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April 30th, 2013, 11:44 PM   #1
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dividing 3.14 (or pi) by 180 degrees

Hi, a question on converting degrees to radians:


there are 2 pi = 6.28 radians to a circle and 3.14 to half a circle and half a circle is 180 degrees

if I divide 3.14 over 180 on a calculator, would I get 1 radian? What would the number be returned?

Or is there a pi button on the calculator? ? / 180
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April 30th, 2013, 11:55 PM   #2
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Re: dividing 3.14 (or pi) by 180 degrees

There are radians per 180 degrees, so would represent the number of radians per degree.
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May 1st, 2013, 04:54 AM   #3
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Re: dividing 3.14 (or pi) by 180 degrees

Quote:
Originally Posted by hansolo
if I divide 3.14 over 180 on a calculator, would I get 1 radian?
One radian is 360/(2?) = 180/? ? 57.3 degrees.
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May 1st, 2013, 06:02 AM   #4
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For a scientific calculator without a ? button, use 45/arctan(1).
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May 1st, 2013, 10:44 PM   #5
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Re: dividing 3.14 (or pi) by 180 degrees

There are pi radians per 180 degrees, so would represent the number of radians per degree.

Yes, mark, this equation you wrote would return the number of radians in half a circle divide by 180 which would be a value of 1 radian?

As there 180 degrees to a circle ....

when I type pi divide by a 180 degrees, the value I have returned is 0.017

is that a correct value returned?
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May 1st, 2013, 10:58 PM   #6
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Re: dividing 3.14 (or pi) by 180 degrees

Yes, that is correctly rounded to 3 decimal places.
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May 1st, 2013, 11:10 PM   #7
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Re: dividing 3.14 (or pi) by 180 degrees

I was dividing it by 2 pi which was 180/628. That's why my result was not returning 1 radian in pi
as I should have divided 180/ 3.14 = 57.34 to 2 decimal places.
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