Answer to Question #2866 in Geometry for kyrsten black

Question

The circle has diameter RS where R is (-3,2) and S is (3,2). Find the equation of the circle.

Answer 1

Let's find the center of the circle, it lays on the middle of the interval RS and has the coordinates:
(3+(-3)/2, (2+2)/2)
O (0, 2).

The radius of this circle would be
R² = (3-0)² + (2-2)² = 9
R = 3.

Thus the equation of the circle is
x² + (y-2)² = 9