Visualizing the Area of a Circle and its Formula

Visualizing the Area of a Circle and its Formula

Develop the formula for finding the area of a circle by breaking a circle into pieces and rearranging them.


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生徒用リンク

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

自由形式の質問1

When the circle is rearranged and the number of parts increases, what shape do the rearranged parts start to look like?

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自由形式の質問2

The formula for the area of a parallelogram is . If a circle is rearranged into many parts that appear like a parallelogram, what is the measure of the height and what is the measure of the base?

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自由形式の質問3

How does the formula for the area of a circle relate to the formula for the area of the parallelogram created by rearranging the sectors of the circle?

テキストと数式入力