Illustrative Mathematics
Slopes and Circles
An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas...
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Circle of Pong
Students, in groups, use given materials to devise a way to deposit a ping-pong ball into a paper cup that is located in the middle of a 6-foot diameter circle, while standing outside the circle.
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Radius, Diameter and Area
Young scholars identify the radius and diameter of a circle. In this geometry lesson, students calculate the volume and area of a cylinder and circle. They relate the circumference of a circle to Pi.
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Ten Multiple-Choice Circle Problems
In this circle worksheet, students solve ten multiple-choice questions concerned with the area, radius, diameter, and circumference of a circle.  The solutions are provided by clicking on the "show answers" button on the bottom of...
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Circle Area, Perimeter and Circumference
Use this geometry skills practice activity to have learners solve seven problems that require them calculate the circle area, perimeter, and circumference of circles.
Virginia Department of Education 
Angles, Arcs, and Segments in Circles
Investigate relationships between angles, arcs, and segments in circles. Pupils use geometry software to discover the relationships between angles, arcs, and segments associated with circles. Class members use similar triangles to...
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Discovering pi
Tenth graders investigate the history of Pi and how it relates to circles. In this geometry lesson, 10th graders measure the circumference of a circle and the diameter of a circle. They relate these measurements to the number of Pi or 3.14
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Expressing Geometric Properties with Equations
Algebra and geometry are not interchangeable. Demonstrate why not with a series of problems that deal with the equations of circles and equations of lines that meet specific criteria. 
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...
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Circles
In this geometry worksheet, 10th graders determine the circumference and area of a circle given either the diameter or the radius. The one page interactive worksheet contains ten questions. Answers and hints are included. 
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Measuring the Diameter of the Sun
Ninth graders study the sun and its distance from Earth.  In this Sun's diameter lesson plan students examine how measurement data permits accurate measurement of the sun's diameter. 
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A Slice of Pi
Math pupils, by viewing a video, discover the history of pi and some of the applications of its uses in the world today. They conduct an experiment by measuring the diameter and circumference of various circular objects to calculate...
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Power of a Point
Learners solve problems by finding the radius or diameter. In this geometry lesson, students identify the tangent line of a circle and use properties of circles to find the radius. They relate circles to the real world.
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Circles Terminology Multiple Choice
In this circles worksheet, learners solve 10 multiple choice problems. Students answer questions about diameter and chord relationships, tangent lines to a circle, circumference, the Pi relationship, etc.
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THE AREA OF A CIRCLE
Students examine the relationship between circumference and diameter and how to use the formula to find the area of a circle.  In this circle lesson students divide into groups and complete an activity. 
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Discovering The Ratio Pi And The Diameter
Students relate the ratio of Pi to the diameter of a circle. For this geometry lesson, students investigate the relationship of the chord of the circle the the number Pi. They define ration, chord, circumference and diameter and find...
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The Surface Area of a Cylinder
Students measure the circumference of a cylinder. In this cylinder lesson plan, students use round container lids and flexible rectangles to measure the circumference of the cylinder. They put the shapes together to make their own...
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The Transit of Mercury
In this transit of Mercury learning exercise, students read about Earth and Mercury lining up so that Mercury passes across the disk of the sun from the Earth's view. Students solve 3 problems and they determine the diameter of the solar...
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Bubble Mania
Elementary schoolers practice measuring a soap bubble print. They follow a recipe to make a soap bubble solution. Pupils use the soapy solution to blow large bubbles with a plastic drinking straw until they pop leaving behind a circular...
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Covering and Surrounding
Students develop techniques for estimating the area of a circle and use ideas about area and perimeter to solve practical problems. For this area and perimeter lesson, students apply the concepts of perimeter and area to the solution of...
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Circles
In this circles worksheet, 10th graders solve 10 different problems that include determining the chords, secants, and tangents of circles shown. First, they determine 4 different line segments given a circle with secants and chords with...
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Circles and Ellipses
In this circles and ellipses instructional activity, students solve and complete 5 different types of problems. First, they write each equation in standard form. Then, students graph and label Write the equation of the ellipse whose...
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Circle Formulas
Tenth graders apply various circle formulas to determine radii, diameter, circumference, area, arc length, and sector area. The two page worksheet contains twenty-five problems. Answers are not provided. 
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Area and Circumference of Circles
Learners view two PowerPoints and practice computing the area and circumference of circles. They must use given formulas to make their computations. The lesson includes links to both PowerPoints as well as a worksheet (with answer key).