Step 1

From the given hypothesis we clearly drawing a circle with centered at origin and with diameter is 6 inches:

Step 2

The Coordinate systems are:

\((0 , -6), (0, 6)\ on\ y-axis\ and\ (6, 0), (-6, 0)\) on x - axis

And also it passes through the centre (0, 0)

Therefore the inequalities are

\(-6 < x < 6\ and\ -6 < y <6\)