If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity.
-$\mathrm { s } = 4.84$ meters, $\theta = 2.2$ radians, $\mathrm { r } =$ ?
A) $1.1 \mathrm {~m}$
B) $2.2 \mathrm {~m}$
C) $1.5 \mathrm {~m}$
D) $0.45 \mathrm {~m}$

Question

Quizplus · Accepted Answer

The formula for the length of an arc $s$ of a circle with radius $r$ subtended by a central angle $\theta$ (in radians) is $s = r\theta$. Rearranging for $r$, we get $r = \frac{s}{\theta}$. Substituting $s = 4.84$ meters and $\theta = 2.2$ radians, we find $r = \frac{4.84}{2.2} = 2.2$ meters.

If S Denotes the Length of the Arc of a Circle