calculate circumference from arc length and central angle
Check the final answer first, then review the worked steps.
Problem
calculate circumference from arc length and central angle
Step-by-step solution
The ratio of the arc length to the circumference is equal to the ratio of the central angle to $360^\circ$. Thus, $\frac{15}{C} = \frac{12}{360}$, which simplifies to $\frac{15}{C} = \frac{1}{30}$, so $C = 15 \times 30 = 450$.
Answer
450 \text{ cm}