Shaded areas

The  exercise appears under the Geometry Math Mission. This exercise practices geometric reasoning via embedded shapes.

Types of Problems
There are two types of problems in this exercise:


 * 1) Find the area of the shaded region exactly: This problem has a diagram with two geometric shapes with one draw inside the other. The student is asked to find the area of the region found inside the bigger shape but outside the smaller. The answer is to be written exactly.Shadarea1.png
 * 2) Find the area of the shaded region approximately: This problem has a diagram with two geometric shapes with one draw inside the other. The student is asked to find the area of the region found inside the bigger shape but outside the smaller. The answer is to be written as a rounded decimal.Shadarea2.png

Strategies
Knowledge of a few of the area formulas (mentioned below) are encouraged to ensure success on this exercise.
 * 1) The area formulas required are rectangle (lw) square (s^2) and circle (pi*r^2).
 * 2) When the answer is exact, pi can be written as "pi."
 * 3) The "approximation" problems appear to only happen when a circle is being mixed together with a rectangle (or square). Furthermore, rounding seems to be to .01.

Real-life Applications

 * 1) Art problems, such as paint required to keep the Golden Gate Bridge orange, are an application of this exercise.