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 = 2ar 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 ar, and the
height is
Because the area of a parallelogram is equal to the product of the base
and the height, the area is ara.
Therefore, the area of a circle is given by the formula A = 287.