Question

What is the angle between the hour and minute hands at 4:30?

• A. 45$^\circ$
• B. 30$^\circ$
• C. 60$^\circ$
• D. 75$^\circ$

Hint:

Use the formula: Angle = $|30H - 5.5M|$, where $H$ is hours and $M$ is minutes, and take the smaller angle.

Answer 1

The Correct Option is A

At 4:30, the minute hand is at 180$^\circ$ (6 on the clock). The hour hand is halfway between 4 and 5, so $4 \times 30 + 15 = 135^\circ$. The angle is $|180^\circ - 135^\circ| = 45^\circ$. Thus, the correct answer is: \[ {45^\circ} \]