find the surface area of a regular polygon inscribed in a pyramid in javascript

index.tsx
// Define the number of sides of the polygon and the side length
const numSides = 6; // for hexagon
const sideLength = 5;

// Calculate the interior angle of the polygon
const intAngle = (numSides - 2) * Math.PI / numSides;

// Calculate the apothem of the polygon
const apothem = sideLength / (2 * Math.tan(Math.PI / numSides));

// Calculate the perimeter of the polygon
const perimeter = numSides * sideLength;

// Set the height and slant height of the pyramid
const height = 10;
const slantHeight = Math.sqrt(Math.pow(height, 2) + Math.pow(apothem, 2));

// Calculate the surface area of the pyramid
const baseArea = 0.5 * perimeter * apothem;
const lateralArea = perimeter * slantHeight / 2;
const totalArea = baseArea + lateralArea;

console.log('Surface area:', totalArea);
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