To find the surface area of a regular polygon circumscribed around a sphere, we need to find the surface area of the sphere and the surface area of the polygon. We can use the following formulae:
We can write a Python function to calculate the surface area of a regular polygon circumscribed around a sphere by taking the number of sides of the polygon and the radius of the sphere as inputs:
main.py469 chars17 lines
Here, we have imported the math module to use the pi, sin, and tan functions. We have defined a function surface_area_reg_polygon_circumscribed_sphere
that takes the number of sides of the polygon (n
) and the radius of the sphere (r
) as inputs. First, we calculate the surface area of the sphere using the formula mentioned above. Then, we calculate the length of each side of the polygon using the formula 2 * r * sin(pi/n)
. Finally, we calculate the surface area of the polygon and the total surface area of the regular polygon circumscribed around the sphere using the formulae mentioned above.
We can call this function with suitable inputs to get the surface area of a regular polygon circumscribed around a sphere.
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