Question

If the radius of a circle is increased by 5% then its radius is increased by?
a) 10%
b) 10.25%
c) 12.25%
d) 15.25%

Answer 1

Answer:

Given,

Let the radius of circle be r.

New Radius of circle = r + r × 5/100 = 105 r/100

⇒ Area of circle = πr2

New area of circle = π(105 r/100)2 = 1.1025 πr2

Percentage increase in area = [(1.1025 πr2 - πr2)/πr2] × 100 = 10.25

∴ Increase in the area is 10.25%.

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