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:

$330\ast\frac{\pi}{180}=\frac{11\pi}{6}$

And the arc length:

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

So, the arc length is approximately 77.8 cm.