### Home > CCG > Chapter 12 > Lesson 12.1.3 > Problem 12-45

12-45.

Consider the circle that is centered at the origin and contains the point

Use geometry and the definition of a circle, but not the algebraic equation for a circle, to prove or disprove that the point

lies on this circle. Any line from the origin to the edge of the circle will be 3 units long.

Find the distance from the origin to

. Find at least one value of

*x*so that the pointlies on the circle. orName

other points on this same circle. Write the equation for this circle and find values of

*x*and*y*that satisfy the equation.