Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

The circle has center at (9, 12) and passes through the origin.

Equation of the circle in center and radius form is given by

where r is the radius and center at (h,k)

Now substitute the value of the center we get

As it passes through the origin so we can write

Hence the equation of the circle is