Area of Shaded Regions
Calculate the area of shaded regions in various geometric figures, including rectangles, squares, and circles.
Includes
Standards
Topics
Area of Shaded Regions
Name:
Date:
Score:
Read each problem carefully and calculate the area of the shaded region. Show your work for each problem.
1. Find the area of the shaded region. The outer rectangle measures 10 cm by 8 cm, and the inner unshaded square has sides of 4 cm.
Show your work:
2. A circular garden has a radius of 7 meters. Inside it, there is a smaller circular fountain with a radius of 3 meters. The area of the shaded region (garden excluding fountain) is square meters. (Use π ≈ 22/7)
3. A square piece of paper has a side length of 12 inches. A triangle is cut from one corner, with a base of 6 inches and a height of 4 inches. What is the area of the remaining shaded paper?
144 sq. in.
120 sq. in.
132 sq. in.
108 sq. in.
4. Calculate the area of the shaded region formed by a large rectangle with dimensions 15 ft by 10 ft, with two identical unshaded squares of side length 3 ft cut out from it.
Show your work:
5. If a square has a side length of 5 cm and a circle with a radius of 2 cm is inscribed within it (touching all sides), the shaded area (square minus circle) is equal to 25 - 4π sq. cm.
True
False