SOLUTION: An artist wants to place a piece of round stained glass into a square that is made of copper wire. See the figure. If the perimeter of the square is 24 ​inches, what is the a
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Question 1124896: An artist wants to place a piece of round stained glass into a square that is made of copper wire. See the figure. If the perimeter of the square is 24 inches, what is the area of the largest circular piece of stained glass that can fit into the copper square?
Found 2 solutions by Boreal, solver91311:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
The side of the square is 6 inches, and that is the diameter of the largest circle that can fit into the square. The radius of a circle is 3 inches.
The area of that circle is 9 pi square inches
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The measure of the side of a square with perimeter 
is 
. The radius of a circle inscribed in a square with side measure 
is 
The area of a circle with radius 
is 
}{2})
}{2}\)^2)
Substitute the given value for and do the arithmetic.
Given the problem as stated, I would leave my answer in terms of 
because that would be the exact answer and since the precision of your given measurement is to the nearest inch, any decimal approximation of the desired area must properly be stated to a precision no greater than the nearest square inch.
John
My calculator said it, I believe it, that settles it
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