Question

if the radius of the circle diminished by 20 % then its perimeter will be
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Answer 1

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QUESTION:-

if the radius of the circle diminished by 20 % then its perimeter will be

ANSWER :-

Let the radius of original circle =r

∴ Area of original circle =πr

2

But, the radius of the circle is increased by 20%

∴ Radius of new circle R=

100

20r

+r=1.2r

Area of new circle =πR

2

=π(1.2r)

2

=1.44πr

2

Increased area =1.44πr

2 −πr 2

=0.44πr

2

Percentage increase in area

= 2πr

0.44πr

2 ×100=44%

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