A light truck with manual transmission has a circular brake drum with a diameter of d = 310 millimeters. Each brake pad, which presses against the drum, is s = 323 millimeters long. What central angle is subtended by one of the brake pads? Write your answer in both radians and degrees. ? =______ (Round the answer to two decimal places.) ? =_______  ° (Round the answer to the nearest whole number.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 67E
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A light truck with manual transmission has a circular brake drum with a diameter of d = 310 millimeters. Each brake pad, which presses against the drum, is s = 323 millimeters long. What central angle is subtended by one of the brake pads? Write your answer in both radians and degrees.

? =______ (Round the answer to two decimal places.)

? =_______  ° (Round the answer to the nearest whole number.)

Expert Solution
Step 1:

The perimeter of the arc subtending an angle θ is, P = 2πr×θ360°.

we have been given r and p and we need to find value of θ.

 

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