Question

In the figure above, circle $O$ has a radius of $8$, and angle $XOY$ measures $\frac{5}{16}\pi$ radians. Find the measure of minor arc $XY$.

• A. $\frac{5}{16}\pi$
• B. $\frac{5}{2}\pi$
• C. $5\pi$
• D. $16\pi$

Answer 1

Answer: (B)

$\frac{5}{2}\pi$

Measure of an arc is given by $r\theta$, where $r$ is the radius of the circle and $\theta$ is the angle made by the arc.

Here the measure of the minor arc $XY$ thus becomes $8\times \frac{5\pi }{16}=\frac{5\pi }{2}$.