Question

Find the smaller angle made between the hour and minute hands of a clock when the time is 1:00 AM.

• A. ${20}^{\circ }$
• B. ${25}^{\circ }$
• C. ${17}^{\circ }$
• D. ${30}^{\circ }$

Answer 1

The correct option is D

${30}^{\circ }$

When the hour hand of a clock completes one revolution or completes one full circle, it covers 360 degrees.

$\therefore$ To move from 12 to 1, the hour hand has to cover $\frac{{360}^{\circ }}{12}={30}^{\circ }.$

$\therefore$ The smaller angle made between the hour and the minute hand of a clock that reads 01:00 AM is ${30}^{\circ }.$