Question

find the ratios what is the ratio of the circumference of the larger circle to the circumference of the smaller circle? image: two circles (pink with radius 3, blue with radius 2) and two answer options: \\(\frac{3}{2}\\) and \\(\frac{4\pi}{9\pi}\\)

Explanation:

Step1: Identify diameters

Larger circle diameter \( d_1 = 3 \), smaller \( d_2 = 2 \)

Step2: Calculate circumferences

\( C_1 = \pi d_1 = 3\pi \), \( C_2 = \pi d_2 = 2\pi \)

Step3: Find ratio

\( \frac{C_1}{C_2} = \frac{3\pi}{2\pi} = \frac{3}{2} \)

Answer:

\(\frac{3}{2}\)