Calculating the segment area of a circle

Areas of Circles and Circle Segments | Maths Made Easy
circular segment area

The formula to calculate the segment area of a circle:

given radius -> radius of circle
given angle -> angle spanned by circle segment

unusedSegmentAngle = PI * 2 - angle;
segmentArea =
    (radius ^ 2)
  * (PI - 0.5 * (unusedSegmentAngle - Sin(unusedSegmentAngle)))

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