Question

What is the equation of the circle in graphing form? The center of a circle is at (-2, -7) and its radius is 36?

Answer 1

`(x + 2)^2 + (y + 7)^2 = 36^2`

Explanation:

I'm not to sure what is meant by 'graphing form' as you have the centre and radius required to draw the circle. The radius of 36 also seems large.

However , 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 centre and r , the radius.

here a = -2 , b = -7 and r = 36

substituting these values into the standard equation to obtain.

`(x + 2)^2 + (y + 7)^2 = 36^2`