Find the length of the arc on a circle of radius r intercepted by a central angle θ. Round answer to two decimal
places.
-The minute hand of a clock is 4 inches long. How far does the tip of the minute hand move in 35 minutes? If necessary, round the answer to two decimal places.
A) $14.66$ inches
B) $17.17$ inches
C) $15.89$ inches
D) $12.92$ inches

Question

Quizplus · Accepted Answer

The length of the arc $s$ can be found using the formula $s = r\theta$, where $r$ is the radius and $\theta$ is the central angle in radians. In 35 minutes, the minute hand covers $35/60$ of a full circle, or $35/60 \times 2\pi$ radians. Substituting $r = 4$ inches and $\theta = (35/60) \times 2\pi$, we get $s = 4 \times (35/60) \times 2\pi \approx 14.66$ inches.

Find the Length of the Arc on a Circle of Radius