Two points A and B have coordinates (3,6) and (-3,0) respectively.
Obtain the equation of the circle for which the line segment AB is the diameter
The general equation for a circle is where ( is the center and is the radius.
The line segment is the diameter. Then the center of the circle is the middle of the line segment
Center
The radius of the circle is half of the diameter
Substitute
The general equation of the circle for which the line segment is the diameter is
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