Results 1 to 3 of 3

Math Help - geometry

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    22

    geometry

    how can we prove that length of arc in a circle is equal to radius of circle multiplied by angle between extreme radii or sector?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    skeeter's Avatar
    Joined
    Jun 2008
    From
    North Texas
    Posts
    12,042
    Thanks
    885
    Quote Originally Posted by rohith14 View Post
    how can we prove that length of arc in a circle is equal to radius of circle multiplied by angle between extreme radii or sector?
    for a central angle in a circle, its radian angle measure, \theta , is defined as the ratio of the length of the intercepted arc, s , divided by the length of the radius, r ...

    \theta = \frac{s}{r}

    using that definition, you should be able to arrive at the desired result rather easily.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,908
    Thanks
    1759
    Awards
    1
    Quote Originally Posted by rohith14 View Post
    how can we prove that length of arc in a circle is equal to radius of circle multiplied by angle between extreme radii or sector?
    It is really a matter of definition as opposed to proof.
    One radian is defined to be the measure of a central angle in any circle that subtends an arc of the circle equal in length to the radius of the circle.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Finite Geometry: Young's Geometry
    Posted in the Advanced Math Topics Forum
    Replies: 0
    Last Post: September 15th 2010, 08:20 AM
  2. geometry
    Posted in the Geometry Forum
    Replies: 2
    Last Post: December 21st 2009, 04:18 AM
  3. Modern Geometry: Taxicab Geometry Problems
    Posted in the Differential Geometry Forum
    Replies: 0
    Last Post: March 30th 2009, 08:32 PM
  4. geometry
    Posted in the Geometry Forum
    Replies: 3
    Last Post: November 17th 2008, 06:29 PM
  5. geometry
    Posted in the Geometry Forum
    Replies: 13
    Last Post: June 8th 2008, 08:31 AM

Search Tags


/mathhelpforum @mathhelpforum