Use the arc length formula and the given information to find the indicated quantity.
-$\mathrm { s } = 10 \mathrm {~m} , \mathrm { r } = 7 \mathrm {~m}$; find $\theta$
A) $140 \mathrm { rad }$
B) $\frac { 10 } { 7 } \mathrm { rad }$
C) $70 \mathrm { rad }$
D) $\frac { 7 } { 10 } \mathrm { rad }$

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 angle in radians. Given $s = 10$ m and $r = 7$ m, solving for $\theta$ gives $\theta = \frac{s}{r} = \frac{10}{7}$ radians.

Use the Arc Length Formula and the Given Information to Find