Question

Determine the arc length.Leave your answer as an exact value.

Answer 1

SOLUTION

Write out the given information.

$\begin{gathered} \text{radius,r}=10\operatorname{cm} \\ \theta=4\pi\text{rad} \end{gathered}$

The length of arc with radius and angle in radians is given by

$\begin{gathered} length\text{ of an arc=}\theta\times r \\ \text{Where }\theta\text{ is the angle in rads} \end{gathered}$

Substituting this value into the formula, we have:

$\text{Length of an arc=4}\pi\times10=40\pi$

Therefore, the length of arc is 40π rad

Answer:40π rad.