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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)

Respuesta :

halleyanthony33

Answer:

A =One-half(2πr)(r)

Step-by-step explanation:

i got it right!

The approximate representation of the area of a parallelogram like figure is as follows:

  • A = 1 / 2 (2πr) (r)

The circle is cut into 8 equal pieces and used to create a shape that resembles a parallelogram.

Properties of a parallelogram

  • Opposite sides are equal and parallel
  • opposite angles are equal
  • diagonal bisect each other

Circumference of a circle is the perimeter of the circle.

  • circumference = 2πr

Area of parallelogram = bh

Where

b = base

h = height

Therefore,

  • A = 1 / 2 (2πr) (r)

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