Problema Solution

What happens to the ratio of the area to the circumference of a circle when the radius is quadrupled?

Answer provided by our tutors

r = the radius of the circle

A = r^2*pi the area of the circle

C = 2r pi the circumference of the circle


A/C = (r^2*pi)/(2r pi) = r/2


the radius is quadrupled: 4r


A/C = 4r/2 = 4(r/2)


the ratio of the area to the circumference of a circle is quadrupled as well.