To find the surface area of a regular polygon that is inscribed in a triangular prism, we need to break down the problem into smaller parts.
First, we need to calculate the perimeter of the regular polygon. We can use the number of sides and the length of a side to do this.
Next, we need to find the apothem of the polygon, which is the distance from the center of the polygon to the midpoint of one of its sides. We can use trigonometry to find this value.
Once we have the perimeter and apothem, we can use the formula for the area of a regular polygon:
main.py33 chars2 lines
Finally, we need to calculate the surface area of the triangular prism, which involves finding the area of the two triangles and the three rectangles that make up its surface.
Here's an implementation of a Python function that takes in the number of sides, the length of a side, and the height of the prism, and returns the surface area of the inscribed regular polygon.
main.py598 chars18 lines
gistlibby LogSnag