difference in areas 
    return arx - ary 

# Driver Code
x = 2
y = 1

print(calculateArea(x, y)) 

# This code is contributed 
# by shashank_sharma

// C# program to find area between the
// two given concentric circles
using System;

class GFG 
{
    
// Function to find area between the
// two given concentric circles
static double calculateArea(int x, int y)
{
    // Declare value of pi
    double pi = 3.1415926536;

    // Calculate area of outer circle
    double arx = pi * x * x;

    // Calculate area of inner circle
    double ary = pi * y * y;

    // Difference in areas
    return arx - ary;
}

// Driver code
public static void Main () 
{
    int x = 2;
    int y = 1;
    Console.WriteLine(calculateArea(x, y));
}
}

// This code is contributed by Code_Mech.

PHP

<?php
// PHP program to find area between the
// two given concentric circles

// Function to find area between the
// two given concentric circles
function calculateArea($x, $y)
{
    // Declare value of pi
    $pi = 3.1415926536;

    // Calculate area of outer circle
    $arx = $pi * $x * $x;

    // Calculate area of inner circle
    $ary = $pi * $y * $y;

    // Difference in areas
    return ($arx - $ary);
}

// Driver Code
$x = 2;
$y = 1;

echo calculateArea($x, $y);

// This code is contributed by akt_mit
?>

JavaScript

<script>

// Javascript program to find area between 
// the two given concentric circles

// Function to find
// nth concentric hexagon number
function calculateArea(x, y)
{
    
    // Declare value of pi
    var pi = 3.1415926536;

    // Calculate area of outer circle
    var arx = pi * x * x;

    // Calculate area of inner circle
    var ary = pi * y * y;
    
    // Difference in areas
    return arx - ary;
}

// Driver code
var x = 2;
var y = 1;
        
// Function call
document.write(calculateArea(x, y));

// This code is contributed by Ankita saini

</script>

Output:

9.42478

Time Complexity: O(1)

Auxiliary Space: O(1)

Number of common tangents between two circles if their centers and radius is given

Abdullah Aslam

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Mathematical

Program to calculate the area between two Concentric Circles

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