Question

the circle has center o, and the measure of angle poq is 60°. the length of minor arc pq is what fraction of the circumference of the circle? (the number of degrees of arc in a circle is 360.) choose 1 answer: a $\frac{1}{8}$ b $\frac{1}{6}$ c $\frac{1}{5}$ d $\frac{1}{4}$

Explanation:

Step1: Recall arc - circumference relation

The ratio of the length of an arc to the circumference of a circle is equal to the ratio of the central - angle of the arc to the total number of degrees in a circle.

Step2: Calculate the fraction

The central angle of arc $PQ$ is $60^{\circ}$, and the total number of degrees in a circle is $360^{\circ}$. The fraction is $\frac{60}{360}=\frac{1}{6}$.

Answer:

B. $\frac{1}{6}$