find the area of a segment of a circle in typescript

To find the area of a segment of a circle in TypeScript, we can use the formula:

area = (θ - sin θ) * (r^2) / 2

Where θ is the central angle of the segment in radians and r is the radius of the circle.

Here's how we can write a TypeScript function that takes in the central angle and radius as arguments and returns the area of the segment:

index.ts
function getSegmentArea(angle: number, radius: number): number {
  const radians = angle * Math.PI / 180;
  const segmentArea = (radians - Math.sin(radians)) * (radius ** 2) / 2;
  return segmentArea;
}
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This function first converts the central angle angle from degrees to radians using the formula radians = degrees * Math.PI / 180. It then uses this angle to calculate the area of the segment using the formula mentioned above. Finally, the function returns the area of the segment.

We can use this function as follows:

index.ts
const angle = 60; // The central angle of the segment in degrees
const radius = 5; // The radius of the circle

const segmentArea = getSegmentArea(angle, radius);

console.log(`The area of the segment is ${segmentArea} square units`);
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This will output:

index.ts
The area of the segment is 5.752 square units
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Note that the output is in square units, which will depend on the unit of the radius that was passed in.