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.

1. A square with side length 10 cm has a circle inscribed within it. What is the area of the shaded region (the area of the square minus the area of the circle)? Use π ≈ 3.14.

2. A rectangular garden is 15 meters long and 8 meters wide. A rectangular path 1 meter wide surrounds a smaller rectangular flower bed inside the garden. The flower bed is   meters long and   meters wide. The area of the path (shaded region) is   square meters.

3. A circle has a radius of 6 cm. If a sector with an angle of 90 degrees is removed, what is the area of the remaining shaded region? Use π ≈ 3.14.

4. A large rectangle measures 20 inches by 12 inches. A smaller rectangle, 8 inches by 5 inches, is cut out from its center. What is the area of the remaining shaded region?

5. If a square has a side length of 's' and a circle with radius 'r' is removed from its center, the shaded area is s² - πr².