SOLUTION: A car entered a roundabout, traveled 280 feet, then turned onto Perry street. The roundabout has a diameter of 150 ft, find the Angle the angle of rotation to nearest degree the ca

Algebra ->  Circles -> SOLUTION: A car entered a roundabout, traveled 280 feet, then turned onto Perry street. The roundabout has a diameter of 150 ft, find the Angle the angle of rotation to nearest degree the ca      Log On


   

Question 1178144: A car entered a roundabout, traveled 280 feet, then turned onto Perry street. The roundabout has a diameter of 150 ft, find the Angle the angle of rotation to nearest degree the car traveled.

Found 2 solutions by mananth, Alan3354:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
The car has taken a circular path with diameter 150 ft.
Length of arc = 280 ft
l(arc) = (%28Theta%29/360) * pi * 150
(280*360)/(3.14 *150)=%28Theta%29
theta = 214 deg

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A car entered a roundabout, traveled 280 feet, then turned onto Perry street. The roundabout has a diameter of 150 ft, find the Angle the angle of rotation to nearest degree the car traveled.
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r = 75
Angle = 280/75 radians
1 radian = 180/pi degrees