# 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.

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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