Question

Find the smaller angle between the hands of a clock for the time shown in the figure.

• A. 40${}^{\circ }$
• B. 30${}^{\circ }$
• C. 35${}^{\circ }$
• D. 45${}^{\circ }$

Answer 1

The correct option is D

45${}^{\circ }$

There are 12 hours on a clock. When the hour hand completes one revolution (to complete one circle) it covers 360 degrees. Therefore to move from 12 o’clock to 1 o’clock it travels 360/12 = 30

Also, since the hour hand is in between 4 and 5 on the clock, there's an additional ${15}^{\circ }$ between the hands. Hence, the angle between the hands is ${45}^{\circ }$.