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1-54.

On graph paper, sketch the function . Shade the area under the curve for . 1-54 HW eTool (Desmos). Homework Help ✎

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

    You should recognize g 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.

  2. Calculate the area under the curve for .

  3. Calculate the area under the curve for .

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