In this program we explore the properties of circles. We do this in the context of two real-world applications. In the first, we look at the design of the Roman Coliseum and explore how circular shapes could have been used to design this elliptical structure. In the second application we look at the Roman Pantheon, specifically its spherical dome, to see how the properties of chords and secants help clarify its unique design.

We visit Chaco Canyon in New Mexico to explore the circular kivas and in the process discover how circular buildings have been used to study the heavens.

The Roman Coliseum is a large elliptical structure. Yet, the Romans likely used circular arcs to build it. This segment explores the properties of circles and shows how arcs can be used to create elliptical shapes.

The Roman Pantheon is a domed structure that shows a keen awareness of the position of the sun throughout the year. The source of light from the top of the dome allows for the exploration of chords, inscribed angles, central angles, and intercepted arcs.

The formula for the Circumference of a Circle.

To see resources related to this topic click on the Related Resources tab above.

In this Algebra Application, students study the direction between diameter and circumference of a circle. Through measurement and data gathering students analyze the line of best fit and explore ways of calculating pi. The math topics covered include: Mathematical modeling, Linear functions, Data gathering and analysis, Ratios, Direct variation. This is a great back-to-school activity for middle school or high school students.

This set of tutorials provides 23 examples of solving for the area and circumferences of circles and sections of circles.

In this TI-Nspire Activity, use the Geometry and Graphing Tools to explore the ratio of Circumference to Radius as a linear function. 

Note: The Preview is a Google Slide Show and the download is a PPT. Subscribers to Media4Math can download resources.

This interactive crossword puzzle tests knowledge of key terms on the topic of circles.

Use this math game to review circles. This is a Memory-style game in which students must remember the location of pairs of identical images.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.

This is part of a collection of math examples that show how to area and perimeter for different geometric shapes.