find the surface area of a regular polygon circumscribed around a cone in javascript

index.tsx
const n = 5; // for example, a pentagon
const s = 10; // side length of the polygon
const h = 15; // height of the cone

const r = s / (2 * Math.sin(Math.PI/n));
const l = Math.sqrt(h**2 + r**2);
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index.tsx
const baseArea = Math.PI * r**2;
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index.tsx
const p = s * n;
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index.tsx
const faceArea = (l * s) / 2;
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index.tsx
const lateralArea = faceArea * n;
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index.tsx
const totalSurfaceArea = baseArea + lateralArea;
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index.tsx
function surfaceAreaOfConeCircumscribedByPolygon(n, s, h) {
  const r = s / (2 * Math.sin(Math.PI/n));
  const l = Math.sqrt(h**2 + r**2);
  const baseArea = Math.PI * r**2;
  const p = s * n;
  const faceArea = (l * s) / 2;
  const lateralArea = faceArea * n;
  const totalSurfaceArea = baseArea + lateralArea;
  return totalSurfaceArea;
}

// Call the function with example values
surfaceAreaOfConeCircumscribedByPolygon(5, 10, 15); // Output: 822.7155432061369
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