Answer:
The equation of the circle can be written as:
Step-by-step explanation:
The general equation of a circle with center
and radius
is:

In our example, we know
, as we just have to make sure we need determine
.

As the circle passes through (10, 14), that pair of values for x and y must satisfy the equation. So we have:






Thus the equation of the circle can be written as:
