Area of a Circle Teacher Resources

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Use this lesson plan to help your geometers develop informal proofs of the circumference and area of a circle. Working in small groups, young scholars 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.
Learners discover the area formula for circles from their knowledge of parallelograms.
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.
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.
Sixth graders discover what circumference is.  For this measurement lesson, 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.
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.
Seventh graders use various resources to find the area of a circle.
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. The activity uses knowledge of the Pythagorean Theorem, area of a circle, properties of triangles, understanding of volume, unit analysis, and percentage increase.  
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.  
Students derive the formula for the area of a circle. They form a rectangle by partitioning a circle using construction paper and scissors.
Students discover the area of circles. In this circles instructional activity, 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 solve a math problem using area formulas of circles and squares. They read and discuss the problem, analyze images of badges, reconstruct the badge from the problem using circles and rulers, and share the solution with the class.
Students relate Pi to a circle. In this circles lesson, students identify the different properties of two dimensional objects. They relate Pi to the circumference, diameter and area of a circle .
In this Saturn's rings learning exercise, students read about the Spitzer telescope that detected a new ring around Saturn. Students solve 6 problems including determining the formula for the area of a circle, finding the volume of the new ring detected, determining the volume of Earth and calculating how many Earths can fit into the space of the new ring.
For this tangents, secants and chords worksheet, 10th graders identify and solve 48 different problems that include using 3 different theorems for defining circles. First, they determine the area of each circle with C as the center and a given tangent line. Then, students determine the lengths of the given line segments.
Students determine the circumference and area of circles. In this math lesson, students use a formula to figure circumference and area of a circle. Students use Pi ratio.
Students explore the concept of area of circles and rings. In this area of circles and rings lesson plan, students use construction paper and scissors to aid finding the area of circles and rings. Students examine the effect halving a radius of a circle has on the area of the circle.
Students use a geometric tool to help them determine the relationships between the diameter, circumference and area of a circle. They also determine the relationships of topics for 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 instructional activity, 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.

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Area of a Circle