SSC CPO SI and ASI 2015 Paper

Question : 113 of 199

Marks: +1, -0

If the radius of a circle is increased by 6%, then its area increases by

Solution:

(3) Area of circle

=\ {πr}^{2}

Area of circle after increasing radius by

6 \%=\π(1.06 \ {r})^{2}

Increased area

=\π r^{2}\ (1.06^{2}-1\ )=

0.1236

\ {πr}^{2}

Percentage increase

=0.1236 ×

100=12.36 \%

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