What is the radian measure of the angle 945? (show work)

Question

Draw a mini unit circle showing the location of this angle.

Answer 1

Do you mean 945 degrees? If so, then remember that a circle is 360 degrees, meaning that you can subtract multliples of 360 from the given angle. In this case, subtract 720 from 945 to get 235 degrees. On the typical unit circle, this is in the bottom left quadrant, 55 degrees CW from the botton

(Or---if you prefer---125 degrees CCW from the top.

To convert to radians, remember that pi radians is 180 degrees......in other words, radians is degrees * pi / 180.