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The speedometer needle in a car is 2.5 inches long. When accelerating from 0 to 60 miles per hour the needle sweeps out an arc of 130°. What is the arc length traveled by the needle, in inches? Round your answer to the nearest hundredth. Use 3.14 for T. Type your answer.

The speedometer needle in a car is 2.5 inches long. When accelerating from 0 to 60 miles per hour the needle sweeps out an arc of 130°. What is the arc length traveled by the needle, in inches? Round your answer to the nearest hundredth. Use 3.14 for T. Type your answer.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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The speedometer needle in a car is 2.5 inches long. When accelerating from 0 to 60 miles per hour the needle sweeps out an arc of 130°. What is the arc length traveled by the needle, in inches? Round your answer to the nearest hundredth. Use 3.14 for T. Type your answer..
Transcribed Image Text:The speedometer needle in a car is 2.5 inches long. When accelerating from 0 to 60 miles per hour the needle sweeps out an arc of 130°. What is the arc length traveled by the needle, in inches? Round your answer to the nearest hundredth. Use 3.14 for T. Type your answer..
Expert Solution
Step 1

From formula

Arc length = angle(in radian)*radius

L = θ*r   ....(1)

Angle θ is given ,θ = 130 degree, converting degree into radian by multilying (π/180)                                                  θ = 130*(π/180)                       

θ = 130*(3.14/180)

θ = 130*(0.0174)

θ = 2.26 radian

Radius r is the length of needle , r = 2.5 inch

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