Question

Is an angle measured clockwise or counterclockwise in the polar coordinate system?

Answer 1

The positive direction is counterclockwise.

The quadrant numbering increases in the counterclockwise direction, so too, do the measures of angles.

Start on the `x` axis. Moving into quadrant I, then II , III, then IV, is moving in the positive direction. (Of course the quadrant are only numbered up to IV.)