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
arc?
A. 52.36 inches
B. 75.4 inches
C. 0.1308 inches
D. 3000 inches

Answer:

A

Step-by-step explanation:

Arc length is given by the formula:

[tex]\displaystyle s=2\pi r\frac{\theta}{360^\circ}[/tex]

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:

[tex]\displaystyle s=2\pi (20)\left(\frac{150}{360}\right)[/tex]

Use a calculator:

[tex]\displaystyle s=\frac{50}{3}\pi \approx52.36\text{ inches}[/tex]

Our answer is A.

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ID IP T ES EF LS LF SLK NT NC CT CC CCR
A ‐ 6.0 6.0 13.0 6.0 13.0
B A 4.0 4.0 9.0 3.0 12.0
C B 4.0 4.0 12.0 4.0 12.0
D B 5.0 11.0 5.0 14.0 4.0 16.0
E B 6.0 0.0 6.0 16.0 4.0 19.0
F C,D,E4.0 4.0 19.0 4.0 19.0
G F 6.0 6.0 11.0 5.0 13.5
Note: IP = Immediate Predecessor; T = NT = Normal Time; ES = Earliest Start; EF = Earliest Finish; LS = Latest Start; LF = Latest Finish; SLK = Slack Time; NT = Normal Time; NC = Normal
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