Question

hentIf TR = 11 ft, find the length of PS.IfР P.TentR16d ArcsSnd ArcsRound to 2 decimal places.and Arcs

Answer 1

SOLUTION

This is a length of arc problem.

The formula for finding the length of an arc is:

$\frac{\theta}{360}\times2\pi r$

r=TR=PT=11ft

$\begin{gathered} \frac{\theta}{360}\times2\pi r \\ r=11ft \\ \theta=164^o \end{gathered}$$\begin{gathered} \frac{164}{360}\times2\pi(11) \\ =\frac{164}{360}\times2\times3.14\times11 \\ =31.4698ft \\ =31.47ft(to\text{ 2 decimal places)} \end{gathered}$

The final answer is 31.47ft.