Area of Shaded Region Worksheet

Calculate the area of shaded regions in various geometric figures, including rectangles, squares, and circles.

Grade 7 Math GeometryArea of Shaded Region

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2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.4CCSS.MATH.CONTENT.7.G.B.6

Topics

mathgeometryareashaded regiongrade 7

7 sections · Free to use · Printable

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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. 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.

28.26 cm²

56.52 cm²

84.78 cm²

113.04 cm²

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.

True

False