Question

One circle has a circumference of 12pi cm. Another circle has circumference of 32pi cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle?
A. 3:8
B. 8:3
C. 1:3
D. 3.1

Answer 1

Answer:

A. 3:8

Step-by-step explanation:

Circumference of smaller circle = 12π cm

Circumference of larger circle = 32π cm

Formula for circumference = 2πr

✔️Radius (r) of smaller circle:

12 π = 2πr

Divide both sides by 2π

12π/2π = (2πr)/2π

6 = r

r = 6 cm

✔️Radius (r) of larger circle:

32 π = 2πr

Divide both sides by 2π

32π/2π = (2πr)/2π

16 = r

r = 16 cm

✔️Ratio of radius of smaller circle to the radius of leather circle:

6:16

Simplify

3:8