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

If the circumference of a circle is increased by 50%, its area will be increased by : Correct Answer 125%

Circumference of a circle increases only with radius. Therefore, radius of the circle gets increased by 50%. Now, new radius = R + 50% of R = 1.5R Initial area =  π R2 New area =  π (1.5R)2 = 2.25 π R2 Percent increase = ((2.25 π R2) - (π R2)} / (π R2)  x 100% = 125%
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