Question

What is the number of degrees in the smaller angle formed by the hands of a clock at 6:10?

a) 35 degrees
b) 40 degrees
c) 45 degrees
d) 50 degrees

Answer 1

The smaller angle formed by the hands of a clock at 6:10 is 5 degrees.

Step-by-step explanation:

The smaller angle formed by the hands of a clock at 6:10 can be calculated by finding the difference between the positions of the hour and minute hands.

At 6:10, the minute hand is pointing at the 2 and the hour hand is pointing slightly past the 6. The hour hand moves 30 degrees per hour, so in 10 minutes it would have moved 5 degrees (30 degrees / 60 minutes x 10 minutes = 5 degrees). Therefore, the smaller angle formed by the clock hands at 6:10 is 5 degrees.