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

Answer: a. 6.7 cm