Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.
-$\mathrm { r } = 7$ inches, $\mathrm { s } = 49$ inches
A) 7 radians
B) $\frac { 1 } { 7 }$ radians
C) $- 7$ radians
D) $7 ^ { \circ }$

Question

Quizplus · Accepted Answer

The radian measure of a central angle ($\theta$) is given by the formula $\theta = \frac{s}{r}$, where $s$ is the arc length and $r$ is the radius of the circle. Substituting $s = 49$ inches and $r = 7$ inches, we get $\theta = \frac{49}{7} = 7$ radians.

Find the Radian Measure of the Central Angle of a Circle