Let x = the length of one side of the square.
So, x² = the area of the square
Also, 4x = the perimeter of the square.

Let r = the radius of the circle.
So, (pi)r² = the area of the circle
Also, 2(pi)r = the circumference of the circle.

So, at the moment we're comparing the following quantities:
QUANTITY A: 4x
QUANTITY B: 2(pi)r

If the circle and square have the same area, we can write: x² = (pi)r²
Take the square root of both sides to get: x = (√pi)r

From here, we can take the x in Quantity A and replace it with its equivalent value of (√pi)r to get:
QUANTITY A: 4(√pi)r
QUANTITY B: 2(pi)r

Divide both quantities by 2 to get:
QUANTITY A: 2(√pi)r
QUANTITY B: (pi)r

Divide both quantities by r to get:
QUANTITY A: 2(√pi)
QUANTITY B: pi

At this point, it might be easiest to use the online calculator to evaluate the two quantities. When we do so we get the following approximations:
QUANTITY A: 2(√pi) ≈ 2(1.77) ≈ 3.54
QUANTITY B: pi ≈ 3.14

Answer: A

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