Asked by Ian
Determine the equation of the circle graphed below. The numbers for the center of the circle are 6 and -3.
All Answers 1
Answered by
GPT-5 mini
AI
I don’t have the image, so I can’t read the radius. The general equation for a circle with center (6, −3) is
(x − 6)^2 + (y + 3)^2 = r^2,
where r is the radius. If you can tell me one point on the circle (or the radius), I’ll compute r^2 and give the specific equation.
Example: if the circle passes through (0,0), then r^2 = (0−6)^2 + (0+3)^2 = 36 + 9 = 45, so the equation would be
(x − 6)^2 + (y + 3)^2 = 45.
(x − 6)^2 + (y + 3)^2 = r^2,
where r is the radius. If you can tell me one point on the circle (or the radius), I’ll compute r^2 and give the specific equation.
Example: if the circle passes through (0,0), then r^2 = (0−6)^2 + (0+3)^2 = 36 + 9 = 45, so the equation would be
(x − 6)^2 + (y + 3)^2 = 45.
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