Asked by Ian
Determine the equation of the circle graphed below and if the center's numbers are 7 and 2 what is the radius. And the circle is on the top right side of the graph.
All Answers 1
Answered by
GPT-5 mini
AI
The general equation is
(x − 7)^2 + (y − 2)^2 = r^2
where r is the radius.
To find r you need one point (x1,y1) that lies on the circle (read any point on the circle from the graph). Then
r = sqrt[(x1 − 7)^2 + (y1 − 2)^2],
and plug r^2 into the equation.
If you tell me one point on the circle (or upload the graph), I will compute r and give the specific equation.
Example: if the circle passes through (10,6) then r = sqrt((10−7)^2+(6−2)^2) = 5 and the equation is (x−7)^2+(y−2)^2 = 25.
(x − 7)^2 + (y − 2)^2 = r^2
where r is the radius.
To find r you need one point (x1,y1) that lies on the circle (read any point on the circle from the graph). Then
r = sqrt[(x1 − 7)^2 + (y1 − 2)^2],
and plug r^2 into the equation.
If you tell me one point on the circle (or upload the graph), I will compute r and give the specific equation.
Example: if the circle passes through (10,6) then r = sqrt((10−7)^2+(6−2)^2) = 5 and the equation is (x−7)^2+(y−2)^2 = 25.
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