If the center of a circle is at
(2,2) with a radius of 4 the equation of the graph would be :
a) (x-2)^2 + (y-2)^2 = 16
b) (x+2)^2 + (y+2)^2 = 16
I think it would be b
is that correct?
I would put my money on a)
for centre (h,k) and radius r, the equation of the circle is
(x-h)^2 + (y-k)^2 = r^2
To determine the equation of a circle with center (h, k) and radius r, we use the equation (x - h)^2 + (y - k)^2 = r^2.
In this case, the center of the circle is (2, 2), and the radius is 4. Substituting these values into the equation, we get:
(x - 2)^2 + (y - 2)^2 = 4^2
(x - 2)^2 + (y - 2)^2 = 16
So, the correct equation for the graph of the circle is option a) (x - 2)^2 + (y - 2)^2 = 16. Option b) is incorrect.