Answered: Kiley’s in-line skate wheels have a…

Kiley’s in-line skate wheels have a 43-mm diameter. How many meters will Kiley travel after 5000 revolutions of the wheels on her in-line skates? Round your answer to the nearest meter.

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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Question

Kiley’s in-line skate wheels have a 43-mm diameter. How many meters will Kiley travel after 5000 revolutions of the wheels on her in-line skates? Round your answer to the nearest meter.

Expert Solution

Step 1

$s o l u t i o n : - d i a m e t e r o f w h e e l, d = 43 m m r a d i u s o f w h e e l = \frac{d}{2} o n e r e v o l u t i o n = 2 π distance travelled in one revolution = circumference of wheel = 2 π \times \frac{d}{2} = 2 π \times \frac{43 mm}{2} = 43 π mm$

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