SOLUTION: If possible, find the dimensions of a rectangle that has the exact same area as a cricle with a diameter of 6.

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Question 224757: If possible, find the dimensions of a rectangle that has the exact same area as a cricle with a diameter of 6.
Answer by LtAurora(115) About Me  (Show Source):
You can put this solution on YOUR website!
First we have to find the area of the circle:
A=Pi%2Ar%5E2
We know that d=r%2F2, so:
d=6%2F2=3
Plugging this into the area formula we get:
A=3.14%2A3%5E2
A=28.2743
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:
A=l%2Aw
Since, a square is a rectangle, we can assume our rectangle is a square to simplify the problem:
A=s%5E2
Where s represents both sides.
We can plug the circle's area into this equation and solve for the lengths of the sides.
28.2743=s%5E2
Taking the square root of both sides yields:
s=5.31736
So, the dimensions of the rectangle, or square to be specific in this case are:
5.31736 x 5.31736.