find the surface area of a regular polygon inscribed in a cone in typescript

To find the surface area of a regular polygon inscribed in a cone, we need to calculate the surface area of the base of the cone and the surface area of the polygon.

The surface area of the base of the cone can be found using the formula for the area of a circle:

index.ts
const radius = coneRadius;
const baseArea = Math.PI * Math.pow(radius, 2);
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Next, we need to calculate the surface area of the regular polygon. The formula for the surface area of a regular polygon with n sides of length s inscribed in a circle with radius r is:

index.ts
const n = polygonSides;
const s = polygonSideLength;
const r = coneRadius;

const polygonArea = (n * s * r) / 2;
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Once we have both the base area and the polygon area, we can add them together to get the total surface area of the cone:

index.ts
const coneSurfaceArea = baseArea + polygonArea;
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Thus, the complete code to find the surface area of a regular polygon inscribed in a cone in TypeScript would be:

index.ts
const radius = coneRadius;
const n = polygonSides;
const s = polygonSideLength;
const r = coneRadius;

const baseArea = Math.PI * Math.pow(radius, 2);
const polygonArea = (n * s * r) / 2;
const coneSurfaceArea = baseArea + polygonArea;

console.log(`The surface area of the cone is ${coneSurfaceArea}`);
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Note that you will need to replace coneRadius, polygonSides, and polygonSideLength with your desired values.