Question

Electrical wire is being wound around a drum with a radius of 1.1 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 315.7 degrees?

Answer 1

6.81m

Explanation:

Using the formula for finding the length of am arc

L = theta/360° × 2πr

theta is the angle subtended by the drum in rotation

r is the radius of the drum

Given theta = 315.7°

r = 1.1m

Substituting the given values into the formula we have:

L = 315.7/360 × 2π(1.1)

L = 315.7/360 × 2.2π

L = 315.7/360 × 2.2(3.14)

L = 315.7/360 × 6.91

L = 6.81metres

Line of about 6.81metres will be wounded around the drum