Answer:
The equation that represents circle C is .
Step-by-step explanation:
A circle is the set of all points in the plane which maintains a fixed finite distance <em>r</em> from a fixed point <em>O = (a, b)</em>. Here <em>O</em> is called the center, and <em>r</em> is called the radius of that circle.
The standard equation for a circle with center (a, b) and radius <em>r</em> is
We are told that the center of this circle is (-2, 10), so
We are also told that the circle contains the point (10, 5), so we will use that information to find the radius <em>r.</em>
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Therefore, the equation that represents circle C is