Area of Shaded Region Worksheet

Area of Shaded Region

Read each question carefully and calculate the area of the shaded region. Show all your work for full credit.

1. Find the area of the shaded region in the figure below, where the square has a side length of 10 cm and the circle has a radius of 5 cm.

2. A rectangle with dimensions 12 ft by 8 ft has a triangle cut out from one corner. The triangle has a base of 4 ft and a height of 3 ft. Calculate the area of the remaining shaded region.

3. If a circular garden with a radius of 7 meters is surrounded by a square path that is 2 meters wide on all sides, the area of the path is   square meters. (Use π ≈ 3.14)

4. A large circle has a radius of 10 cm. A smaller circle with a radius of 4 cm is removed from its center. What is the area of the remaining shaded region?

5. Calculate the area of the shaded region formed by two concentric squares, where the outer square has a side length of 8 cm and the inner square has a side length of 4 cm.