Results 1 to 2 of 2

Thread: Difficult to evaluate area of a spherical rectangle than that of a plane rectangle

  1. #1
    Newbie
    Joined
    Mar 2015
    From
    Vill-Buraura, Distt-Mahoba (UP) India-210429
    Posts
    11

    Difficult to evaluate area of a spherical rectangle than that of a plane rectangle

    How to evaluate the area covered by a spherical rectangle, having length & width (each as a great circle arc) of 18 & 6 units respectively, on a spherical surface with a radius 50 units? any help is highly appreciated. thanks in advance.......
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    6,577
    Thanks
    1711

    Re: Difficult to evaluate area of a spherical rectangle than that of a plane rectangl

    Hey hcrajpoot.

    There are a few ways you could do this. You could use vector calculus results or you could deform the solid using a co-ordinate transformation and get the boundary in Euclidean space.

    Here is an idea of the first method:

    Pauls Online Notes : Calculus III - Surface Integrals
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 6
    Last Post: Jun 15th 2014, 11:39 AM
  2. Replies: 2
    Last Post: Jun 28th 2012, 06:07 AM
  3. Replies: 6
    Last Post: Jun 2nd 2011, 04:56 PM
  4. Replies: 1
    Last Post: Nov 23rd 2009, 06:41 PM
  5. Area of rectangle
    Posted in the Geometry Forum
    Replies: 2
    Last Post: Apr 3rd 2009, 07:20 AM

Search Tags


/mathhelpforum @mathhelpforum