SOLUTION: which quadrant does 15pi/4 fall in?

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Question 596179: which quadrant does 15pi/4 fall in?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to degrees by multiplying the given angle by 180/pi

((15pi)/4)*(180/pi) = (15pi*180)/(4pi) = (2700pi)/(4pi) = 675


So 15pi/4 radians converts to 675 degrees.


Now subtract 360 from this angle to get: 675 - 360 = 315


Since the result is between 270 and 360 degrees, this means that the original angle is in the fourth quadrant.