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The restaurant in the Space Needle in Seattle rotates at the rate of one revolution per hour. (Round your answers to two decimal places.)

BHow long does it take the restaurant to rotate through 8 radians?
CHow far does a person sitting by the window move in 140 minutes if the radius of the restaurant is 21 meters?

Verified Answer :

A130 mins = 2 hours 10 mins or 2 and 1/6 hours... so 2 and 1/6 revolution. and 1 revolution is equal to 2pi radians 
ANSWER: 13/6 (2 and 1/6) 2pi = 13.6 radians 

b) 8/13.6 = x/(13/6) so x = 0.2715 hours or 16 and 1/3 minutes 

c) if the restaurant is 21 meters, the radius is 10.5 meters, and the circumference is 2pi*r so circumference = 65.97 meters. 

2 and 1/6 revolution is going around the circumference 2 and 1/6 times, so simply multiply 65.97 by 13/6 

ANSWER: about 143 meters

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