Use the arc length formula and the given information to find the indicated quantity.
-$\mathrm { s } = 3.4 \mathrm { ft } , \theta = \frac { \pi } { 3 } \mathrm { rad } ;$ find $\mathrm { r }$
A) $\frac { \pi } { 10.2 } \mathrm { ft }$
B) $20.4 \pi \mathrm { ft }$
C) $\frac { 10.2 } { \pi } \mathrm { ft }$
D) $10.2 \pi \mathrm { ft }$

Question

Quizplus · Accepted Answer

The arc length formula is $s = r\theta$, where $s$ is the arc length, $r$ is the radius, and $\theta$ is the central angle in radians. Rearranging the formula to solve for $r$, we get $r = \frac{s}{\theta}$. Substituting the given values, $r = \frac{3.4}{\pi/3} = \frac{3.4 \cdot 3}{\pi} = \frac{10.2}{\pi} \mathrm{ft}$.

Use the Arc Length Formula and the Given Information to Find