How do you find the center and radius of a circle using a polynomial (x - 3) ^2 + (y + 4) ^2 = 25(x−3)2+(y+4)2=25?

1 Answer
Jim G.
Apr 30, 2018

"centre "=(3,-4)" and radius "=5centre =(3,−4) and radius =5

Explanation:

"the equation of a circle in standard form is"the equation of a circle in standard form is

color(red)(bar(ul(|color(white)(2/2)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(2/2)|)))

"where "(a,b)" are the coordinates of the centre and r"
"is the radius"

(x-3)^2+(y+4)^2=25" is in this form"

"with centre "=(3,-4)" and radius "=sqrt25=5

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