这里给出n个在外部相互接触并排成一排的圆圈。给出了第一个和最后一个圆的中心之间的距离。圆的半径相等。任务是找到每个圆的半径。
例子:
Input: d = 42, n = 4
Output: The radius of each circle is 7
Input: d = 64, n = 5
Output: The radius of each circle is 8
方法:
假设有n个半径为r的圆。
令,第一个和最后一个圆之间的距离= d
从图中可以清楚地看出,
r + r +(n-2)* 2r = d
2r + 2nr – 4r = d
2nr – 2r = d
因此, r = d /(2n-2)
C++
// C++ program to find radii of the circles
// which are lined in a row
// and distance between the
// centers of first and last circle is given
#include
using namespace std;
void radius(int n, int d)
{
cout << "The radius of each circle is "
<< d / (2 * n - 2) << endl;
}
// Driver code
int main()
{
int d = 42, n = 4;
radius(n, d);
return 0;
}
Java
// Java program to find radii of the circles
// which are lined in a row
// and distance between the
// centers of first and last circle is given
import java.io.*;
class GFG
{
static void radius(int n, int d)
{
System.out.print( "The radius of each circle is "
+d / (2 * n - 2));
}
// Driver code
static public void main (String []args)
{
int d = 42, n = 4;
radius(n, d);
}
}
// This code is contributed by anuj_67..
Python3
# Python program to find radii of the circles
# which are lined in a row
# and distance between the
# centers of first and last circle is given
def radius(n, d):
print("The radius of each circle is ",
d / (2 * n - 2));
d = 42; n = 4;
radius(n, d);
# This code is contributed by PrinciRaj1992
C#
// C# program to find radii of the circles
// which are lined in a row
// and distance between the
// centers of first and last circle is given
using System;
class GFG
{
static void radius(int n, int d)
{
Console.Write( "The radius of each circle is "
+d / (2 * n - 2));
}
// Driver code
static public void Main ()
{
int d = 42, n = 4;
radius(n, d);
}
}
// This code is contributed by anuj_67..
Javascript
输出:
The radius of each circle is 7