Which equation represents a circle with center T(5,-1) and a radius of 16 units?

Question

Which equation represents a circle with center T(5,-1) and a radius of 16 units?

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Emery 1 week 2021-09-09T10:33:13+00:00 2 Answers 0

Answers ( )

    0
    2021-09-09T10:34:47+00:00

    Answer:

    (x-5)^2+(y+1)^2=256

    Step-by-step explanation:

    The center-radius form (most formally called the standard form) of a circle is (x-h)^2+(y-k)^2=r^2

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

    So we have (h,k)=(5,-1) and r=16.

    The equation becomes

    (x-5)^2+(y-(-1))^2=16^2

    (x-5)^2+(y+1)^2=256

    0
    2021-09-09T10:34:49+00:00

    Answer:

    (x – 5)^2 + (y + 5)^2 = 256

    Step-by-step explanation:

    Equation for a circle is as follows:

    (x – h)^2 + (y – k)^2 = r^2

    with (h, k) being the vertex.

    Vertex = (5, -1) so:

    h = 5

    k = -1

    r = 16

    So…

    (x – 5)^2 +(y – (-5))^2 = (16)^2

    = (x – 5)^2 + (y + 5)^2 = 256

    i think.

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