Question

How do you write an equation for a circle with radius of 2 with it's centre being (-6,-8)?

Answer 1

`(x+6)^2+(y+8)^2=4`

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, is the radius.

here a = -6 , b = -8 and r = 2

`rArr(x+6)^2+(y+8)^2=4" is the equation of the circle"`