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 %