# Check if two given circles touch or intersect each other

There are two circle A and B with their centres **C1(x1, y1)** and **C2(x2, y2)** and radius **R1** and **R2**. Task is to check both circles A and B touch each other or not.**Examples :**

Input : C1 = (3, 4) C2 = (14, 18) R1 = 5, R2 = 8 Output : Circles do not touch each other. Input : C1 = (2, 3) C2 = (15, 28) R1 = 12, R2 = 10 Output : Circles intersect with each other. Input : C1 = (-10, 8) C2 = (14, -24) R1 = 30, R2 = 10 Input : -10 8 14 -24 30 10 Output : Circle touch each other.

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Distance between centres C1 and C2 is calculated asThere are three condition arises. 1. IfC1C2 = sqrt((x1 - x2)^{2 + (y1 - y2)2).}Circle A and B are touch to each other. 2. IfC1C2 == R1 + R2Circle A and B are not touch to each other. 3. IfC1C2 > R1 + R2Circle intersects each other.C1C2 < R1 + R2

## C++

`// C++ program to check if two` `// circles touch each other or not.` `#include <bits/stdc++.h>` `using` `namespace` `std;` `int` `circle(` `int` `x1, ` `int` `y1, ` `int` `x2,` ` ` `int` `y2, ` `int` `r1, ` `int` `r2)` `{` ` ` `int` `distSq = (x1 - x2) * (x1 - x2) +` ` ` `(y1 - y2) * (y1 - y2);` ` ` `int` `radSumSq = (r1 + r2) * (r1 + r2);` ` ` `if` `(distSq == radSumSq)` ` ` `return` `1;` ` ` `else` `if` `(distSq > radSumSq)` ` ` `return` `-1;` ` ` `else` ` ` `return` `0;` `}` `// Driver code` `int` `main()` `{` ` ` `int` `x1 = -10, y1 = 8;` ` ` `int` `x2 = 14, y2 = -24;` ` ` `int` `r1 = 30, r2 = 10;` ` ` `int` `t = circle(x1, y1, x2,` ` ` `y2, r1, r2);` ` ` `if` `(t == 1)` ` ` `cout << ` `"Circle touch to"` ` ` `<< ` `" each other."` `;` ` ` `else` `if` `(t < 0)` ` ` `cout << ` `"Circle not touch"` ` ` `<< ` `" to each other."` `;` ` ` `else` ` ` `cout << ` `"Circle intersect"` ` ` `<< ` `" to each other."` `;` ` ` `return` `0;` `}` |

## Java

`// Java program to check if two` `// circles touch each other or not.` `import` `java.io.*;` `class` `GFG` `{` ` ` `static` `int` `circle(` `int` `x1, ` `int` `y1, ` `int` `x2,` ` ` `int` `y2, ` `int` `r1, ` `int` `r2)` ` ` `{` ` ` `int` `distSq = (x1 - x2) * (x1 - x2) +` ` ` `(y1 - y2) * (y1 - y2);` ` ` `int` `radSumSq = (r1 + r2) * (r1 + r2);` ` ` `if` `(distSq == radSumSq)` ` ` `return` `1` `;` ` ` `else` `if` `(distSq > radSumSq)` ` ` `return` `-` `1` `;` ` ` `else` ` ` `return` `0` `;` ` ` `}` ` ` `// Driver code` ` ` `public` `static` `void` `main (String[] args)` ` ` `{` ` ` `int` `x1 = -` `10` `, y1 = ` `8` `;` ` ` `int` `x2 = ` `14` `, y2 = -` `24` `;` ` ` `int` `r1 = ` `30` `, r2 = ` `10` `;` ` ` `int` `t = circle(x1, y1, x2,` ` ` `y2, r1, r2);` ` ` `if` `(t == ` `1` `)` ` ` `System.out.println ( ` `"Circle touch to"` `+` ` ` `" each other."` `);` ` ` `else` `if` `(t < ` `0` `)` ` ` `System.out.println ( ` `"Circle not touch"` `+` ` ` `" to each other."` `);` ` ` `else` ` ` `System.out.println ( ` `"Circle intersect"` `+` ` ` `" to each other."` `);` ` ` ` ` `}` `}` `// This article is contributed by vt_m.` |

## Python3

`# Python3 program to` `# check if two circles touch` `# each other or not.` `def` `circle(x1, y1, x2, y2, r1, r2):` ` ` ` ` `distSq ` `=` `(x1 ` `-` `x2) ` `*` `(x1 ` `-` `x2) ` `+` `(y1 ` `-` `y2) ` `*` `(y1 ` `-` `y2);` ` ` `radSumSq ` `=` `(r1 ` `+` `r2) ` `*` `(r1 ` `+` `r2);` ` ` `if` `(distSq ` `=` `=` `radSumSq):` ` ` `return` `1` ` ` `elif` `(distSq > radSumSq):` ` ` `return` `-` `1` ` ` `else` `:` ` ` `return` `0` ` ` `# Driver code` `x1 ` `=` `-` `10` `y1 ` `=` `8` `x2 ` `=` `14` `y2 ` `=` `-` `24` `r1 ` `=` `30` `r2 ` `=` `10` `t ` `=` `circle(x1, y1, x2, y2, r1, r2)` `if` `(t ` `=` `=` `1` `):` ` ` `print` `(` `"Circle touch to each other."` `)` `elif` `(t < ` `0` `):` ` ` `print` `(` `"Circle not touch to each other."` `)` `else` `:` ` ` `print` `(` `"Circle intersect to each other."` `)` `# This code is contributed by` `# Smitha Dinesh Semwal` |

## C#

`// C# program to check if two` `// circles touch each other or not.` `using` `System;` `class` `GFG` `{` ` ` `static` `int` `circle(` `int` `x1, ` `int` `y1, ` `int` `x2,` ` ` `int` `y2, ` `int` `r1, ` `int` `r2)` ` ` `{` ` ` `int` `distSq = (x1 - x2) * (x1 - x2) +` ` ` `(y1 - y2) * (y1 - y2);` ` ` `int` `radSumSq = (r1 + r2) * (r1 + r2);` ` ` `if` `(distSq == radSumSq)` ` ` `return` `1;` ` ` `else` `if` `(distSq > radSumSq)` ` ` `return` `-1;` ` ` `else` ` ` `return` `0;` ` ` `}` ` ` `// Driver code` ` ` `public` `static` `void` `Main ()` ` ` `{` ` ` `int` `x1 = -10, y1 = 8;` ` ` `int` `x2 = 14, y2 = -24;` ` ` `int` `r1 = 30, r2 = 10;` ` ` `int` `t = circle(x1, y1, x2,` ` ` `y2, r1, r2);` ` ` `if` `(t == 1)` ` ` `Console.WriteLine ( ` `"Circle touch"` `+` ` ` `" to each other."` `);` ` ` `else` `if` `(t < 0)` ` ` `Console.WriteLine( ` `"Circle not touch"` `+` ` ` `" to each other."` `);` ` ` `else` ` ` `Console.WriteLine ( ` `"Circle intersect"` `+` ` ` `" to each other."` `);` ` ` ` ` `}` `}` `// This code is contributed by vt_m.` |

## PHP

`<?php` `// PHP program to check if two` `// circles touch each other or not.` `function` `circle(` `$x1` `, ` `$y1` `, ` `$x2` `,` ` ` `$y2` `, ` `$r1` `, ` `$r2` `)` `{` ` ` `$distSq` `= (` `$x1` `- ` `$x2` `) * (` `$x1` `- ` `$x2` `) +` ` ` `(` `$y1` `- ` `$y2` `) * (` `$y1` `- ` `$y2` `);` ` ` `$radSumSq` `= (` `$r1` `+ ` `$r2` `) * (` `$r1` `+ ` `$r2` `);` ` ` `if` `(` `$distSq` `== ` `$radSumSq` `)` ` ` `return` `1;` ` ` `else` `if` `(` `$distSq` `> ` `$radSumSq` `)` ` ` `return` `-1;` ` ` `else` ` ` `return` `0;` `}` `// Driver code` `$x1` `= -10; ` `$y1` `= 8;` `$x2` `= 14; ` `$y2` `= -24;` `$r1` `= 30; ` `$r2` `= 10;` `$t` `= circle(` `$x1` `, ` `$y1` `, ` `$x2` `,` ` ` `$y2` `, ` `$r1` `, ` `$r2` `);` `if` `(` `$t` `== 1)` ` ` `echo` `"Circle touch to each other."` `;` `else` `if` `(` `$t` `< 0)` ` ` `echo` `"Circle not touch to each other."` `;` `else` ` ` `echo` `"Circle intersect to each other."` `;` `// This code is contributed by vt_m.` `?>` |

## Javascript

`<script>` `// JavaScript program to check if two` `// circles touch each other or not.` `function` `circle(x1, y1, x2,` ` ` `y2, r1, r2)` ` ` `{` ` ` `let distSq = (x1 - x2) * (x1 - x2) +` ` ` `(y1 - y2) * (y1 - y2);` ` ` `let radSumSq = (r1 + r2) * (r1 + r2);` ` ` `if` `(distSq == radSumSq)` ` ` `return` `1;` ` ` `else` `if` `(distSq > radSumSq)` ` ` `return` `-1;` ` ` `else` ` ` `return` `0;` ` ` `}` `// Driver Code` ` ` `let x1 = -10, y1 = 8;` ` ` `let x2 = 14, y2 = -24;` ` ` `let r1 = 30, r2 = 10;` ` ` `let t = circle(x1, y1, x2,` ` ` `y2, r1, r2);` ` ` `if` `(t == 1)` ` ` `document.write ( ` `"Circle touch to"` `+` ` ` `" each other."` `);` ` ` `else` `if` `(t < 0)` ` ` `document.write( ` `"Circle not touch"` `+` ` ` `" to each other."` `);` ` ` `else` ` ` `document.write ( ` `"Circle letersect"` `+` ` ` `" to each other."` `);` ` ` ` ` `// This code is contributed by susmitakundugoaldanga.` `</script>` |

**Output : **

Circle touch to each other.

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