area_of_polygon_inside_circle.md

Calculate the area of a regular n sides polygon inside a circle of radius r

-Write the following function:

function areaOfPolygonInsideCircle(circleRadius, numberOfSides)

• It should calculate the area of a regular polygon of numberOfSides, number-of-sides, or number_of_sidessides inside a circle of radius circleRadius, circle-radius, or circle_radius which passes through all the vertices of the polygon (such circle is called circumscribed circle or circumcircle). The answer should be a number rounded to 3 decimal places.

Samples:

area_of_polygon_inside_circle(3, 3) # returns 11.691

area_of_polygon_inside_circle(5.8, 7) # returns 92.053

area_of_polygon_inside_circle(4, 5) # returns 38.042

Note: if you need to use Pi in your code, use the native value of your language unless stated otherwise.

Solution:

import math

def area_of_polygon_inside_circle(circle_radius, number_of_sides):
    area = ((circle_radius ** 2 * number_of_sides) / 2) * math.sin((2 * math.pi) / number_of_sides)
    return round(area, 3)

print(area_of_polygon_inside_circle(2, 4)); # returns 8
print(area_of_polygon_inside_circle(2.5, 5)); # returns 14.86