Question

In circle H with mZGHJ = 78 and GH Round to the nearest hundredth. 9 units, find the length of arc GJ. J

Answer 1

The length of arc is given by:

`\begin{gathered} l=r\theta \\ where\colon \\ \theta=angle_{\text{ }}(in_{\text{ }}radians) \\ r=radius \end{gathered}`

therefore:

`\begin{gathered} \theta=78=(13)/(30)\pi \\ r=9 \\ l=9\cdot(13)/(30)\pi \\ l\approx12.25 \end{gathered}`