Question

what is the angle between minute and hour hand at 12:20?​

Answer 1

Answer:

At 12:20,the minute hand has moved 20 out of 60 possible times from the top of the clock. 20 times 6 degrees is 120 degrees. The angle from the minute hand to the hour hand is simply 360 degrees from the hour hand to minute hand that we calculated above 360 - 110 = 250 degrees.

Answer 2

The angle between the minute and hour hand at $12:20$ is $110$ degrees and $250$ degrees.

Step-by-step explanation:

• Before proceeding, a clock has a circular shape with $360$ degrees.

• There are $60$ minutes in an hour and $360$degrees divided by
• Therefore, the moving is 6 degrees per minute.

• It takes $720$ minutes to an hour hand to move around the clock.

• $360$ degrees divided by $720$ minutes is $0.5.$ So, hours moving $0.5$degrees per minute.

Here, the hour hand and minute hand on a clock are $12:20$  it actually makes two angles. This is shown in the below figure.

The angle from hour to minute hand at $12:20$:

• At $12:20,$ the hour is stamped $20$ moved out of a possible $720$  times from the top of the clock.

• $20$ times $0.5$ degrees to $10$degrees.

• At $12:20,$ the minute hand is moved $20$ times out of $60$ possible modes from the top of the clock.  

• $20$ times $6$ degrees is $120$ degrees.

⇒ $120-10 = 110$ degrees

The angle from minute to hour hand at $12:20$:

• The angle from minute hand to hours is just $360$ degrees minus degrees that from hour to the minute we calculated above.

⇒ $60-110=250$ degrees.

• Now you know how to calculate the degrees of the two angles created by the hour hand and minute hand on a $12$-hour clock at $12:20.$
• Therefore, the two angles created by the hour hand and minute hand at twelve-twenty are $110$ degrees and $250$ degrees.