If the circumference of a circle is increased by 50%, then its area will be incr

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Question

If the circumference of a circle is increased by 50%, then its area will be increased by?

Options:

A . 125%

B . 225%

C . 100%

D . 50%

Answer: Option A

Original circumference = 2?r New circumference = (150 /100) x 2 ?r = 3?r 2?R = 3?r? R = 3r/2 Original area = ?r2New area = ?R2= ?9r2 / 4 = 9?r2/4Increase in area = (9?r2/4 ) - (?r2)= (5/4) ?r2Req. increase per cent = [{(5/4) ?r2} / {?r2}] x 100 = 125 %

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