Draw the angle given in degrees on the unit circle where 0 radians corresponds to the positive portion of the horizontal axis: - 16pi/7

Note that π radians = 180°.

Therefore

- (16π) / 7 radians = - (16π) / 7 * (180/π) degrees

= - 155.5°

Because angles are measured from the x-axis counterclockwise, the given angle is

360 - 155.5 = 204.5°

The angle is drawn on a unit circle and shown in the figure below.

The angle of 204.5° is in quadrant 3.

The four quadrants are labelled as Q1, Q2, Q3 and Q4.