Area of Shaded Region Worksheet

This worksheet focuses on calculating the area of shaded regions in various geometric figures, including circles, squares, and triangles, suitable for Grade 11 math students.

Grade 11 Math GeometryArea of Shaded Region

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Includes

3 Short AnswerMultiple ChoiceFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.GPE.B.7

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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 if the side length of the square is 10 cm and the radius of the inscribed circle is 5 cm. Use π ≈ 3.14.

2. A rectangle has a length of 12 inches and a width of 8 inches. A triangle is cut out from one corner with a base of 4 inches and a height of 3 inches. Calculate the area of the remaining shaded region.

3. What is the area of the shaded region if the outer circle has a radius of 7 cm and the inner circle has a radius of 3 cm?

40π cm²

10π cm²

58π cm²

4π cm²

4. A square of side length 8 meters has four identical quarter circles cut from each corner. If the radius of each quarter circle is 2 meters, find the area of the remaining shaded region. Use π ≈ 3.14.

5. To find the area of a shaded region, you often need to subtract the area of the shape from the area of the shape.

6. The area of a shaded region can always be found by adding the areas of all the shapes involved.

True

False