Question
If the radius of a circle is doubled its area is increased by :
Answer: Option C
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Let the original radius be R cm . New radius = 2R
Original area = `piR^2`, New area = ` pi(2R)^2 = 4 pi R^2`
Increase in area = `(4 pi R^2 - pi R^2) = 3 pi R^2`
Increase % = `((3 pi R^2)/(pi R^2) xx 100)`% = 300 %
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