求圆的直径或最长弦
给定半径为“r”的圆，任务是找出圆的直径或最长弦。 例:
Input: r = 4
Output: 8
Input: r = 9
Output: 18
圆最长弦是其直径的证明:
- 在上面画圆 O 和任意和弦 AB。
- 从和弦的一个端点，比如 A，画一条穿过中心的线段。也就是画一个直径。
- 现在画一个从中心 0 到 b 的半径
- 由三角形不等式可知，
AB < AO + OB
= r + r
= 2r
= d
- 所以，任何不是直径的弦都会小于直径。
- 所以最大的弦是直径
接近 :
- 任何圆最长的弦是它的直径。
- 因此，圆的直径是它的半径的两倍。
Length of the longest chord or diameter = 2r
以下是上述方法的实现:
C++
// C++ program to find
// the longest chord or diameter
// of the circle whose radius is given
#include <bits/stdc++.h>
using namespace std;
// Function to find the longest chord
void diameter(double r)
{
cout << "The length of the longest chord"
<< " or diameter of the circle is "
<< 2 * r << endl;
}
// Driver code
int main()
{
// Get the radius
double r = 4;
// Find the diameter
diameter(r);
return 0;
}
Java 语言(一种计算机语言，尤用于创建网站)
// Java program to find
// the longest chord or diameter
// of the circle whose radius is given
class GFG
{
// Function to find the longest chord
static void diameter(double r)
{
System.out.println("The length of the longest chord"
+ " or diameter of the circle is "
+ 2 * r);
}
// Driver code
public static void main(String[] args)
{
// Get the radius
double r = 4;
// Find the diameter
diameter(r);
}
}
// This code contributed by Rajput-Ji
Python 3
# Python3 program to find
# the longest chord or diameter
# of the circle whose radius is given
# Function to find the longest chord
def diameter(r):
print("The length of the longest chord"
," or diameter of the circle is "
,2 * r)
# Driver code
# Get the radius
r = 4
# Find the diameter
diameter(r)
# This code is contributed by mohit kumar
C
// C# program to find
// the longest chord or diameter
// of the circle whose radius is given
using System;
class GFG
{
// Function to find the longest chord
static void diameter(double r)
{
Console.WriteLine("The length of the longest chord"
+ " or diameter of the circle is "
+ 2 * r);
}
// Driver code
public static void Main(String[] args)
{
// Get the radius
double r = 4;
// Find the diameter
diameter(r);
}
}
// This code has been contributed by 29AjayKumar
服务器端编程语言（Professional Hypertext Preprocessor 的缩写）
<?php
// PHP program to find
// the longest chord or diameter
// of the circle whose radius is given
// Function to find the longest chord
function diameter($r)
{
echo "The length of the longest chord"
," or diameter of the circle is "
,2 * $r << "\n";
}
// Driver code
// Get the radius
$r = 4;
// Find the diameter
diameter($r);
// This code is contributed by Ryuga
?>
java 描述语言
<script>
// javascript program to find
// the longest chord or diameter
// of the circle whose radius is given
// Function to find the longest chord
function diameter(r)
{
document.write("The length of the longest chord"
+ " or diameter of the circle is "
+ 2 * r);
}
// Driver code
// Get the radius
var r = 4;
// Find the diameter
diameter(r);
// This code contributed by Princi Singh
</script>
Output:
The length of the longest chord or diameter of the circle is 8
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