Question

The center of the circle below is at P. If the angle < APB measures 48 °, and the radius is 8 cm., find the length of the arc AB in cm.. (round to the nearest tenth)

Answer 1

The length of the arc AB is given by:

$\begin{gathered} arcAB=2\pi\cdot\frac{(\angle APB)}{360\degree}\cdot r \\ arcAB=2\pi\cdot\frac{48\degree}{360\degree}\cdot8 \\ arcAB\approx6.7\text{ cm} \end{gathered}$

Answer: a. 6.7 cm