Given:Angle of the sector = 56°Area of the sector = 17.6 cm2Let the radius of the circle be ‘r’.∵ Area of sector = × πr2∴ 17.6 = × × r2r2 = × × 17.6r2 = 36r = √36r = 6 cmHence, the radius of the circle is 6 cm.

Q. 215.0( 2 Votes )

A sector of 56°,

Class 10th RS Aggarwal - Mathematics 18. Area of Circle, Sector and Segment

Answer :

Given:

Angle of the sector = 56°

Area of the sector = 17.6 cm²

Let the radius of the circle be ‘r’.

∵ Area of sector = × πr²

∴ 17.6 = × × r²

r² = × × 17.6

r² = 36

r = √36

r = 6 cm

Hence, the radius of the circle is 6 cm.

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