Question

question 2 of 10 which best describes how to find the length of an arc in a circle? a. divide the arcs degree measure by 360°, then multiply by the diameter of the circle. b. multiply the arcs degree measure by 360°, then divide by the circumference of the circle. c. divide the arcs degree measure by 360°, then multiply by the circumference of the circle. d. multiply the arcs degree measure by 360°, then divide by the diameter of the circle.

Explanation:

Step1: Recall arc - length concept

The arc - length is a fraction of the circle's circumference.

Step2: Determine the fraction

The fraction of the circle that the arc represents is given by $\frac{\text{arc degree measure}}{360^{\circ}}$.

Step3: Calculate arc - length

Multiply this fraction by the circumference $C$ of the circle. So, $s=\frac{\theta}{360^{\circ}}\times C$, where $s$ is the arc - length and $\theta$ is the arc's degree measure.

Answer:

C. Divide the arc's degree measure by 360°, then multiply by the circumference of the circle.