Which equation is associated with a circle whose center is at (-4, 0) and has a radius of 8?

Question

Which equation is associated with a circle whose center is at (-4, 0) and has a radius of 8?

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Ariana 2 weeks 2021-09-14T18:15:12+00:00 1 Answer 0

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    2021-09-14T18:17:01+00:00

    The equation for a circle with a center at (h,k) and radius r is the following:

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

    We are given a center of (-4,0) and we are also given that the radius is 8. Plus these values into the standard equation for a circle:

    (x-(-4))^2+(y+0)^2=8^2

    After simplifying, the equation turns into:

    (x+4)^2+y^2=64

    This should be your answer. Let me know if you need any clarifications, thanks!

    ~ Padoru

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