Area of a Circle Sector Worksheet
Calculate the area of circle sectors given radius and central angle, and solve related problems.
Includes
Standards
Topics
Area of a Circle Sector
Name:
Date:
Score:
Read each question carefully and calculate the area of the circle sector. Show all your work. Use π ≈ 3.14 where necessary. Round your answers to two decimal places.
1. Find the area of a sector of a circle with a radius of 10 cm and a central angle of 90°.
2. A circular pizza has a radius of 12 inches. If a slice of pizza represents a sector with a central angle of 45°, what is the area of one slice?
3. The formula for the area of a circle sector is A = (θ/360°) × πr², where θ is the and r is the of the circle.
4. If a sector has a central angle of 180°, it is also known as a .
5. Which of the following best describes a sector of a circle?
A line segment connecting two points on the circle.
A region bounded by two radii and an arc of the circle.
The distance around the circle.
A chord that passes through the center of the circle.
6. A circular garden has a radius of 20 feet. A sprinkler covers a sector of the garden with a central angle of 120°. What percentage of the garden's total area is covered by the sprinkler?
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.