Answer to Problem 2.

The center of the circle is the midpoint of the diameter. From the formula for the midpoint we obtain

Center = ( [Maple Math] ) = (2,1)

The radius is the distance from the center to any of the two points on the circle:

Radius = dist( (2,1),(7,13)) = 13

Hence, the equation of the circle is

[Maple Math] .

[Maple Plot]