# Program to calculate the area between two Concentric Circles

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 = 1Output :9.42478Input :X = 4, Y = 2Output :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:

π*X^{2}- π*Y^{2}

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; ` `} ` |

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## 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. ` |

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## Python 3

`# 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 ` |

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## C#

`// 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. ` |

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## 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 ` `?> ` |

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**Output:**

9.42478

**Time Complexity:** O(1)

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