A diameter of a circle has endpoints A(-4,2) and B(3,2). Find the center of the circle, radius, and write an equation for the circle.

A diameter of a circle has endpoints A(-4,2) and B(3,2). Find the center of the circle, radius, and write an equation for the circle.

The center is at the midpoint of AB: (-1/2,2)

the radius is 1/2 the diameter: 7/2

so the equation is

`"(x + 1/2)"^2` + `"(y-2)"^2` = `(7/2)^2`