How do you write the equation of the circle with a diameter that has endpoints at (8, 7) and (–4, –3)?
Find the center and radius of the circle, and then write it in standard form as
The standard equation of a circle centered at
As the midpoint of any diameter of a circle is the center of the circle, we can find the center by locating the midpoint of the line segment with endpoints
Next, to find the radius of the circle, we can just calculate the distance from the center to either of the given points on the circle. The distance between two points
With both the center at the radius, we can now write the circle's equation: