Analytica Geometry-Conics?

Question

Please help.

Write an equation of the circle described:

The points (8,0) and (0,6) are endpoints of the diameter.

Answer 1

Find the distance between the given points. That distance is equal to the diameter, which as you know is twice the radius.

The midpoint of the diameter is the center of the circle. So find the midpoint of the line segment connecting the points (8,0) and (0,6).

Then the equation of the circle is

(x-a)² + (y-b)² = r²

where (a,b) is the center of the circle, and r is its radius.