High School

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The diameter of a cookie is 2 inches. If [tex]\pi = 3.14[/tex], what is the area of the cookie, rounded to the nearest tenth?

A. [tex]39.4 \, \text{in}^2[/tex]

B. [tex]9.9 \, \text{in}^2[/tex]

C. [tex]3.1 \, \text{in}^2[/tex]

D. [tex]6.3 \, \text{in}^2[/tex]

Answer :

The cookie has a diameter of 2 inches. The first step is to find the radius by dividing the diameter by 2:

[tex]$$
r = \frac{2}{2} = 1 \text{ inch}.
$$[/tex]

Next, we use the formula for the area of a circle:

[tex]$$
\text{Area} = \pi r^2.
$$[/tex]

Substituting the values into the formula (with [tex]$\pi = 3.14$[/tex] and [tex]$r = 1$[/tex] inch):

[tex]$$
\text{Area} = 3.14 \times 1^2 = 3.14 \text{ square inches}.
$$[/tex]

Rounded to the nearest tenth, the area is:

[tex]$$
3.1 \text{ square inches}.
$$[/tex]

Thus, the area of the cookie is [tex]$\boxed{3.1 \text{ in}^2}$[/tex], which corresponds to option C.

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