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Circle question, have centre point and radius, need points on the circle...

  • 20-05-2007 12:23PM
    #1
    Registered Users, Registered Users 2 Posts: 492 ✭✭


    Just say the i have a circle,

    Centre of circle is (5,5),

    Radius is 12,

    What i want is the co-ordinates of the edge of the circle,

    i know this is easy LC maths but i cant remeb how to do it and i have no maths book!

    Thanks all


Comments

  • Registered Users, Registered Users 2 Posts: 2,178 ✭✭✭Irish Wolf


    apeking wrote:
    Just say the i have a circle,

    Centre of circle is (5,5),

    Radius is 12,

    What i want is the co-ordinates of the edge of the circle,

    i know this is easy LC maths but i cant remeb how to do it and i have no maths book!

    Thanks all

    Just add/substrate the radius from your x or y centre point value for some of the infinite points on the circle...

    e.g. (5,17) (17,5) (5,-7) (-7,5) are all points along the circle.

    The standard form of the equation for a circle is (x-h)^2+(y-k)^2=r^2

    h,k are the circle centre points and r is the radius... so for the circle you described above the equation would be (x-5)^2+(y-5)^2=144


  • Registered Users, Registered Users 2 Posts: 492 ✭✭apeking


    Irish Wolf wrote:
    Just add/substrate the radius from your x or y centre point value for some of the infinite points on the circle...

    e.g. (5,17) (17,5) (5,-7) (-7,5) are all points along the circle.

    The standard form of the equation for a circle is (x-h)^2+(y-k)^2=r^2

    h,k are the circle centre points and r is the radius... so for the circle you described above the equation would be (x-5)^2+(y-5)^2=144

    Ye thats good if you want to get the co-ordinates at 0, 90, 180 and 270 degrees, what about the angles in between them, like 2 degrees for example??


  • Registered Users, Registered Users 2 Posts: 2,178 ✭✭✭Irish Wolf


    apeking wrote:
    Ye thats good if you want to get the co-ordinates at 0, 90, 180 and 270 degrees, what about the angles in between them, like 2 degrees for example??

    x(t)=r.cos(t)+h
    y(t)=r.sin(t)+k


  • Registered Users, Registered Users 2 Posts: 492 ✭✭apeking


    Irish Wolf wrote:
    x(t)=r.cos(t)+h
    y(t)=r.sin(t)+k


    Thank you, that is great.

    Much appreciated


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