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April 30th, 2013, 11:44 PM  #1 
Newbie Joined: Mar 2013 Posts: 4 Thanks: 0  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 
April 30th, 2013, 11:55 PM  #2 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: dividing 3.14 (or pi) by 180 degrees
There are radians per 180 degrees, so would represent the number of radians per degree.

May 1st, 2013, 04:54 AM  #3  
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,968 Thanks: 1152 Math Focus: Elementary mathematics and beyond  Re: dividing 3.14 (or pi) by 180 degrees Quote:
 
May 1st, 2013, 06:02 AM  #4 
Global Moderator Joined: Dec 2006 Posts: 21,035 Thanks: 2271 
For a scientific calculator without a ? button, use 45/arctan(1).

May 1st, 2013, 10:44 PM  #5 
Newbie Joined: Mar 2013 Posts: 4 Thanks: 0  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? 
May 1st, 2013, 10:58 PM  #6 
Senior Member Joined: Jul 2010 From: St. Augustine, FL., U.S.A.'s oldest city Posts: 12,211 Thanks: 521 Math Focus: Calculus/ODEs  Re: dividing 3.14 (or pi) by 180 degrees
Yes, that is correctly rounded to 3 decimal places.

May 1st, 2013, 11:10 PM  #7 
Newbie Joined: Mar 2013 Posts: 4 Thanks: 0  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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