Write the equation of a circle where A (1,0) and B(−5,8) are the endpoints of a diameter.

Answer 1

The diameter of the circle is then sqrt{ (8-0)² + (-5-1)² } = 10, so the radius is 10/2 = 5

The midpoint of the x coordinates is -2, and the midpoint of the y coordinates is 4.

So the equation of the circle is (x+2)² + (y-4)² = 25