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First we have to find the area of the circle:
We know that
Plugging this into the area formula we get:
Note: The Pi figure used was the calculator stored Pi, not the rounded 3.14 version. This will vary the results slightly if you were told to only use 3.14 in your calculations.
So, knowing the area of the circle, we can determine the lengths of the rectangle, where:
Since, a square is a rectangle, we can assume our rectangle is a square to simplify the problem:
represents both sides.
We can plug the circle's area into this equation and solve for the lengths of the sides.
Taking the square root of both sides yields:
So, the dimensions of the rectangle, or square to be specific in this case are:
5.31736 x 5.31736.