find the surface area of a regular polygon circumscribed around a sphere in typescript

index.ts
function surfaceAreaOfRegularPolygonCircumscribedAroundSphere(r: number, n: number): number {
  const sideLength = 2 * r * Math.sin(Math.PI / n); // Calculate the length of one side of the polygon
  const polygonArea = (n * Math.pow(sideLength, 2)) / (4 * Math.tan(Math.PI / n)); // Calculate the area of the polygon
  const sphereSurfaceArea = 4 * Math.PI * Math.pow(r, 2); // Calculate the surface area of the sphere
  return polygonArea + sphereSurfaceArea; // Add the polygon area and sphere surface area to get the total surface area
}
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