Area of a Circle Teacher Resources
Find Area of a Circle educational ideas and activities
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Measuring the Area of a Circle
When mathematical errors happen, part of the learning is to figure out how it affects the rest of your calculations. The activity has your mathematicians solving for the area of a circular pipe and taking into consideration any errors that may happen with measuring.
6th - 8th Math CCSS: Designed
Informal Proofs of the Circumference/Area of a Circle
Use this lesson plan to help your geometers develop informal proofs of the circumference and area of a circle. Working in small groups, learners rotate between three stations to complete hands-on activities that illustrate the relationships in the circumference and area formulas.
8th - 10th Math CCSS: Designed
Area of a Circle
A second installment in a series on circles, this production demonstrates the process of finding the area of a circle. As an introductory tool, it is effective. However, it does not explain the reasoning behind the formula because that information will be covered in a later lecture.
4 mins 7th - 10th Math
Task: Grain Storage
Farming is full of mathematics, and it provides numerous real-world examples for young mathematicians to study. Here, we look at a cylinder-shaped storage silo that has one flat side. Given certain dimensions, students need to determine the current storage capacity and design a new storage facility to use for an anticipated increase in production.
7th - 10th Math CCSS: Designed
The Circumference of a Circle and the Area of the Region it Encloses
Bring your math class around with this task. Learners simply identify parts of a given circle, compute its radius, and estimate the circumference and area. It is a strong scaffolding exercise in preparation for applying the formulas for the area and circumference of circles.
6th - 8th Math CCSS: Designed
Finding Circumference and Area of a Circle
Young geometers explore the concept of circumference and area of circles. They discuss what information is needed to find circumference and area. The resource employs several instructional methods: Frayer Model for Vocabulary, literature connections, Think-Team-Share, Mix-Freeze-Pair, a game of Red Rover, and more.
We are used to finding the area of a circle by plugging the radius into an equation. Here, learners are required to go further to find multiple areas and calculate the difference. They must detect a pattern in order to figure out the last step of the problem.
6th - 9th Math CCSS: Designed
Area of a Sector
This is an excellent lesson plan for having geometers derive the formula for the area of a sector of a circle. Learners work through a series of problems, the first of which is to use the known formula for the area of a circle to find the area of a circular pizza with a given diameter.
8th - 11th Math CCSS: Designed
How Do You Find the Area of a Circle if You Know the Radius?
There are basically two things you need to know to find the area of a circle. First, you need to use the correct formula. Second, you have to know the value of the radius. If you know these two things then all you have to do is plug the given value into the formula and do the math.
3 mins 6th - 8th Math
Area of a Circle When Radius is Given
Five problems provide practice for learners to find the area of a circle given the distance of the radius. Answers on the key use pi as a variable and do not include fully computed numeric answers. To reinforce basic multiplication facts for middle schoolers, I'd have them multiply the results completely.
5th - 8th Math
Areas of Geometric Shapes with the Same Perimeter
Here you have a triangle, square, hexagon, and circle, all with a perimeter of one unit. Eighth graders must attempt to find the area of each and arrange them in order from least to greatest areas. This is a terrific task for applying four different area formulas, beginning only with the value of the perimeter.
7th - 9th Math CCSS: Designed
Area of Circles
Using a basic formula one can find the area of a circle. Duane walks learners through the steps needed to determine the missing variable, plug in the known variable, and solve to find the area of a circle. He provides two different examples, one includes a circle with a known radius and one includes a circle with a known diameter.
2 mins 5th - 8th Math
Surface Area and Volume of Conics - Cylinders, Cones, and Spheres
This is a multi-faced unit that looks at circles, arcs, sectors, cylinders, cones, spheres, and hemispheres. The formulas for finding length, area, surface area, and volume are discussed with an eye towards an intuitive understanding. Vocabulary is also stressed.
8th - 11th Math CCSS: Adaptable
Deriving the Area of a Sector
Geometers use an activity about finding the area of a pizza to develop the formula for the area of a sector of a circle. They use the known formula for the area of a circle to find the area of a pizza with a given diameter. The worksheet gives step-by-step instructions that guide learners through finding the area of one piece of pizza when it's cut into equal pieces.
9th - 11th Math CCSS: Designed
Find the Area of a Circle
A great video for those curious learners who want to know where the area formula comes from. Use this third video in a series to see how the narrator takes a circle and rearranges it into a rectangular-shaped object to apply the length-times-width method of finding area.
5 mins 6th - 8th Math CCSS: Designed
Penn Museum: China Gallery
Invite your learners to take a closer look at the art and mathematical function of dome buildings as designed by the ancient Romans. In the next segment of this attractive worksheet set, your young historians will then learn about ancient silk production in China and its prevalence in textiles and trade.
6th - 12th Math CCSS: Adaptable