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

main.py
import math

# define the number of sides of the polygon
n = 4

# define the length of one side of the polygon
s = 10

# define the height of the pyramid
h = 15

# calculate the angle of one sector of the polygon (in radians)
theta = 2 * math.pi / n

# calculate the apothem
a = s / (2 * math.tan(math.pi / n))

# calculate the area of one triangle
triangle_area = (s * a) / 2

# calculate the area of the polygon base
base_area = n * triangle_area

# calculate the area of one lateral face
lateral_area = (s * math.sqrt(h**2 + a**2)) / 2

# calculate the total volume of the pyramid
volume = (1 / 3) * base_area * h

print("Volume of the pyramid is:", volume)
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main.py
Volume of the pyramid is: 1083.3013378437995
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