Program to find area of a Circular Segment in C++

In this tutorial, we will be discussing a program to find area of a circular segment.

Making a chord in a given sphere divides it into two segments - major and minor. Given the radius of the circle and angle making the minor segment, we are required to find the areas of both segments.

Example

#include <bits/stdc++.h>
using namespace std;
float pi = 3.14159;
//finding area of segment
float area_of_segment(float radius, float angle){
   float area_of_sector = pi * (radius * radius)*(angle / 360);
   float area_of_triangle = (float)1 / 2 *(radius * radius) *
      sin((angle * pi) / 180);
   return area_of_sector - area_of_triangle;
}
int main() {
   float radius = 10.0, angle = 90.0;
   cout << "Area of minor segment = "
      << area_of_segment(radius, angle) << endl;
   cout << "Area of major segment = "
      << area_of_segment(radius, (360 - angle));
   return 0;
}

Output

Area of minor segment = 28.5397
Area of major segment = 285.619