Question

Click on image to see question. Could someone please help? Thanks!

Answer 1

Consider that the length of the arc 'C', angle (in radians) of the arc 'Θ', and the radius 'R' are related as,

`\theta=(C)/(R)`

According to the given figure,

`\begin{gathered} C=2\pi \\ R=4 \end{gathered}`

So the corresponding angle can be calculated as,

`\begin{gathered} \theta=(2\pi)/(4) \\ \theta=(\pi)/(2) \\ \theta\approx1.57 \end{gathered}`

Thus, the angle measures π/2 or 1.57 radians.