The hands of a clock read 3:00 p.m. What is the measure of the intercepted arc formed by the clock’s hands?(1 point)

Question

Responses

45°
45°

270°
270°

90°
90°

180°

Answer 1

At 3:00 p.m., the hour hand is pointing at the 3, and the minute hand is pointing at the 12.

To find the measure of the intercepted arc formed by the clock's hands, we calculate the angle between the two:

1. Each hour on the clock represents 30 degrees (360 degrees / 12 hours = 30 degrees per hour).
2. The hour hand at 3 is at 3 * 30 degrees = 90 degrees.
3. The minute hand at 12 is at 0 degrees.

The angle between the hour hand (90 degrees) and the minute hand (0 degrees) is:

90 degrees - 0 degrees = 90 degrees.

Therefore, the measure of the intercepted arc formed by the clock’s hands at 3:00 p.m. is 90°.

So the correct answer is 90°.