RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 18. Area of Circle, Sector and Segment

Subject: Maths - Class 10th

Q. No. 22 of Exercise 18A

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22

The area of the sector of a circle of radius 10.5 cm is 69.3 cm2. Find the central angle of the sector.

Given:

Radius of the circle = 10.5 cm


Area of the sector = 69.3 cm2


Area of the sector = × πr2


69.3 = × × 10.5 × 10.5


θ = 69.3 × 360 × × ×


θ = 72°


Hence, the central angle is 72°.


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