### Home > APCALC > Chapter 1 > Lesson 1.2.3 > Problem 1-54

1-54.

On graph paper, sketch the function

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. Calculate the area under the curve for

. Calculate the

.

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