Question

one circle has a circumference of 12π cm. another circle has a circumference of 32π cm. what is the ratio of the radius of the smaller circle to the radius of the larger circle? options: 1:3, 8:3, 3:8, 3:1 (visualized as rectangular buttons with these ratios)

Explanation:

Step1: Find radius of first circle

$r_1 = \frac{12\pi}{2\pi} = 6$ cm

Step2: Find radius of second circle

$r_2 = \frac{32\pi}{2\pi} = 16$ cm

Step3: Determine ratio (smaller:larger)

$6:16 = 3:8$

Answer:

3:8