Home > APCALC > Chapter Ch1 > 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
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 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