The radius of a circle is increased by 1%. If the original value of radius is 10, the percentage increase in the area of circle is?
- 1.15%
- 3.07%
- 2.01%
- None of these
Explanation
New Radius = 10 + 1% of 10 = 10 + 0.1 = 10.1
Old Area = pi _ 10 _ 10 = 100 pi
New Area = pi _ 10.1 _ 10.1 = 102.01 pi
Increase = 102.01 pi - 100 pi = 2.01 pi
Percentage Increase = (Increase / Old Area) _ 100
= (2.01 pi / 100 pi) _ 100
= 2.01%
Last verified on 20-10-2026
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