Determine the quadrant an angle is in with degrees and minutes

👉 Learn how to determine the quadrant of an angle given in radians. Recall that 1 radian is the distance on the circumference of the circle that is equivalent to the radius of the circle. Also, recall that the circumference of a circle is equivalent to 2pi radians. To determine the quadrant of the angle in radians written in terms of pi, we divide the top half and the bottom half of the circumference of the circle into the number of parts corresponding to the denominator of the radian angle. Then we count from the positive x-axis in an anti-clockwise direction for positive angles and in the clockwise direction for negative angles the number of parts corresponding to the coefficient of pi in the numerator. The quadrant where the number of parts corresponds to the coefficient of the pi in the numerator of radian angle is the required quadrant.