SOLUTION: What is the perimeter of a square which has the same area as a circle with circumference of 4π?
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Question 1064189: What is the perimeter of a square which has the same area as a circle with circumference of 4π?
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
What is the perimeter of a square which has the same area as a circle with circumference of 4π?
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Perimeter of circle = pi*d = 4pi
Diameter = 4
Therefore radius = 2
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Area of circle:: pi*r^2
Area = pi*2^2 = 4pi
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Area of square = s^2 where s is the length of each side.
Equation:
s^2 = 4pi
s = 2*sqrt(pi)
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Ans: Perimeter of square = 4*s = 4*2*sqrt(pi) = 8*sqrt(pi)
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Cheers,
Stan H.
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Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!
2pi*r=4pi
r=(4pi)/(2pi)
r=2
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s=pi*r^2
s=pi*2^2
s=4pi
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x, x, x, x, total sides of the square.
x^2=s
x^2=4pi
x=2*sqrt(pi)
-
-
4*2*sqrt(pi)
ANSWER:
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8*sqrt(pi)
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