Question

I have a trig question about the circle and subtended angles of arcs, pic included

Answer 1

Solution

Given the radius of a circle to be 10 cm

Also, given its central angle to be 2π/5 radians

The length of arc s

$\begin{gathered} s=r\theta \\ \\ \Rightarrow s=10\times\frac{2\pi}{5}=4\pi\text{ cm} \end{gathered}$

The approximate arc length is 12.57 cm (2 decimal places)