Question

the circumference of ⊙c is 72 cm. what is the length of (widehat{ab}) (the minor arc)?

Explanation:

Step1: Recall arc - length formula

The formula for the length of an arc $s$ of a circle is $s=\frac{\theta}{360^{\circ}}\times C$, where $\theta$ is the central - angle of the arc and $C$ is the circumference of the circle.

Step2: Identify values

We are given that $C = 72$ cm and $\theta=45^{\circ}$.

Step3: Calculate arc - length

Substitute the values into the formula: $s=\frac{45^{\circ}}{360^{\circ}}\times72$.
First, simplify $\frac{45}{360}=\frac{1}{8}$.
Then, $\frac{1}{8}\times72 = 9$ cm.

Answer:

F. 9 cm