SOLUTION: What is the largest possible area of a square cut out of a circle with radius 1 cm? A π cm^2 b square root 2cm^2 c 2cm^2 d 1cm^2 e π /2 cm^2

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Question 271661: What is the largest possible area of a square cut out of a circle with radius 1 cm?
A π cm^2 b square root 2cm^2 c 2cm^2 d 1cm^2 e π /2 cm^2

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
What is the largest possible area of a square cut out of a circle with radius 1 cm?
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Draw a circle
Draw a square inside the circle.
The diagonal of the square is the diameter of the circle = 2 cm
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Let the sides of the square be "x".
Use Pythagoras to find "x":
Equation:
x^2 + x^2 = 2^2
2x^2 = 4
x^2 = 2
x = sqrt(2)
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Area of the square = (sqrt(2))^2 = 2 sq cm
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Cheers,
Stan H.
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A π cm^2 b square root 2cm^2 c 2cm^2 d 1cm^2 e π /2 cm^2