QA – Placement Quizzes | Mensuration 2D | Question 10

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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