Area of the minor segment = Area of the sector OACB - Area of the ΔAOB
Area of a Major Segment
Area of a major segment = Area of circle - Area of minor segment
Formula for finding the area of a segment of a circle
Draw a circle of radius 'r'. Let the chord AB cut the circle into two segments. We want to find the area of the minor segment (Coloured portion). Join O to A, O to B.
Let ∠AOB = θ. We get a sector; part of it is the segment whose area is to be found.
Area of the sector OACB = area of segment ACB + area of ΔAOB.
Area of segment ACB = Area of sector OACB - Area of ΔAOB.
