Question

question 9 of 10
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 in degrees and $C$ is the circumference of the circle.

Step2: Identify values

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

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:

E. 9 cm