How do you find the center and radius of (x - 5) ^2 + (y + 3)^ 2 = 25?

1 Answer
Jim G.
Sep 18, 2016

centre = (5 ,-3) and radius = 5

Explanation:

The standard form of the equation of a circle is.

color(red)(bar(ul(|color(white)(a/a)color(black)((x-a)^2+(y-b)^2=r^2)color(white)(a/a)|)))
where (a ,b) are the coordinates of the centre and r, the radius.

(x-5)^2+(y+3)^2=25" is in this form"

and by comparison with the standard form.

a=5,b=-3" and " r^2=25rArrr=sqrt25=5

Hence centre = (5 ,-3) and radius = 5

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