A circular swimming pool is surrounded by a concrete wall 4ft wide If the area of the concrete wall ...........

Quantitative Aptitude ( CCS) Mensuration 2D

A circular swimming pool is surrounded by a concrete wall 4ft wide. If the area of the concrete wall surrounding the pool is 11/25 that of the pool, then the radius of the pool is?

10ft

20ft

30ft

40ft

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Explanation:

let the radius of the pool be Rft
Radius of the pool including the wall = (R+4)ft
Area of the concrete wall = π[(R+4)²−R²]
=π[(R+4+R)(R+4−R)] = 8π(R+2) sq feet
=> 8π(R+2) = (11πR²)/25 =>11R² =200(R+2)
Radius of the pool R = 20ft