SOLUTION: Line segments AB and CD are both diameters of a circle that passes through the origin of a set of coordinates axes. If AB lies on the line whose equation is y=2x+3 and if CD lies o

1.  Find the intersection point of these lines.

    For it, solve the system of equations to get (x,y) = (1,5) as the intersection point.


       (I solved it mentally - hence, you can do the same . . . )


2.  Find the distance from the intersection point to the origin.

    It is  = .

    Thus the radius of the circle is  units.


3.  Then the area of the circle is  = .