Question

Convert degrees to radians. Calculate thecorresponding arc length for a circle with a27cm diameter. Round to the nearest tenth.

Answer 1

We will have the following:

First, the angle in radians:

`330\ast(\pi)/(180)=(11\pi)/(6)`

And the arc length:

`\begin{gathered} s=((27)/(2))((11\pi)/(6))\Rightarrow s=(99\pi)/(4) \\ \\ \Rightarrow s\approx77.8 \end{gathered}`

So, the arc length is approximately 77.8 cm.