The diagram shows one way to develop the formula for the area of a circle. Pieces of a circle with radius r are rearranged to create a shape that resembles a parallelogram.
A circle is shown. The circle is cut into 8 equal pieces. Pieces of the circle with radius r are rearranged to create a shape that resembles a parallelogram.
Since the circumference of the circle can be represented by 2πr, and the area of a parallelogram is determined using A = bh, which represents the approximate area of the parallelogram-like figure?
A = (2πr) (r)
A = (2πr) (2r)
A = One-half (2πr) (r)
A = One-half (2πr) (r2)
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