Step 1:

The circle equation is $\"\"$ .

Standard form of the circle is $\"\"$ , where center is $\"\"$ and $\"\"$ is radius of the circle.

Convert the equation $\"\"$ into standard form.

Completing square.

$\"\"$

Change the expressions, $\"\"$ and $\"\"$ into a perfect square trinomial.

Add (half the $\"\"$ coefficient)² and (half the $\"\"$ coefficient)² to each side of the equation.

$\"\"$

Divide each side by $\"\"$ .

$\"\"$

Compare with standard form of circle $\"\"$ .

$\"\"$

Center $\"\"$ and radius $\"\"$ units.

Solution:

Standard form of the circle is $\"\"$ .

Center $\"\"$ and $\"\"$ units.