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

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

 Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Mathway solves algebra homework problems with step-by-step help!

 Click here to see ALL problems on Surface-area 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)   (Show Source): You can put this solution on YOUR website!First we have to find the area of the circle: We know that , so: 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: Where 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.