How do you write an equation for a circle with endpoints of the diameter at (2, -5) and (-4, 3)?
To obtain the radius you first can find the lenght of the diameter by calculating the distance between its endpoints:
the radius is then the half of the diameter:
The center of the circle is the middlepoint of the diameter:
The equation of the circle is obtained by substituting the center and the radius in the following:
where the center is
and the radius is 5:
in the standard form: