SOLUTION: A railroad toy is laid out in circular form. What diameter should be used if the track is to change direction by 60° in a distance of 30 cm?

Algebra ->  Trigonometry-basics -> SOLUTION: A railroad toy is laid out in circular form. What diameter should be used if the track is to change direction by 60° in a distance of 30 cm?      Log On


   



Question 933556: A railroad toy is laid out in circular form. What diameter should be used if the track is to change direction by 60° in a distance of 30 cm?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A railroad toy is laid out in circular form. What diameter should be used if the track is to change direction by 60° in a distance of 30 cm?
-------
The entire angle around the track is 6*60 degrees = 360 degrees
------
Therefore the entire distance around the track is 6*30 = 180 cm
------
Perimeter = pi*(diameter)
180 = pi*diameter
----
diameter = 180/pi is approximately 57.3 cm
-------------
Cheers,
Stan H.
-------------