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If the radius of a circle is increased by 50 %, what will be the percent increase in the
circumference of the circle? (Circumference 2*pi *r)
If the radius is increased by 50 per cent, then R = r+ r/2 = 3r/2 = 1.5r thus, increase in circumference = 2 pi r = 2 x pi x 1.5 r = 3 pi r. Thus initial c = 2 pi r, final c = 3 pi r. thus increase percent = change in c/ initial c x 100 = 1/2 x 100 = 50 percent. Thus, the circumference will also increase by 50 %
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