on increasing the diameter of a circle by 75% what will be percentage increasing in the perimeter
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r = d/2
perimeter = 2 x π x d/2 = πd
= d+(75/100) d
=175d/100
r = 175d/200
new perimeter = 2 x π x 175d/200
= 175πd/100
% increase in perimeter
= (175πd/100 - πd) x 100
= 0.75πd x 100
=75πd
i.e 75%
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