Because the area of a parallelogram is equal to the [tex]$\qquad$[/tex] of the base and the height, the area is the [tex]$\qquad$[/tex] of [tex]$\pi r$[/tex] and [tex]$r$[/tex], or [tex]$\pi r^2$[/tex].

Therefore, the area of a circle is given by the formula [tex]$\pi r^2$[/tex].

A. product, product
B. quotient, quotient
C. difference, difference
D. sum, sum



Answer :

To solve the problem, let's analyze the given conditions step-by-step.

1. Area of a Parallelogram:
The area of a parallelogram is given by the product of its base and its height. So, if "base" is [tex]\(b\)[/tex] and "height" is [tex]\(h\)[/tex], the formula for the area is:
[tex]\[ \text{Area}_{\text{parallelogram}} = b \times h \][/tex]
Therefore, the appropriate word to fill in the first blank is "product."

2. Area of a Circle:
The area of a circle is given by the product of [tex]\(\pi\)[/tex] (pi) and the square of its radius ([tex]\(r\)[/tex]). The formula for the area of a circle is:
[tex]\[ \text{Area}_{\text{circle}} = \pi r^2 \][/tex]
This can also be rewritten as the product of [tex]\(\pi r\)[/tex] and [tex]\(r\)[/tex], but more generally, the standard given formula is [tex]\(\pi r^2\)[/tex]. Thus, the appropriate word to fill in the second blank is also "product."

Considering these steps:

- The first blank should be filled with "product".
- The second blank should be filled with "product".

Given the multiple-choice options:

A. product, product
B. quotient, quotient
C. difference, difference
D. sum, sum

The correct choice is:

A. product, product

Therefore, inserting the words in the blanks, we get the following statement:

"Because the area of a parallelogram is equal to the product of the base and the height, the area is the product of [tex]\(\pi r\)[/tex] and [tex]\(r\)[/tex], or [tex]\(\pi r^2\)[/tex]. Therefore, the area of a circle is given by the formula [tex]\(\pi r^2\)[/tex]."