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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.
[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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