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13 August, 08:17

Write the equation of a circle with a center (10,7) and a radius of 2

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Answers (2)
  1. 13 August, 08:29
    0
    (x - 10) ^2 + (y - 7) ^2 = 2^2

    Step-by-step explanation:

    Start with the standard equation of a circle with center (h, k) and radius r:

    (x - h) ^2 + (y - k) ^2 = r^2

    Substitute 10 for h, 7 for k and 2 for r, obtaining:

    (x - 10) ^2 + (y - 7) ^2 = 2^2
  2. 13 August, 08:44
    0
    Answer

    x ^2 + y^2 - 20x + 14y + 145 = 0

    Step-by-step explanation:

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

    (h, k) is the center

    r is the radius

    Inserting the values (10,7)

    h - 10

    k - 7

    Inserting into the above formula

    (x - 10) ^2 + (y + 7) ^2 = 2^2

    (x - 10) (x - 10) + (y + 7) (y + 7) = 4

    Opening the brackets

    = (x ^2 - 20x + 100) + (y^2 + 14y + 49) = 4

    x^2 - 20x + 100 + y^2 + 14y + 49 = 4

    Rearranging algebrally,

    x^2 + y^2 - 20x + 14y + 100 + 49 - 4 = 0

    = x^2 + y^2 - 20x + 14y + 145 = 0
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