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Parametric equation

  1. Nov 12, 2007 #1
    1. The problem statement, all variables and given/known data

    Each of the three circles A, B and C of the figure below can be parameterized by equations of the form
    x = a + k cos t, y = b + k sin t, 0 ≤ t ≤ 2.
    What can you say about the values of a, b and k for each of these circles?
    (figure attached below)

    3. The attempt at a solution
    A: a and b are both zero because the circle is at the origin, k is 5 b/c the radius is 5
    B: Since the circle moved up by 5, b is 5 and a is zero, k is agian 5 since the radius is 5
    C: The circles's radius is 2[tex]\sqrt{10}[/tex] and it moved right and down by 10.
    Thus, a is 10 and b is -10, and k is 2[tex]\sqrt{10}[/tex]

    Above is how i came up with the answer but I'm not 100% sure.
    Did I do it right, or is somthing wrong?

    Attached Files:

  2. jcsd
  3. Nov 12, 2007 #2


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    Homework Helper

    Well since the picture is pending approval, I would suggest to put the equation into Cartesian form and check the radius,centres and etc
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