Area of Shaded Region - Grade 8 Math
Calculate the area of shaded regions involving various geometric shapes for Grade 8.
Includes
Standards
Topics
Area of Shaded Region
Name:
Date:
Score:
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.
Related Worksheets
Three-Dimensional Figures Worksheet
This worksheet focuses on identifying, understanding properties, and calculating basic measurements of three-dimensional figures for Grade 8 math students.
Grade 8 Lateral Area Worksheet
Calculate the lateral surface area of various three-dimensional shapes, including cylinders, prisms, and pyramids.
Grade 8 Triangle Properties Worksheet
This worksheet covers fundamental properties of triangles, including angle sums, types of triangles, and the Pythagorean theorem, suitable for Grade 8 math students.
Grade 8 Triangle Properties Worksheet
This worksheet covers fundamental properties of triangles, including angle sums, types of triangles, and the Pythagorean theorem, suitable for Grade 8 math students.
Distance on the Coordinate Plane
Calculate the distance between two points on a coordinate plane using the distance formula and Pythagorean theorem.
Similar Polygons Worksheet
Grade 8 math worksheet focusing on understanding and identifying similar polygons, including finding missing side lengths and angles.
Grade 8 Area Formulas Worksheet
Reinforce understanding of area formulas for various geometric shapes including triangles, rectangles, circles, and trapezoids for Grade 8 math students.
Area of Mixed Shapes
Calculate the area of various composite shapes including rectangles, triangles, and circles.