Question

the ratio of the diameters of two circles is 3 : 5. the circumference of the larger circle is approximately 113.1 m. what is the approximate circumference of the smaller circle? (options: 7.5 m, 22.6 m, 188.5 m, 67.9 m)

Explanation:

Step1: Relate diameters ratio to circumferences ratio

Since \( C = \pi d \), circumference ratio = diameter ratio = 3:5.

Step2: Calculate smaller circumference

\( C_s = \frac{3}{5} \times C_l = \frac{3}{5} \times 113.1 = 67.86 \approx 67.9 \, \text{m} \)

Answer:

67.9 m