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Polar Coordinate System definitions

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  • Polar Coordinate System
    A method for locating points using a distance from a central pole and an angle from a reference axis.
  • Pole
    The central reference point in this system, corresponding to the origin where the radius equals zero.
  • Polar Axis
    The fixed line from the pole, serving as the starting direction for measuring angles.
  • Radius
    The distance from the pole to a point, represented by the variable r in ordered pairs.
  • Theta
    The angle measured from the polar axis, indicating the direction of a point from the pole.
  • Ordered Pair
    A set of values (r, theta) specifying a point's location by distance and angle in this system.
  • Coterminal Angles
    Angles differing by multiples of 2π, which point to the same location in this coordinate system.
  • Reflection
    A transformation over the pole or axis, used when negative values for radius or angle are involved.
  • Rectangular Coordinates
    A system using x and y values to locate points, contrasted with the polar method.
  • Unit Circle
    A circle with radius one, used as a reference for measuring angles and understanding this system.
  • Quadrant
    A region of the plane divided by axes, relevant for interpreting the location of points.
  • Interval
    A specified range for angle or radius values, often used to restrict possible ordered pairs.
  • Positive Radius
    A value for r indicating movement away from the pole in the direction of the angle.
  • Negative Radius
    A value for r indicating movement away from the pole in the direction opposite to the angle.
  • Multiple Representations
    The concept that a single point can be described by various ordered pairs due to angle and radius manipulations.