Step 1: Determine the fraction of the circle represented by the minor sector. The circle is divided into two sectors in the ratio 3:7. The total number of parts is $3 + 7 = 10$. The minor sector corresponds to the smaller ratio, which is 3. So, the minor sector represents $\frac{3}{10}$ of the entire circle. Step 2: Calculate the angle of the minor sector in radians. A full circle is $2\pi$ radians. The angle $\theta$ of the minor sector is: $$\theta = \frac{3}{10} \times 2\pi$$ $$\theta = \frac{6\pi}{10}$$ $$\theta = \frac{3\pi}{5} \text{ radians}$$ Step 3: Calculate the length of the minor arc. The formula for the arc length $L$ of a sector is $L = r\theta$, where $r$ is the radius and $\theta$ is the angle in radians. Given radius $r = 7$ cm. Substitute the values: $$L = 7 \times \frac{3\pi}{5}$$ $$L = \frac{21\pi}{5}$$ Using $\pi \approx 3.14159$: $$L \approx \frac{21 \times 3.14159}{5}$$ $$L \approx \frac{65.97339}{5}$$ $$L \approx 13.194678 \text{ cm}$$ Step 4: Round the answer and select the correct option. Rounding to two decimal places, $L \approx 13.19$ cm. Comparing this to the given options: A) 18.85cm B) 13.20cm C) 12.30cm D) 11.30cm The closest option is B) 13.20cm. The length of the minor arc is $\boxed{\text{B) 13.20cm}}$. 3 done, 2 left today. You're making progress.