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.
Includes
Standards
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 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
Related Worksheets
Secants in Circles Worksheet
Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.
Secant-Tangent Theorem Worksheet
Explore and apply the Secant-Tangent Theorem to solve for unknown lengths and angles in circles.
Eccentricity of Conic Sections
This worksheet focuses on understanding and calculating the eccentricity of conic sections, including ellipses, hyperbolas, and parabolas, for Grade 11 students.
Transformations: Vertical and Horizontal Stretch and Shrink
Explore vertical and horizontal stretches and shrinks of functions with this comprehensive worksheet for Grade 11 math students.
Grade 11 Math: Rotations Worksheet
This worksheet focuses on understanding and applying geometric rotations in a coordinate plane for Grade 11 students.
Two-Column Proofs Worksheet
This worksheet provides practice with constructing two-column proofs for geometric theorems at a Grade 11 level, covering postulates, definitions, and theorems.
Finding Missing Sides Worksheet
Grade 11 Math worksheet focusing on finding missing sides in right triangles using the Pythagorean theorem and trigonometric ratios.
Distance Between Two Points Worksheet
Practice calculating the distance between two points on a coordinate plane using the distance formula.