which of the following is the correct equation for the unit circle?

(x)^2 -(y)^2=9
(x)^2 +(y)^2=4
(x)^2 -(y)^2 =4
(x)^2 +(y)^2=1

The correct equation for the unit circle is:

(x)^2 + (y)^2 = 1

The equation reflects a circle with a radius of 1, centered at the origin (0, 0) of a Cartesian coordinate system. The variables x and y represent the coordinates of any point on the circle.