Question

Convert the radian measure to degreemeasure. Then, calculate the arc length thatcorresponds to a circle with a 35-centimeterdiameter. Round your answer to the nearesttenth.

Answer 1

We will have the following:

First,:

`(4\pi)/(15)=(4\pi)/(15)\ast(180)/(\pi)=48`

Then, the arc length will be:

`\begin{gathered} s=((15)/(2))((4\pi)/(15))\Rightarrow s=2\pi \\ \\ \Rightarrow s\approx6.3 \end{gathered}`

So, the arc length is approximately 6.3 cm.