To find the surface area of a regular polygon circumscribed around a cone, we first need to find the slant height of the cone. Once we have the slant height, we can use trigonometry to find the height of the cone and the radius of the base of the cone. With the height and radius, we can then find the perimeter and apothem of the regular polygon. Finally, we can use the formula for the surface area of a polygon to find the surface area of the regular polygon.
Here's the code to do all of that in Swift:
main.swift752 chars20 lines
Note: In this code, we assume that the regular polygon is inscribed in a circle with a radius of 'r'. If your problem specifies a different circle, you may need to adjust the code accordingly.
gistlibby LogSnag