Results 1 to 3 of 3
Like Tree2Thanks
  • 1 Post By HallsofIvy
  • 1 Post By Plato

Thread: Radians of the unit circle.

  1. #1
    Member
    Joined
    Oct 2012
    From
    Nowhere
    Posts
    82

    Radians of the unit circle.

    For the radians of the unit circle that are degree 30, 45, and 60.. is there a way where I can find the radians without using a calculator by converting degree to radians? Like for example why is 60 degrees on the unit circle pi over 3. What is the formula for adding up the radians throughout the whole unit circle?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Apr 2005
    Posts
    18,448
    Thanks
    2531

    Re: Radians of the unit circle.

    You just need to know: 1) the relation ship is linear, 2) 0 degrees= 0 radians, 3) 360 degrees= 2\pi radians
    \frac{x degrees}{y radians}= \frac{360}{2\pi}.

    So if "x degrees" is "30 degrees" we have \frac{30 degrees}{y radians}= \frac{360}{2\pi}. Now "cross multiply": (y radians)(360)= (30 degrees)(2\pi)= 60\pi. y radians= \frac{60\pi}{360}= \frac{\pi}{6} radians.
    Thanks from Eraser147
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    20,424
    Thanks
    2307
    Awards
    1

    Re: Radians of the unit circle.

    Quote Originally Posted by Eraser147 View Post
    For the radians of the unit circle that are degree 30, 45, and 60.. is there a way where I can find the radians without using a calculator by converting degree to radians? Like for example why is 60 degrees on the unit circle pi over 3. What is the formula for adding up the radians throughout the whole unit circle?
    Think in terms of units, like feet, yards, meters etc.
    (N\deg)\left(\frac{\pi}{180\deg}\right)=\left( \frac{N\pi}{180}\right)

    (N^o)\left(\frac{\pi}{180^o}\right)=\left( \frac{3\pi}{4}\right)
    Thanks from Eraser147
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Unit Circle Help
    Posted in the Trigonometry Forum
    Replies: 6
    Last Post: May 16th 2012, 04:19 AM
  2. using the unit circle
    Posted in the Trigonometry Forum
    Replies: 1
    Last Post: Oct 5th 2009, 11:29 AM
  3. Unit Circle Help
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: Oct 1st 2009, 11:40 PM
  4. unit circle
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: Nov 8th 2008, 03:46 PM
  5. Tan on a unit circle
    Posted in the Trigonometry Forum
    Replies: 2
    Last Post: Jul 3rd 2008, 09:42 AM

Search Tags


/mathhelpforum @mathhelpforum