Given a rectangle of length l & breadth b, we have to find the largest circle that can be inscribed in the rectangle.
Examples:
Input : l = 4, b = 8 Output : 12.56 Input : l = 16 b = 6 Output : 28.26
From the figure, we can see, the biggest circle that could be inscribed in the rectangle will have radius always equal to the half of the shorter side of the rectangle. So from the figure,
radius, r = b/2 &
Area, A = ? * (r^2)
C++
// C++ Program to find the biggest circle// which can be inscribed within the rectangle#include <bits/stdc++.h>using namespace std;// Function to find the area// of the biggest circlefloat circlearea(float l, float b){ // the length and breadth cannot be negative if (l < 0 || b < 0) return -1; // area of the circle if (l < b) return 3.14 * pow(l / 2, 2); else return 3.14 * pow(b / 2, 2);}// Driver codeint main(){ float l = 4, b = 8; cout << circlearea(l, b) << endl; return 0;} |
Java
// Java Program to find the // biggest circle which can be // inscribed within the rectangleclass GFG {// Function to find the area// of the biggest circlestatic float circlearea(float l, float b){// the length and breadth // cannot be negativeif (l < 0 || b < 0) return -1;// area of the circleif (l < b) return (float)(3.14 * Math.pow(l / 2, 2));else return (float)(3.14 * Math.pow(b / 2, 2));}// Driver codepublic static void main(String[] args) { float l = 4, b = 8; System.out.println(circlearea(l, b));}} // This code is contributed// by ChitraNayal |
Python 3
# Python 3 Program to find the # biggest circle which can be # inscribed within the rectangle# Function to find the area# of the biggest circledef circlearea(l, b): # the length and breadth # cannot be negative if (l < 0 or b < 0): return -1 # area of the circle if (l < b): return 3.14 * pow(l // 2, 2) else: return 3.14 * pow(b // 2, 2)# Driver codeif __name__ == "__main__": l = 4 b = 8 print(circlearea(l, b))# This code is contributed # by ChitraNayal |
C#
// C# Program to find the // biggest circle which can be// inscribed within the rectangleusing System;class GFG{// Function to find the area// of the biggest circlestatic float circlearea(float l, float b){// the length and breadth // cannot be negativeif (l < 0 || b < 0) return -1;// area of the circleif (l < b) return (float)(3.14 * Math.Pow(l / 2, 2));else return (float)(3.14 * Math.Pow(b / 2, 2));}// Driver codepublic static void Main(){ float l = 4, b = 8; Console.Write(circlearea(l, b));}} // This code is contributed// by ChitraNayal |
PHP
<?php // PHP Program to find the // biggest circle which can be// inscribed within the rectangle// Function to find the area// of the biggest circlefunction circlearea($l, $b){ // the length and breadth // cannot be negative if ($l < 0 || $b < 0) return -1; // area of the circle if ($l < $b) return 3.14 * pow($l / 2, 2); else return 3.14 * pow($b / 2, 2);}// Driver code$l = 4;$b = 8;echo circlearea($l, $b)."\n";// This code is contributed // by ChitraNayal?> |
Javascript
<script>// javascript Program to find the // biggest circle which can be // inscribed within the rectangle// Function to find the area// of the biggest circlefunction circlearea(l, b){ // the length and breadth // cannot be negative if (l < 0 || b < 0) return -1; // area of the circle if (l < b) return (3.14 * Math.pow(l / 2, 2)); else return (3.14 * Math.pow(b / 2, 2));}// Driver codevar l = 4, b = 8;document.write(circlearea(l, b));// This code is contributed by Amit Katiyar </script> |
Output:
12.56
Time complexity: O(1) as it is doing constant operations
Auxiliary Space: O(1)
Feeling lost in the world of random DSA topics, wasting time without progress? It’s time for a change! Join our DSA course, where we’ll guide you on an exciting journey to master DSA efficiently and on schedule.
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
Ready to dive in? Explore our Free Demo Content and join our DSA course, trusted by over 100,000 neveropen!
… [Trackback]
[…] There you can find 88981 more Information to that Topic: geeksforgeeks.org/the-biggest-possible-circle-that-can-be-inscribed-in-a-rectangle/ […]
… [Trackback]
[…] Info on that Topic: geeksforgeeks.org/the-biggest-possible-circle-that-can-be-inscribed-in-a-rectangle/ […]