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6 votes
6 votes
At 3:20, what is the measure in degrees of the angle between the the minute and hour hand?

User Rasmus Faber
by
2.6k points

1 Answer

8 votes
8 votes

Step-by-step explanation:

The clock is circular. The sum of angles in a circle = 360 degrees

So we need to find the degrees for each hour

12 hours for the 360 degrees

1 hour = 360/12

1 hour = 30 degree

This means each hour represents 30 degree

3: 20 = 3 hours + 20 minutes

For the 20 minutes, we convert to hour

60 minutes = 1 hour

20 minutes = 20/60

20 minutes = 1/3 hour

We convert 1/3 hour to degree by multiplying by 30 degrees

1/3 hour = 1/3 ×30°

1/3 hour = 10°

User Ricardo Pontual
by
2.5k points
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