Which quantity is multiplied by [tex][tex]$\pi$[/tex][/tex] in the formula for the area of a circle?

A. [tex][tex]$d$[/tex][/tex]
B. [tex][tex]$r^2$[/tex][/tex]
C. [tex][tex]$r$[/tex][/tex]
D. [tex][tex]$d^2$[/tex][/tex]



Answer :

To determine which quantity is multiplied by pi [tex]$(\pi)$[/tex] in the formula for the area of a circle, we need to recall the formula for the area of a circle.

The formula for the area [tex]\( A \)[/tex] of a circle is given by:
[tex]\[ A = \pi r^2 \][/tex]

In this formula:
- [tex]\( \pi \)[/tex] (pi) is a constant, approximately equal to 3.14159.
- [tex]\( r \)[/tex] represents the radius of the circle.
- [tex]\( r^2 \)[/tex] denotes the square of the radius.

From the formula, it is clear that [tex]\( r^2 \)[/tex] is the quantity that is multiplied by pi [tex]$(\pi)$[/tex]. This means among the options given, the correct one is:

B. [tex]\( r^2 \)[/tex]

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