Problema Solution

The ratio of the radii of two circles is 9:16. What is the ratio of their circumferences

Answer provided by our tutors

Let

R1 = 9x

R2 = 16x

are the radii of the circles.

The circumference of the circle with radii R1 is 2R1pi = 2*9x*pi = 18xpi.

The circumference of the circle with radii R2 is 2R2pi = 2*16x*pi = 32xpi.

The ratio of the circumferences is:

18xpi : 32xpi = 18 : 32 = 9 : 16.