calculate arc length given radius and central angle
Check the final answer first, then review the worked steps.
Problem
calculate arc length given radius and central angle
Step-by-step solution
The radius $r = 12$ cm and the central angle $\theta = 90^\circ$. The arc length is $s = \frac{\theta}{360} \cdot 2\pi r = \frac{90}{360} \cdot 2 \cdot \pi \cdot 12 = \frac{1}{4} \cdot 24\pi = 6\pi \approx 18.85$ cm.
Answer
18.8 \text{ cm}