Question

the circumference of ⊙z is 104 cm. what is the length of ⁀xy (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 in degrees and $C$ is the circumference of the circle.

Step2: Identify given values

We are given that $C = 104$ cm and $\theta=45^{\circ}$.

Step3: Substitute values into formula

$s=\frac{45^{\circ}}{360^{\circ}}\times104$.
First, simplify $\frac{45}{360}=\frac{1}{8}$.
Then, $s=\frac{1}{8}\times104 = 13$ cm.

Answer:

B. 13 cm