If s denotes the length of the arc of a circle of radius r subtended by a central angle θ, find the missing quantity.
-$\mathrm { r } = 8.8$ inches, $\theta = 60 ^ { \circ } , \mathrm { s } =$ ?
A) $9.5 \mathrm { in }$.
B) $9.2$ in.
C) $9.3 \mathrm { in. }$
D) $9.4 \mathrm { in }$.

Question

Quizplus · Accepted Answer

The length of an arc (s) of a circle with radius (r) subtended by a central angle (θ) in degrees is given by the formula $s = \frac{\theta}{360} \times 2\pi r$. Substituting $r = 8.8$ inches and $\theta = 60^\circ$, we get $s = \frac{60}{360} \times 2\pi \times 8.8 = \frac{1}{6} \times 2\pi \times 8.8 \approx 9.2$ inches.

If S Denotes the Length of the Arc of a Circle