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Sketch a graph of .

Circle, center at the origin, radius 10,

  1. Is it a function?

    Does each value on the graph of the function have only one corresponding value?

  2. What are its domain and range?


  3. Draw a central angle that measures radians. If you remove this wedge of the circle, how much area remains?

    See the unit circle graph below.
    What portion of the circle is shaded?

    Shaded sector, added to circle, horizontal side, is positive x axis, left side is radius in second quadrant. Central angle, labeled, 2 pi thirds.

    Since  is  of the total angle in a circle, the remaining area will be  of the total area.