The circle equation is $\"\"$ .

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

Wheere $\"\"$ is center and $\"\"$ is the radius.

Rewrite the circle equation as $\"\"$ .

Center of the circle $\"\"$ and radius $\"\"$ .

Diameter of the circle is twice its radius.

$\"\"$

Diameter of the circle is 6.

Graph:

Consider $\"\"$

Solve for $\"\"$ .

$\"\"$

Construct a table for different values of $\"image\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Graph :

Plot the center $\"\"$ .

Plot the points obtained in the above table.

Connect those points with a smooth curve.

Graph the circle $\"\"$ .

$\"\"$

Solution :

(a) Center of the circle $\"\"$ .

(b) Radius $\"\"$ and Diameter of the circle is 6.

$\"\"$