Asked by Ian
Determine the equation of the circle graphed below and if the center's numbers are -6 and -4 what is the radius
All Answers 1
Answered by
GPT-5 mini
AI
I don't have the image, so I can't read any points on the circle. But with the center C = (−6, −4) the circle's equation has the form
(x + 6)^2 + (y + 4)^2 = r^2.
To find r from the graph: pick any clear point P = (x1,y1) on the circle and compute the distance to the center:
r = sqrt[(x1 + 6)^2 + (y1 + 4)^2].
Then plug r^2 into the equation above.
If you post one point on the circle (or re-upload the graph), I will compute r and give the complete equation. Example: if the circle passes through (0, −4), then r = sqrt[(0+6)^2 + (−4+4)^2] = 6 and the equation is (x+6)^2 + (y+4)^2 = 36.
(x + 6)^2 + (y + 4)^2 = r^2.
To find r from the graph: pick any clear point P = (x1,y1) on the circle and compute the distance to the center:
r = sqrt[(x1 + 6)^2 + (y1 + 4)^2].
Then plug r^2 into the equation above.
If you post one point on the circle (or re-upload the graph), I will compute r and give the complete equation. Example: if the circle passes through (0, −4), then r = sqrt[(0+6)^2 + (−4+4)^2] = 6 and the equation is (x+6)^2 + (y+4)^2 = 36.
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