Find the length of an arc intercepted by a central angle θin a circle of radius r. Round your answer to 1 decimal place.
-$\mathrm { r } = 45.99 \mathrm { ft } ; \theta = \frac { \pi } { 30 }$ radians
A) $14.4 \mathrm { ft }$
B) $4.8 \mathrm { ft }$
C) $2.4 \mathrm { ft }$
D) $9.6 \mathrm { ft }$

Question

Quizplus · Accepted Answer

The length of an arc ($s$) intercepted by a central angle ($\theta$) in a circle of radius ($r$) is given by the formula $s = r\theta$. Here, $r = 45.99 \, \text{ft}$ and $\theta = \frac{\pi}{30}$ radians. Plugging these values into the formula gives $s = 45.99 \times \frac{\pi}{30} \approx 4.8 \, \text{ft}$.

Find the Length of an Arc Intercepted by a Central r=45.99ft;θ=π30\mathrm { r } = 45.99 \mathrm { ft } ; \theta = \frac { \pi } { 30 }r=45.99ft;θ=30π​

Find the Length of an Arc Intercepted by a Central $\mathrm { r } = 45.99 \mathrm { ft } ; \theta = \frac { \pi } { 30 }$