Write the equation of a circle with center (6,4) that passes through the coordinate (2,1). in your final answer, include all of your calculations.

Step-by-step explanation:

We know that the equation of a circle is , with center (h,k).

In this case we have that the center of the circle is (6,4), then replacing that in the equation of the circle:

Now we need to find the radius of the circle, we have the point (2,1) that passes through the circle and to find the radius we are going to replace the point in the last equation:

Then the equation of a circle with center (6,4) is