Results 1 to 2 of 2

Thread: Geometry Question

  1. September 28th 2009, 02:26 AM #1
    deltaxray
    deltaxray is offline
    Junior Member
    Joined
    Sep 2009
    Posts
    40

    Geometry Question

    Can someone please help me with the following question please.

    THe diagram opposite shows an equilateral triangle ABC whose sides are 2(x) units long.

    a) show that the inscribed circle tangent to all three sides has area 1/3pi(x)^2

    b) show that the circumscribed circle passing through all three vertices has four times the area of the inscribed circle

    Thanks

    Follow Math Help Forum on Facebook and Google+
  2. September 28th 2009, 07:31 AM #2
    red_dog
    red_dog is offline
    MHF Contributor red_dog's Avatar
    Joined
    Jun 2007
    From
    Medgidia, Romania
    Posts
    1,241
    The radius of the inscribed circle is r=\frac{l\sqrt{3}}{6}, where l is the length of the side of the triangle.

    The radius of the circumscribed circla is R=\frac{l\sqrt{3}}{3}, where l is the length of the side of the triangle.

    Then use the formula for the area of a circle: A=\pi R^2
    Follow Math Help Forum on Facebook and Google+
« Simplest Formula to Find Equation of A Circle from 3 Points Given | Minimum distance from a circle »

Similar Math Help Forum Discussions

  1. geometry question
    Posted in the Geometry Forum
    Replies: 5
    Last Post: August 15th 2011, 02:55 AM
  2. geometry question?
    Posted in the Geometry Forum
    Replies: 4
    Last Post: April 6th 2008, 06:25 PM
  3. one series question and one geometry question ^^
    Posted in the Algebra Forum
    Replies: 6
    Last Post: August 18th 2007, 12:13 PM
  4. Geometry question
    Posted in the Geometry Forum
    Replies: 2
    Last Post: June 2nd 2007, 06:24 PM
  5. Geometry Question
    Posted in the Geometry Forum
    Replies: 5
    Last Post: March 1st 2007, 05:06 PM

Search Tags


/mathhelpforum @mathhelpforum