What is the area of the circular sector?
A circular sector, also known as a circular sector/sector of a circle, is a part of a circle enclosed by an arc between two radii. This area is bounded by two radii and an arc. To find the area inscribed, we need to find the angle between the two radii. The total area is equal to 360 degrees of angle. To find the area of an angle, we multiply the area by θ/360. This gives the area of the inscribed part.
where θ is the angle (in degrees) between the two radii.
The area of the circular sector = π*r*r*(θ/360).
Example
The area of a circular sector with a radius of 5 and an angle of 60 degrees is 13.083.
Area = (3.14*5*5)*(60/360) = 13.03
Sample code
Demonstration
#include <stdio.h> int main(void) { int r = 5; int angle = 60; float pie = 3.14; float area = (float)(pie*r*r*angle/360); printf("The area of sector of a circle of radius %d with an angle of %d is %f", r,angle,area); return 0; }
Output
The area of sector of a circle of radius 5 with an angle of 60 is 13.083333
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