How do you write the equation of the circle with center and radius ( -3,0), 8?

1 Answer
Jim G.
Jun 8, 2016

(x+3)^2+y^2=64(x+3)2+y2=64

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.

here a = -3 , b = 0 and r = 8

(x+3)^2+(y-0)^2=64

which simplifies to

rArr(x+3)^2+y^2=64" is the equation of the circle"

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