Question

Circle O shown below has an are of length 47 inches subtended by an angle of 102°.Find the length of the radius, x, to the nearest tenth of an inch.

Answer 1

We will have the following:

`\begin{gathered} 47=(102)/(360)\ast2\pi(x)\Rightarrow\pi(x)=(1410)/(17) \\ \\ \Rightarrow x=(1410)/(17\pi)\Rightarrow x\approx26.4 \end{gathered}`

So, the radius is approximately 26.4 inches.