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:

$\begin{gathered} \theta=78=\frac{13}{30}\pi \\ r=9 \\ l=9\cdot\frac{13}{30}\pi \\ l\approx12.25 \end{gathered}$