Question

Find the radius of the given circle with the given central angle and arc length. Round your answer to the nearest tenth.

Answer 1

The arc length, when the central angle is measure in degrees, is given by:

`s=2\pi r((\theta)/(360))`

In this case the arc length is 19.6 cm and the angle is 130°, plugging these values we have that:

`\begin{gathered} 19.6=2\pi r((130)/(360)) \\ r=((19.6)/(2\pi))((360)/(130)) \\ r=8.6 \end{gathered}`

Therefore, the radius is 8.6 cm