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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A = one half (2πr) * r
Step-by-step explanation:
circumference of the circle represented by 2πr
circumference of the circle Divided between two parallel sides of parallelogram
Base = b = one half circumference
=> b = one half (2πr)
height of parallelogram would be Radius of circle
=> r = h
Area of Parallelogram = bh
A = one half (2πr) * r
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