Area of a Circle Teacher Resources

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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.
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 circumference, diameter and area of circles. They discuss pi as the relationship between the circumference and diameter of a circle and they show the geometric relationship of the area of a circle and the shape of a parallelogram.
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.
Students investigate how to input data into a TI. In this geometry lesson, students calculate the area of a circle and interpret the area through graphing. They identify quadratic regression as part of the experiment.  
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. The problem may be challenging for some learners to do on their own, so a group discussion would be beneficial as there multiple areas of measurement error. The answer key includes a detailed commentary that can be used as teacher notes for a lesson and to help guide the discussion. 
Use this lesson plan to help your geometers develop informal proofs of the circumference and area of a circle. Working in small groups, students rotate between three stations to complete hands-on activities that illustrate the relationships in the circumference and area formulas. The station activities include dissecting a paper plate, rolling a can to measure its circumference, and an exploration of relationships using an online circle tool applet. A reflection sheet is provided for each learner to record observations and information about each station's activity. The lesson concludes with learners using their notes to individually write an informal argument for the circumference and area of a circle.
Students discover the area of circles. In this circles lesson plan, students work to find the circumference and diameter of a circle. Students compare the relation of the area of a circle to a square.
Students develop techniques for estimating the area of a circle and use ideas about area and perimeter to solve practical problems. In this area and perimeter lesson, students apply the concepts of perimeter and area to the solution of problem. Students apply formulas where appropriate to identify, measure, and describe circles and the relationships of the radius, diameter, circumference, and area.
Students explore the area of a circle.  In this area of a circle lesson, students construct a circle and find the length of its' radius.  Students plot the length of the radius v. area of the circle of their circle with varying radius length.  Students find a quadratic function to model the scatter plot of radius v. area.  Students determine the domain and range of their graph.
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. Several supporting materials are attached.
Students calculate the area of a circle. In this geometry lesson, students discuss the area and relationship of a circle to the unit circle. They derive trigonometric values using the unit circle.
For this area of a circle worksheet, students are given the radius of a circle and the middle line of a triangle and they are to find the area. Students complete 12 problems.
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.
In this Geometry learning exercise, 10th graders find the area of a circle or semicircle and given the area, find the diameter of the circle.  The one page interactive learning exercise contains five multiple choice questions and is self checking. 
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.
High schoolers discover the area formula for circles from their knowledge of parallelograms.
Eighth graders review areas of plane figures, determine the relationship between the circumference and diameter of a circle, and Show the geometric representation of the area of a circle as the shape of a parallelogram.
Fifth graders experience a lesson to investigate the methods for finding the area of a circle. They use the drawing of segments in order to visualize how a circle can be proposed of many parts. Then students brainstorm in order to derive the formula.
Sixth graders discover what circumference is.  In this measurement instructional activity, 6th graders identify the radius and diameter of different circles. Students discover how to find the area of a circle using the radius and diameter.
Seventh graders use various resources to find the area of a circle.

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Area of a Circle