find the area of a regular polygon inscribed in a circle in typescript

To find the area of a regular polygon inscribed in a circle, follow these steps:

1. Define the number of sides of the regular polygon, let's call it n.
2. Determine the radius of the circle, let's call it r.
3. Calculate the length of one side of the polygon, let's call it s. For a regular polygon, each side will be the same length, which can be found using the formula: s = 2 * r * sin(π/n)
4. Calculate the area of the polygon using the formula: A = (n * s^2) / (4 * tan(π/n))

Here's the TypeScript code:

index.ts
function areaOfRegularPolygonInCircle(n: number, r: number): number {
  const s = 2 * r * Math.sin(Math.PI / n);
  const area = (n * Math.pow(s, 2)) / (4 * Math.tan(Math.PI / n));
  return area;
}
197 chars
6 lines

This function takes in the number of sides and radius of the circle as parameters and returns the area of the regular polygon inscribed in the circle.