How do you write the standard form of the equation of the circle with the given the diameter with endpoints (-10, -6) and (-2, -4)?
Diameter with endpoints
To find the length of the diameter, use the distance formula
The length of the radius
The center of the circle is the midpoint of the diameter.
Remember, the midpoint of a segment is just the average of the x coordinates and the average of the y coordinates. This gives the midpoint formula
The center is
The equation of a circle is
Therefore, the equation is