Question

A circle has a radius of 4 m. Find the length s of the arc intercepted by a central angle of 3pi/4 radians. Do not round any intermediate computations, and round your answer to the nearest tenth.

Answer 1

Given:

`\begin{gathered} r=4m \\ \theta=(3\pi)/(4)radians \end{gathered}`

The length of an arc is given by;

`\begin{gathered} l=r\theta \\ l=4*(3\pi)/(4) \\ l=3\pi \\ l=9.42477796077 \\ \\ To\text{ the nearest tenth,} \\ l\approx9.4m \end{gathered}`

Therefore, to the nearest tenth, the length of the arc is 9.4m