find the volume of a regular polygon circumscribed around a pyramid in javascript

To find the volume of a regular polygon circumscribed around a pyramid, we need to know the apothem (the distance from the center of the polygon to the midpoint of a side) and the height of the pyramid. Here's how you can calculate the volume in JavaScript:

index.tsx
function findVolume(numSides, sideLength, pyramidHeight) {
  // Calculate the apothem of the polygon
  const apothem = (sideLength / 2) / Math.tan(Math.PI / numSides);
  // Calculate the base area of the polygon
  const baseArea = (numSides * Math.pow(sideLength, 2)) / (4 * Math.tan(Math.PI / numSides));
  // Calculate the volume of the pyramid
  const volume = (1 / 3) * baseArea * pyramidHeight;
  // Calculate the volume of the circumscribed regular polygon pyramid
  const polygonVolume = baseArea * apothem * (1 / 3);
  return polygonVolume;
}
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You can then call this function with the number of sides, side length, and pyramid height as arguments to get the volume of the circumscribed polygon.

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