To find the volume of a regular polygon circumscribed around a triangular prism, we can follow these steps:
Here's the TypeScript code that implements these steps:
index.ts555 chars16 lines
This code defines a function findPolygonVolume
that takes the number of sides, length of each side, and height of the triangular prism as arguments, and returns the volume of the prism. It first calculates the area of the base triangle, then uses that and the number of sides to find the length of each side of the regular polygon. It then calculates the apothem of the polygon, and uses that and the height of the triangular prism to find the volume of the prism. Finally, it returns the volume.
gistlibby LogSnag