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Area of a circle inscribed in a rectangle which is inscribed in a semicircle in C?
A circle inscribed in a rectangle touches the larger side of the rectangle with its ends i.e. the length is tangent to the circle.
A rectangle inscribed in a semicircle touches its arc at two points. The breadth of the rectangle is equal to the diameter of the circle.
If R is the radius of semi-circle.
Length of the rectangle = √2R/2
Breadth of the rectangle = R/√2
Radius of biggest circle inscribed is
r = b/2 = R/2√2
Using this formula we can find the area of this circle inscribed in a rectangle which is inscribed in a semicircle,
Area = (π*r2) = π*R/8
Example
#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;
}Output
The area of the circle inscribed in a rectangle inscribed in a semicircle of radius 5.00000 is 1.962500
Updated on: 03-Oct-2019
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