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Question -

The perimeter of a sector of a circle of radius 5.7 m is 27.2 m. Find the area of the sector.



Answer -

Radius of the circle (r) = 5.7 m
Perimeter of the sector = 27.2 m
Length of the arc = Perimeter – 2r
= (27.2 – 2 x 5.7) m
= 27.2 – 11.4 = 15.8 m
Let θ be the central angle, then

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