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The radius of circle is increased by 1%. What is the increased percent in its area ?
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- 1%
- 1.1 %
- 2%
- 2.01 %
Correct Option: D
Let radius of circle = 100 m
New radius = 101 m
original area = [π x (100)2 ]m2
New area = [π x (101)2 ]m2
Increase% = [π x {(101)2 - (100)2} / { π x (100)2} ] x 100 %
= 201 / 100% = 2.01%
