- Circles: An intro to circles, radii, diameters, and chords
- Ellipses: What you get when you "stretch" a circle
- Area of a circle: Using circumference to find a circle's area
- Cavalieri's principle: Comparing shapes to find areas of the unusual ones
- Circumference and Pi: Find the distance around a circle (and then eat some pi)
- Size of the Earth: Use shadows to measure the Earth's circumference!
- Ellipse area: Calculate how many people can fit on the Ellipse in DC
- Areas of complex shapes: Add and subtract the area of simpler shapes!
Circle is a curve made up of all the points that are the same distance from the center.
Radius are any line segment between a circle and its center.
Chord is any line segment between two points on a circle.
Diameter is any chord that passes through the center.
Circumference is the distance around a circle.
Ellipse shape what you get when you stretch a circle.
Major axis is the longest segment through the center.
Minor axis is the shortest segment through the center.
Cavalieri principle, if two shapes have the same height, and matching widths everywhere along the height, then the shape have the same area.
Doubling the length of a shape doubles its area.
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