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.

Respuesta :

Solution:

Given:

[tex]\begin{gathered} r=4m \\ \theta=\frac{3\pi}{4}radians \end{gathered}[/tex]

The length of an arc is given by;

[tex]\begin{gathered} l=r\theta \\ l=4\times\frac{3\pi}{4} \\ l=3\pi \\ l=9.42477796077 \\ \\ To\text{ the nearest tenth,} \\ l\approx9.4m \end{gathered}[/tex]

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