一个内切于矩形的圆与矩形的较长边相切,即长度与圆相切。
一个内切于半圆的矩形在半圆的弧上接触两点。矩形的宽度等于圆的直径。
如果R是半圆的半径。
矩形的长度 = √2R/2
矩形的宽度 = R/√2
内切圆的半径为
r = b/2 = R/2√2
使用这个公式我们可以计算出内切于内切于半圆的矩形的圆的面积,
面积 = (π*r2) = π*R/8
例子
演示
#include <stdio.h>
int main() {
float a = 5;
float area = 3.14 * a/ 8;
printf("The area of the circle inscribed in a rectangle inscribed in a semicircle of radius %f is %f", a , area);
return 0;
}
输出
The area of the circle inscribed in a rectangle inscribed in a semicircle of radius 5.00000 is 1.962500