Reasoning

Clock Angle

Calculate the smaller angle between clock hands.

Angle = |30H - 5.5M| degrees

Formula Explanation

This expression gives the absolute angular difference; choose the smaller angle if the result exceeds 180°.

H = Hour on the clock; M = Minutes past the hour.

Find the smaller angle at 3:00.

Angle = |30×3 - 5.5×0| = 90°.

For the smaller angle, use min(angle, 360° - angle).