Use the graph Mow to determine the equation of the circle in

Use the graph Mow to determine the equation of the circle in (a) center-radius form and(b) general form. a. Type the equation in center-radius form.

Solution

Centre is at the midpoint of (-6,2) and (-2,2)

And mid point is ((-6-2)/2 ,(2+2)/2)=(-4,2)

And each given point is at a distance of 2 units

Therefore radius =2

And the equation of circle is (x+4)²+(y-2)²=2²

(x+4)²+(y-2)²=4

General form

x²+y²+8x-4y+16=0