RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 50 of Exercise 18B

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A chord of a circle of radius 10 cm subtends a right angle at the centre. Find the area of the minor segment. [Use π = 3.14.]

Given the radius of the circle = 42 cm


Central angle of the sector = θ = 90°


Area of the minor segment = Area of sector – area of the right angle triangle







Area of the sector = 25×3.14


Area of the sector = 78.5 cm2 eqn1




Area of triangle = 50 cm2 eqn2


Area of the minor segment = 78.5 – 50 (from eqn1, eqn2)


Area of the minor segment = 28.5 cm2


Area of the minor segment is 28.5 cm2.


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