Question

What is the larger angle between the minute hand and hour hand at 12:40?​

Answer 1

Answer:

240

360/3=120

then let image that clock consider as fun

then we know fun each angle is120°

Answer 2

Given,

The time in the clock is 12:40

To find,

The biggest angle between the two hands of the clock at the given time.

Solution,

First of all, we need to calculate the number of divisions between the minute hand and the hour hand, at the given time.

Now, the minute hand is obviously on the 40th marking.

Now, for every 60 minutes the hour hand of the clocks, move 5 markings on the clock.

Here, 40 minutes had passed.

So,

60 minutes = 5 markings

1 minute = 5/60 marking

40 minutes = 5×40/60 = 200/60 = 10/3 markings

Marking of the hour hand = 10/3

Now,the markings between the hour hand and minute hand,

= (40-10/3) = 110/3 markings

Now, a clock has total 60 markings for 360° angle.

So,

60 markings = 360°

1 marking = 6°

110/3 markings = 6 × 110/3 = 220°

So, one angle between hour hand and minute hand is 220°.

Another angle will be = 360° - 220° = 140°

Hence, the biggest angle between the hour hand and minute hand is 220°.