Question

ASAP PLEASE! A windshield wiper blade turns through an angle of 135 degrees. The bottom of the blade traces an arc with a 9-inch radius. The top of the blade traces an arc with a 23-inch radius. To the nearest inch, how much longer is the top arc than the bottom arc? HELP

Answer 1

33 inches to the nearest inch.

Explanation:

Length of an arc = rC where r = the radius and C is the angle through which it turns in radians.

So for the 23 inch radius: length = 23 * 135 * π / 180

and for the 9 inch radius: length = 9 * 135 * π / 180

The difference = 23 * 135 * π / 180 - 9 * 135 * π / 180

= 14 * 135 * π / 180

= 32.99 inches.