Solve the problem.
-Electrical wire is being wound around a drum with radius of 1.49 meters. How much line (to the nearest hundredth of a meter)would be wound around the drum if it is rotated through an angle of
275.3°?
A)7.16 m
B)7.26 m
C)6.96 m
D)7.06 m

Question

Quizplus · Accepted Answer

The length of the line wound around the drum can be found using the formula for the arc length, $s = r\theta$, where $s$ is the arc length, $r$ is the radius, and $\theta$ is the angle in radians. First, convert the angle from degrees to radians: $275.3° \times \frac{\pi}{180°} = 4.804$ radians. Then, calculate the arc length: $s = 1.49 \times 4.804 = 7.15796$ meters, which rounds to $7.16$ meters to the nearest hundredth.

Solve the Problem. -Electrical Wire Is Being Wound Around a Drum with Radius