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

1-54.

On graph paper, sketch the function

. Shade *A*(*g*, 3 ≤*x*≤ 6), the region between*g*(*x*) and the*x*-axis, for 3 ≤*x*≤ 6. 1-54 HW eTool (Desmos). Homework Help ✎Use geometry to find this area. Hint: Draw in a radius to create two easier regions whose difference is the shaded region.

Find

*A*(*g*, 0 ≤*x*≤ 3).Find

*A*(*g*, −3 ≤*x*≤ 6).

You should recognize *g* as the equation of a semicircle, centered at the origin with radius 6.

View the eTool. The height of the triangle is 5 and the hypotenuse is 6. 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