Question

Below is the justification for the formula for area of a circle. Which word,
when placed in the blank, best completes this argument?
The circumference of a circle is given by the formula C = 2pi r, where r is the radius.
If the circle is divided into equally sized sectors, the sectors can be
rearranged to form a shape that approximates a parallelogram.
The base of the parallelogram is _____, and the height is r.
• Because the area of a parallelogram is equal to the product of the base
and the height, the area is pi r^2.
Therefore, the area of a circle is given by the formula pi r^2?.
A. The circumference, or 2 pi r^2 B. The radius, r C.Half of the radius or 1/2r. D. Half of the circumference, or pi r

Answer 1

Answer:r2

Step-by-step explanation:

Answer 2

The base of the parallelogram is πr.

What is a circle?

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the center. Equivalently, it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant.

According to the given problem,

Circumference of the circle = 2πr

The parallelogram has a circle at its base and it is equivalent to half of the circumference of the circle.

⇒ Base of the parallelogram = $\frac{2\pi r}{2}$

                                                = πr

Hence, we can conclude, the base of the parallelogram is πr.

Learn more about circles here: https://brainly.com/question/11833983

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