4)
Answer: (x + 2)^2 + (y + 1)^2 = 16
Step-by-step explanation:
From the graph,
diameter of circle = 8
radius = diameter/2 = 8/2 = 4
The x coordinate of the center = - 2
The y coordinate of the center = - 1
The equation of a circle in standard form is expressed as
(x - h)^2 + (y - k)^2 = r^2
where
h and k are the x and y coordinates of the center respectively
r is the radius
Substituting h = - 2, k = - 1 and r = 4 into the equation, the equation of the circle is
(x - - 2)^2 + (y - - 1)^2 = 4^2
(x + 2)^2 + (y + 1)^2 = 16
The equation of the circle is
(x + 2)^2 + (y + 1)^2 = 16