这里我们有一个长l宽b的矩形。我们必须找到矩形的圆周半径。
例子:
Input : l = 3, b = 4
Output :2.5
Input :l = 10, b = 12
Output :3.95227774224
方法:
从图中我们可以清楚地了解到外接半径r是矩形对角线的一半。
r = √(l^2 + b^2)/2
下面是上述方法的实现:
C++
// C++ Program to find the radius
// of the circumcircle of the given rectangle
#include
using namespace std;
// Function to find the radius
// of the circumcircle
float findRadiusOfcircumcircle(float l, float b)
{
// the sides cannot be negative
if (l < 0 || b < 0)
return -1;
// Radius of the circumcircle
float radius = sqrt(pow(l, 2) + pow(b, 2)) / 2;
// Return the radius
return radius;
}
// Driver code
int main()
{
// Get the sides of the triangle
float l = 4, b = 3;
// Find the radius of the circumcircle
cout << findRadiusOfcircumcircle(l, b) << endl;
return 0;
}
Java
// Java Program to find the radius
// of the circumcircle of the given
// rectangle
import java.util.*;
import java.lang.*;
import java.io.*;
class GFG
{
// Function to find the radius
// of the circumcircle
static float findRadiusOfcircumcircle(float l,
float b)
{
// the sides cannot be negative
if (l < 0 || b < 0)
return -1;
// Radius of the circumcircle
float radius = (float) Math.sqrt(Math.pow(l, 2) +
Math.pow(b, 2)) / 2;
// Return the radius
return radius;
}
// Driver code
public static void main(String args[])
{
// Get the sides of the triangle
float l = 4, b = 3;
// Find the radius of the circumcircle
System.out.println(findRadiusOfcircumcircle(l, b));
}
}
// This code is contributed by Subhadeep
Python3
# Python Program to find the
# radius of the circumcircle
# of the given rectangle
import math
# Function to find the radius
# of the circumcircle
def findRadiusOfcircumcircle(l, b):
# the sides cannot be negative
if (l < 0 or b < 0):
return -1;
# Radius of the circumcircle
radius = (math.sqrt(pow(l, 2) +
pow(b, 2)) / 2);
# Return the radius
return radius;
# Driver code
# Get the sides of the triangle
l = 4;
b = 3;
# Find the radius of the circumcircle
print(findRadiusOfcircumcircle(l, b));
# This code is contributed
# by Shivi_Aggarwal
C#
// C# Program to find the radius
// of the circumcircle of the
// given rectangle
using System;
class GFG
{
// Function to find the radius
// of the circumcircle
static float findRadiusOfcircumcircle(float l,
float b)
{
// the sides cannot be negative
if (l < 0 || b < 0)
return -1;
// Radius of the circumcircle
float radius = (float) Math.Sqrt(Math.Pow(l, 2) +
Math.Pow(b, 2)) / 2;
// Return the radius
return radius;
}
// Driver code
public static void Main()
{
// Get the sides of the triangle
float l = 4, b = 3;
// Find the radius of the circumcircle
Console.WriteLine(findRadiusOfcircumcircle(l, b));
}
}
// This code is contributed by anuj_67
PHP
Javascript
输出:
2.5