Answer and Step-by-step explanation:
First, we need to find out the circumference of the circle.
We know that the circle has a radius of 1, and that we are finding the circumference. We'll use the circumference equation of a circle.
2[tex]\pi[/tex]r
Plug in 1 for r.
[tex]2\pi (1)[/tex] = [tex]2\pi[/tex] = circumference of circle
Now, multiply the answer (the circumference) by 4 to get the perimeter of the square.
[tex]2\pi[/tex] x 4 = [tex]8\pi[/tex] = perimeter of square
Now, divide the perimeter by 4 to get what the side of the square is.
[tex]8\pi[/tex] ÷ 4 = [tex]2\pi[/tex]
Now, multiply [tex]2\pi[/tex] by [tex]2\pi[/tex] (side times side) to get the area.
[tex]2\pi[/tex] x [tex]2\pi[/tex] = [tex]4\pi[/tex]
The answer is A. [tex]4\pi[/tex]
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I hope this helps!
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