If the radius of a circle is increased by 7.36%, then by how the area will be increased?
(A)
13.58
(B)
14.97
(C)
15.26
(D)
22.75
Answer: (C)
Explanation:
New Area of the Circle = Pi * (R + 7.36% of R)^2 = Pi * (R + 0.0736R)^2 = Pi * (1.0736R)^2 = Pi * R^2 * (1.0736)^2. Therefore, percentage increase in Area = [ Pi * R^2 * (1.0736)^2 – Pi * R^2 ]/ (Pi * R^2) = 1.0736^2 – 1 = 0.15261696 = 15.26%
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