To find the volume of a regular polygon circumscribed around a sphere, we need to first find the length of a side of the polygon, and then use that length to calculate the volume of the polygon.
Here's the Python code to accomplish this task:
main.py512 chars20 lines
In this code, we use the math
module to perform mathematical calculations. We first input the radius of the sphere r
, and the number of sides of the regular polygon n
. Then we calculate s
, which is the length of a side of the polygon using the formula s = 2 * r * sin(pi/n)
. We then use s
to calculate the area of the polygon a
using the formula a = (n * s^2) / (4 * tan(pi/n))
. Finally, we calculate the volume of the polygon v
by multiplying the area a
by the height h
, which is equal to the diameter of the sphere 2r
. We then output the result using the print()
function.
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