My Math Forum dividing 3.14 (or pi) by 180 degrees

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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 $\pi$ radians per 180 degrees, so $\frac{\pi}{180}$ would represent the number of radians per degree.
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.

 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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# solve the problem -104*3.14/180

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