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.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 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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Open-ended question 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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Open-ended question 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?
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Prerequisite Resources
More from Formulas for Area of Triangles, Parallelograms, Trapezoids, and Circles
