Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.
-$\mathrm { r } = 1$ meter, $\mathrm { s } = 200$ centimeters
A) 2 radians
B) $\frac { 1 } { 200 }$ radians
C) 200 radians
D) 20 radians

Question

Quizplus · Accepted Answer

The radian measure of a central angle is given by the formula $\theta = \frac{s}{r}$, where $s$ is the arc length and $r$ is the radius of the circle. Given $r = 1$ meter and $s = 200$ centimeters (which is equal to 2 meters), substituting these values into the formula gives $\theta = \frac{2}{1} = 2$ radians.

Find the Radian Measure of the Central Angle of a Circle