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

index.tsx
// Define variables
const radius = 5; // radius of the cylinder and the circumscribed polygon
const height = 10; // height of the cylinder
const sides = 6; // number of sides of the circumscribed polygon

// Calculate the lateral surface area of the cylinder
const cylinderLateralArea = 2 * Math.PI * radius * height;

// Calculate the area of the regular polygon
const polygonApothem = radius * Math.cos(Math.PI / sides); // distance from the center of the polygon to the midpoint of a side
const polygonSideLength = 2 * radius * Math.sin(Math.PI / sides); // length of one side of the polygon
const polygonPerimeter = sides * polygonSideLength; // perimeter of the polygon
const polygonArea = (polygonPerimeter * polygonApothem) / 2; // area of the polygon

// Add the two areas together to get the total surface area
const totalSurfaceArea = cylinderLateralArea + polygonArea;

// Print the result to the console
console.log(`The surface area of the polygon circumscribed around a cylinder with radius ${radius} and height ${height} is ${totalSurfaceArea}.`);
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