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Notes For Circles

  • (page 1) The set of all points equidistant from a special point C is called a ____________.

  • (page 2) To find the distance between the points (x1, y1) and (x2, y2), you must use the distance formula which is:
    d = _______________________________


  • (page 4) The equation of a circle centred at the origin is defined as: ______________________ in standard form.

  • (page 5) The equation of a circle centred at (h, k) is defined as: _________________________________ in standard form.

  • (page 6) If the value of h increases in the standard equation of a circle, the circle moves to the _________.

  • (page 6) If the value of k decreases in the standard equation of a circle, the circle moves __________.

  • (page 6) Decreasing the value of r in the standard equation of a circle results in a _____________ circle.

  • (page 7) The general form of a circle is:
    Ax2 + ___y2 + Cx + Dy + F = 0.


  • (page 8) To convert an equation in general form to an equation in standard form, you must _______________________________________.

  • (page 11) To obtain a circle from a double-napped cone, you must cut the cone _____________________.