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12-04-2017
Mathematics

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Francisco rides a carousel with a diameter of 30 m. During the ride, the carousel rotates a total of 7000 degrees. What is the distance that Francisco's carriage traveled? Round to two decimal places.

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12-04-2017

360 degrees = 1 full rotation
7000/360 = 19.4444... turns

perimeter or circle = 2[tex] \pi [/tex]r
diameter = 30m
radius =15m

2[tex] \pi [/tex](15) = 94.24777961 per turn

94.24777961 x 19.444... turns = 1832.595714 meters traveled

Rounded = 1832.60 meters

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