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what is the measure of the smaller angle between the hands of a $12$-hour clock at $12:25$ pm, in degrees?

Sagot :

The smaller angle made by the hour hands of a clock at a given time is 137°30'. It is attained by using the concept of clocks on the problems.

What is a clock?

A clock is a device which is used for measuring and indicating the time. It has three hands, namely an hour hand, a minute hand and a second hand. A clock can be classified in two ways, one is a 12-hour clock and the other is a 24-hour clock.

Calculation of the smaller angle made by the hour hand  

For minute hand,

60 min makes an angle 360°

1 min = 6°

25 min = 6° × 25

= 150°

For hour hand,

12 hours makes an angle 360°

1 hour = 30°

1 min = 30° / 60

= 1/2°

25 min = 1/2° × 25

= 12°30'

The smaller angle made by hour hand is given by 150° - 12°30'

=137°30'

Hence, the smaller angle between the hour hands is 137°30'.

To learn more about the clocks, visit here:

https://brainly.com/question/82007

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