If the radius of a circle be reduced by 50%. Its area is reduced by? Options: A . &nbsp31.5% B . &nbsp34.5% C . &nbsp39.5% D . &nbsp65.5%

If the radius of a circle be reduced by 50%. Its area is reduced by?

Question

If the radius of a circle be reduced by 50%. Its area is reduced by?

Options:

A . 31.5%

B . 34.5%

C . 39.5%

D . 65.5%

Answer: Option B

Original area = ? x (r/2)2 = ?r2/4Reduction in area = ? r2 - 3? r2/4? Reduction per cent = [ 3?r2/4 x 4/(?r2) x 100 ] %= 75%

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