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CASprojectIB
CASprojectIB asked in Science & MathematicsMathematics · 5 years ago

Writing a parameter form for a circle?

So I have a function of a circle,

x^2 + (y-2)^2 =2,

How would you write that in a parametric form?

Thanks :)

2 Answers

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  • ?
    Lv 7
    5 years ago

    Well,

    this circle (C2) is the translation of (C1) of center Origin and radius sqrt2,

    after a vertical translation of vector 2j

    one obvious parametric form of (C1) is :

    x = sqrt2 cosθ

    y = sqrt2 sinθ

    thus,

    after transltion of u = 2j we get

    one parametric form of (C2) :

    x = sqrt2 cosθ

    y = sqrt2 sinθ + 2

    et voilà !! ;-)

    hope it' ll help !!

  • DWRead
    Lv 7
    5 years ago

    (Note that the equation of a circle is not a function.)

    General equation for a circle:

     (x-h)² + (y-k)² = r²

    where (h,k) is the center and r is the radius.

    Parametric equations:

     x = r·cosθ + h

     y = r·sinθ + k

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