Area of Shaded Region - Grade 8 Math
Calculate the area of shaded regions involving various geometric shapes for Grade 8.
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Area of Shaded Region
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Read each question carefully and calculate the area of the shaded region. Show all your work.
1. Find the area of the shaded region. The outer square has side length 10 cm and the inner circle has a radius of 3 cm. Use π ≈ 3.14.
2. A rectangular garden measures 12 meters by 8 meters. A circular pond with a diameter of 6 meters is in the center of the garden. What is the area of the garden NOT covered by the pond? Use π ≈ 3.14.
3. To find the area of a shaded region when a smaller shape is inside a larger shape, you generally the area of the smaller shape from the area of the larger shape.
4. A square has a side length of 8 cm. A triangle with a base of 8 cm and a height of 4 cm is cut out from it. What is the area of the remaining shaded region?
32 sq cm
40 sq cm
48 sq cm
56 sq cm
5. Calculate the area of the shaded region in the figure below. The outer rectangle has a length of 15 cm and a width of 10 cm. The unshaded inner rectangle has a length of 10 cm and a width of 6 cm.