Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round answer to two decimal
places.
-$\mathrm { r } = 45$ inches, $\theta = 35 ^ { \circ }$
A) $27.49$ inches
B) $29.92$ inches
C) $28.78$ inches
D) $25.64$ inches

Question

Quizplus · Accepted Answer

The length of the arc ($l$) on a circle can be calculated using the formula $l = r\theta$ where $r$ is the radius and $\theta$ is the central angle in radians. First, convert $\theta$ from degrees to radians: $\theta = 35^\circ \times \frac{\pi}{180^\circ} = \frac{35\pi}{180}$. Then, calculate the arc length: $l = 45 \times \frac{35\pi}{180} \approx 27.49$ inches.

Find the Length of the Arc on a Circle of Radius