Can someone please help me I can't figure this out Find the center and radius of the circle. (x - 4)2 + (y + 6)2 = 16
Certainly! To find the center and radius of a circle given its equation in the form (x - h)^2 + (y - k)^2 = r^2, we can observe that the equation represents a circle centered at the point (h, k) with a radius of r.
In your case, the equation is (x - 4)^2 + (y + 6)^2 = 16. By comparing this equation to the general form, we can determine the center and radius.
The center of the circle is given by (h, k), where h is the x-coordinate and k is the y-coordinate. In the equation, we see that (h, k) = (4, -6). Therefore, the center of the circle is (4, -6).
The radius is given by r, which is the square root of the number on the right side of the equation. In this case, r = √16 = 4.
Hence, the center of the circle is (4, -6) and the radius is 4 units.