Visualizing the Area of a Circle and its Formula
Skill:
Use models to develop formulas for finding areas of triangles, parallelograms, trapezoids, and circles in number and word problems.
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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.
Question ouverte 1
When the circle is rearranged and the number of parts increases, what shape do the rearranged parts start to look like?
Entrée de texte et de données mathématiques
Question ouverte 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?
Entrée de texte et de données mathématiques
Question ouverte 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?
Entrée de texte et de données mathématiques