The circumference of a circle is 72 cm. What is the length of the minor arc AB?
Check the final answer first, then review the worked steps.
Problem
The circumference of a circle is 72 cm. What is the length of the minor arc AB?
Step-by-step solution
The arc length is a fraction of the circumference, determined by the central angle. The fraction is $\frac{45^\circ}{360^\circ} = \frac{1}{8}$. So, the arc length is $\frac{1}{8} \times 72 \text{ cm} = 9 \text{ cm}$.
Answer
9 cm