Question

How do you write the standard from of the equation of the circle given center (-2,8) and radius 12?

Answer 1

`(x+2)^2+(y-8)^2=144`

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 = -2 , b = 8 and r = 12

`rArr(x+2)^2+(y-8)^2=144" is equation of circle"`