# How to find angle...

Discussion in 'Math' started by RRITESH KAKKAR, Dec 30, 2015.

1. ### RRITESH KAKKAR Thread Starter Senior Member

Jun 29, 2010
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A clock shows the time as 12.20. What is the angle the hour hand makes with the minutes hand?

Apr 5, 2008
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Hello,

It depends if you want to compensate for the hour hand, as it shifts a tiny bit every second.
That is how a mechanical clock works.
The minute hand makes 6 degrees every minute.

Bertus

RRITESH KAKKAR likes this.

Jun 29, 2010
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4. ### RRITESH KAKKAR Thread Starter Senior Member

Jun 29, 2010
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The minute hand makes 6 degrees every minute.
6sec*5min*4=120 wrong

Apr 5, 2008
15,649
2,348
Hello,

In a mechanical clock, the hour hand moves with 1/60 of the speed of the minute hand.

Bertus

6. ### RRITESH KAKKAR Thread Starter Senior Member

Jun 29, 2010
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A clock shows the time as 12.20. What is the angle the hour hand makes with the minutes hand?

The question is exactly what is the Angle now..

Apr 5, 2008
15,649
2,348
Hello,

I made a mistake in post #5.
When the hour hand makes a 30 degrees move in an hour, it will make a move of 10 degrees in 20 minutes.

Bertus

8. ### RRITESH KAKKAR Thread Starter Senior Member

Jun 29, 2010
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When the hour hand makes a 30 degrees move in an hour, it will make a move of 10 degrees in 20 minutes.

How?
There is total 360 if anything go circle/round ...
the answer is 110 degree why?

Apr 16, 2011
250
82
Draw the analogue clock on a sheet of paper, but instead of the 12 hours, mark the 12 divisions in degrees, starting with 0 degrees at the top.

The answer should become obvious if you remember to think carefully.

Hint - the hour hand does not point to 0 degrees

Over to you....

10. ### Ramussons Active Member

May 3, 2013
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The hour hand goes 360 degrees in 12 hours => 30 degrees /hour => 10 degrees in 20 minutes.
The minute hand does 360 degrees in 60 minutes => 120 degrees in 20 minutes.

=> angle between the hands = (120 - 10) = 110 degrees.

11. ### RRITESH KAKKAR Thread Starter Senior Member

Jun 29, 2010
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Here is The Clock

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Apr 16, 2011
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That is a good start, but now draw it with the hour hand in the correct place...

13. ### RRITESH KAKKAR Thread Starter Senior Member

Jun 29, 2010
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How?

Apr 16, 2011
250
82
Look at a real analogue clock and see where the hands are at 12:20. Think about why the hands are where they are. Draw what you see and then work out the angle between hands.

Play around with an analogue clock for a while adjusting the time manually and think about what is happening.

Can't think what else to suggest.

15. ### RRITESH KAKKAR Thread Starter Senior Member

Jun 29, 2010
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The Smaller hour hand goes to Top 12hour
The bigger is at 4 because it is 20 min
The right angle i.e. 12 hour hand and 15 min is 90 degree , plus more 5 min

What else to do with it?

Apr 16, 2011
250
82
The Smaller hour hand goes to Top 12hour - wrong - go and find a real clock and study it
The bigger is at 4 because it is 20 min - correct

Study a real clock and then try again

Apr 5, 2008
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18. ### RRITESH KAKKAR Thread Starter Senior Member

Jun 29, 2010
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Ok, i got it the 12 will move move towards 4/20min

it is making 8degree per min why?

19. ### RRITESH KAKKAR Thread Starter Senior Member

Jun 29, 2010
2,831
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it is making 8degree per min why?