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Sketch a graph of x2 + y2 = 100. Homework Help ✎

  1. Is it a function?

  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?

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

Domain: −10 ≤ x ≤ 10
Range: −10 ≤ y ≤ 10

unit circle

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

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

partially shaded unit circle