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On graph paper, sketch the function . Shade , the region between and the -axis, for . .

  1. Use geometry to find this area. Hint: Draw in a radius to create two easier regions whose difference is the shaded region.

  2. Find .

  3. Find .

You should recognize as the equation of a semicircle, centered at the origin with radius .
View the eTool. The height of the triangle is and the hypotenuse is . Use these lengths to calculate the measure of the central angle.

Use the eTool below for parts (a) - (c).
Click the link at right for the full version of the eTool: Calc 1-54 HW eTool