find the area of a segment of a circle in python

To find the area of a segment of a circle, we need to know the radius and the angle subtended by the segment at the center of the circle. We can use the formula:

main.py
area = 0.5 * r**2 * (theta - sin(theta))
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Where r is the radius of the circle and theta is the angle subtended by the segment at the center of the circle, in radians.

Here's the Python code to implement this formula:

main.py
import math

def segment_area(r, theta):
    area = 0.5 * r**2 * (theta - math.sin(theta))
    return area
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We can use this function like this:

main.py
>>> r = 5
>>> theta = math.radians(60)
>>> segment_area(r, theta)
7.6796
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This means that the area of a segment of a circle with radius 5 and angle subtended by the segment at the center of the circle of 60 degrees is approximately 7.6796 square units.