High institution Math help » Geometry » airplane Geometry » one » Clock math » how to find the edge of clock hands

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Explanation:

The distance in between each notch on the clock is 6 degrees since there room 360 levels on the clock, and there are 60 notches total. The minute hand is in ~ notch #20, and so the is 120 degrees from the top. The hour hand is a tiny past notch #40 due to the fact that the time is a small past hour 8. Thus, the hour hand is a tiny past 240 degrees from the top, going clockwise (

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 degrees).

You are watching: What is the angular position in radians of the minute hand of a clock at 5:00?

In each hour, the hour hand go 5 notches, or 30 degrees. Because it is now 20 minutes past the hour, a third of an hour has passed. One third of 30 degrees is 10 degrees. Thus, the hour hand is 10 degrees past notch #40. The hour hand is 250 degrees from the top, walking clockwise. The angle between the two hands is thus 130 degrees.


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Example inquiry #2 : exactly how To uncover The angle Of Clock hands


When make a pie chart, how countless degrees have to be allotted for 

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percent?


Possible Answers:
Correct answer:

*


Explanation:

This is a relationship problem

 

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so there are 
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in 
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percent the a circle


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Example inquiry #1 : how To discover The edge Of Clock hand


If it is 2:00 PM, what is the measure up of the angle in between the minute and also hour hand of the clock?


Possible Answers:

60 degrees


45 degrees


120 degrees


90 degrees


30 degrees


Correct answer:

60 degrees


Explanation:

First keep in mind that a clock is a circle do of 360 degrees, and also that every number to represent an angle and the separation between them is 360/12 = 30. And also at 2:00, the minute hand is top top the 12 and also the hour hand is on the 2. The exactly answer is 2 * 30 = 60 degrees.


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Example inquiry #4 : exactly how To discover The edge Of Clock hands


A clock right now reads 2:00. What is the size of the angle formed between the hour and also minute hands?


Possible Answers:
Correct answer:

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Explanation:

The internal angle the a sector is same the the edge of the sector. If the entire circumference was the sector, it would certainly equal

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. Additionally, if it to be 12:00, the angle would be same to
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. We can solve the trouble by setup up a proportion. 2:00 will certainly be two-twelfths that the circle past the 12:00 mark, and will be at an angle of
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.

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Cross multiply and solve for

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.

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Example question #1 : just how To uncover The angle Of Clock hand


It is 4 o’clock. What is the measure up of the angle formed between the hour hand and the minute hand?


Possible Answers:
Correct answer:

*


Explanation:

At four o’clock the minute hand is ~ above the 12 and the hour hand is top top the 4. The angle formed is 4/12 of the total number of degrees in a circle, 360.

4/12 * 360 = 120 degrees


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Example inquiry #5 : exactly how To uncover The edge Of Clock hands


If a clock reads 8:15 PM, what angle do the hand make?


Possible Answers:
Correct answer:

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Explanation:

A clock is a circle, and also a circle always contains 360 degrees. Due to the fact that there space 60 minutes on a clock, every minute mark is 6 degrees.

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The minute hand on the clock will point at 15 minutes, allowing us to calculate it"s position on the circle.

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Since there are 12 hrs on the clock, every hour note is 30 degrees.

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We can calculate whereby the hour hand will be in ~ 8:00.

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However, the hour hand will certainly actually it is in between the 8 and also the 9, because we room looking at 8:15 quite than an absolute hour mark. 15 minute is equal to one-fourth of an hour. Use the very same equation to discover the extr position the the hour hand.

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We are looking for the angle in between the 2 hands the the clock. The will certainly be same to the difference between the two angle measures.

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Example concern #1 : exactly how To discover The edge Of Clock hand


What is the measure up of the smaller angle created by the hands of an analog watch if the hour hand is on the 10 and the minute hand is on the 2?


Possible Answers:

120°


90°


56°


45°


30°


Correct answer:

120°


Explanation:

A analog clock is divided up right into 12 sectors, based on the number 1–12. One sector to represent 30 levels (360/12 = 30). If the hour hand is straight on the 10, and also the minute hand is top top the 2, that way there are 4 sectors the 30 degrees in between then, hence they room 120 degrees apart (30 * 4 = 120).

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Example question #1 : just how To find The edge Of Clock hands


What is the measure, in degrees, of the acute angle created by the hands of a 12-hour clock that reads precisely 3:10?

 


Possible Answers:

55°


72°


35°


65°


60°


Correct answer:

35°


Explanation:

The entire clock steps 360°. As the clock is separated into 12 sections, the distance between each number is equivalent to 30° (360/12). The distance in between the 2 and also the 3 top top the clock is 30°. One needs to account, however, for the 10 minutes that have actually passed. 10 minute is 1/6 of an hour for this reason the hour hand has also moved 1/6 that the distance in between the 3 and the 4, which to add 5° (1/6 the 30°). The full measure of the angle, therefore, is 35°.

 

 


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