Question

How do you find the center and radius of `X^2+(y+3)^2=25`?

Answer 1

centre = (0 ,-3) , r = 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.

here a = 0 , b =- 3 and r = 5

hence centre = (a ,b) = (0 ,-3) and radius = 5