The Area of a Circle

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Trentkay

Basics on the topicThe Area of a Circle

After this lesson you will be able to derive and use the formula for the area of a circle.

The lesson begins with dividing the circle into equal pieces and rearranging them into a shape that resembles a rectangle. It leads to using the area of a rectangle approximation to discover the area of a circle. It concludes with using the area formula to calculate the area of circles.

Learn about the formula for the area of circles by helping Farmer Jack recover from his devastating loss!

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This video includes key concepts, notation, and vocabulary such as: radius (a line from a circle’s center to edge), diameter (a line passing through a circle’s center, connecting two points on the edge), circumference (the distance around a circle), and pi (π) (the ratio between a circle’s circumference and diameter).

Before watching this video, you should already be familiar with the area of a rectangle, and translating words into mathematical expressions/equations.

After watching this video, you will be prepared to learn how to determine the area of partial circle regions and composite shapes.

Common Core Standard(s) in focus: 7.G.B.4, 7.G.B.6 A video intended for math students in the 7th grade Recommended for students who are 12-13 years