Question

below is the justification for the formula for area of a circle. which word, when placed in both blanks, best completes this argument?

• the circumference of a circle is given by the formula c = 2πr 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 half the circumference, or πr, and the height of the parallelogram is r.

• because the area of a parallelogram is equal to the ___ of the base and the height, the area is the ___ of πr and r, or πr².

• therefore, the area of a circle is given by the formula πr².

Explanation:

The area formula for a parallelogram is base times height. Here, the base is $\pi r$ and height is $r$, so area is product of them.

Answer:

product