EngageNY
The Area of a Circle
Introduce learners to two methods to estimate the formula for the area of a circle. The first method uses a sector of a circle to form a rectangle, and the other uses grids to estimate the area. The problems in the 18th segment of a...
Concord Consortium
Circumscribed Polygon
Trigonometry teachers often go off on a tangent, and here's a worksheet that proves it! First, young mathematicians use a formula with tangent to prove a formula correct for area. Then, they draw conclusions about the area of a circle...
CK-12 Foundation
Restricted Domain and Range: Restricted Circle Radius and Area
There's no restriction to how much your class can learn about domain and range. Users of an interactive adjust the radius of a circle to see its effects on the area. They note how restrictions in the domain (radius) relate to...
Flipped Math
Unit 9 Review: Area of Polygons
It's time to show what you know! Individuals first review finding the area of polygons using the formulas from parallelograms to regular polygons. They then brush up on finding the area and circumference of circles, as well as reviewing...
EngageNY
Unknown Area Problems on the Coordinate Plane
Scholars determine distances on the coordinate plane to find areas. The instructional activity begins with a proof of the formula for the area of a parallelogram using the coordinate plane. Pupils use the coordinate plane to determine...
Texas Instruments
Area of Circles
Students explore circles. In this algebra/geometry lesson, students discover the formula for the area of a circle, as they investigate the ratio of the area of a circle to the radius^2.
Alabama Learning Exchange
How Big Can a Bee Be?
Mathematicians analyze the relationships between surface area and volume. They conduct Internet research, conduct various experiments, record the data in a spreadsheet, and graph the results and compare the rate of increase of surface...
Curated OER
Formulas Homework
In this circle formulas worksheet, high schoolers solve 20 fill in the blank problems. Students find the radius, diameter, circumference, area, arc length, and sector area of a circle.
Balanced Assessment
Star from Square
Quilting is not only beautiful and unique—it is a mathematical art. Show your classes how to design a quilting block while practicing area and circumference of circles. Scholars create a star from a square and then find the circumference...
Virginia Department of Education
Going the Distance
Estimate the value of one of the most famous irrational numbers. The hands-on instructional activity instructs classmates to measure the circumference and diameters of circles using yarn. The ratio of these quantities defines pi.
Curated OER
The Area of a Circle
Eighth graders find the circumference and diameter of several lids, show the relationship of the two measurements and derive the formula for finding the area of a circle. In this area of a circle lesson plan, 8th graders find...
Curated OER
Surface area of a cylinder
Students construct a cylinder made of paper with detachable bases. Then they are taught the formulas for finding the area of a curved surface and the total surface area of a cylinder. A great hands-on approach!
Curated OER
Circles - Word Problems
In this geometry problem solving worksheet, students answer 8 words problems based on their knowledge of circles, circumference, radius, diameter, and perimeters. They show their work on the sheet between problems.
Raytheon
Geometry: Circles
In this geometric circumference worksheet, 8th graders calculate the circumference of each of the 18 circles. The remaining pages of the worksheet include formulas and lesson ideas on finding the circumference of circles.
Curated OER
The Geometry of Circles
Learners review the parts of a circle, calculate the circumference and area of a circle, and create student-made tests on the geometry of circles using educational software.
Curated OER
Parachutes, Circles and Pi...Oh My!
Students explore different size circles to discover the relationship between diameter and circumference. In this circles and Pi lesson, students construct simple parachutes using circle patterns of varying sizes. Students predict the...
Curated OER
Area and Perimeter of Regular Polygons - An Extension
Pupils explore the relationship between area and perimeter of polygons.They measure the area and perimeter of regular polygons inscribed in a circle. Learners then discuss how as the number of sides of a regular polygon increase, the...
Curated OER
Area of 2D Shapes Homework
In this geometry worksheet, high schoolers solve the area of 2D shapes starting with squares, rectangles, parallelograms, triangles, rhombi, trapezoids, circles, and ending with area of shaded regions. There are 20 questions.
Curated OER
Comparing Area and Perimeter
Students solve problems by finding the perimeter and area of an enclosed area. In this geometry lesson, students differentiate between the area and the perimeter. They see how they relate and how to use it to maximize an enclosed area.
Curated OER
Volume and Surface Area of Polyhedrea
In this volume and surface area worksheet, students use given formulas to determine the volume and area of polyhedrea. This four-page worksheet contains examples, explanations and 32 problems. Answers are provided on the fourth page.
Math eBook
Circumference of a Circle
Save trees and practice calculating the circumference of circles with this online interactive task! Of course, if you want individuals to turn it in, you will still need to print copies. There are 20 problems to solve, all of which...
Curated OER
Area and Perimeter of Polygons
In this geometry worksheet, 10th graders calculate the perimeter and area using the specific formula for that polygon. There are 5 questions with an answer key.
Curated OER
Arc Length and Sector Area
In this arc length instructional activity, learners find the designated arc length of various circles. They determine the area of each sector. This four-page instructional activity contains 24 problems. Answers are provided on the last...
Curated OER
Find the Area
In this find the area worksheet, 10th graders solve and complete 18 different types of problems. First, they find the area of a figure with consecutive sides. Then, students find the area and perimeter of a square shown. They also find...
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