Question

A windshield wiper turns through an angle of 150°. The top of the blade traces the are with a 20-inch radius. How long is the

Answer 1

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

$\displaystyle s=2\pi r\frac{\theta}{360^\circ}$

Where r is the radius and θ is the central angle, in degrees.

The windshield wiper has a radius of 20 inches and a central angle of 150°. Hence:

$\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)$

Use a calculator:

$\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}$

Our answer is A.