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


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

  1. 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 .

  2. Find at least one value of x so that the point  lies on the circle.


  3. Name other points on this same circle.

    Write the equation for this circle and find values of and that satisfy the equation.