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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. 1.15%
  2. 3.07%
  3. 2.01%
  4. 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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