SOLUTION: A square of side x is inscribed in a circle. Express the area A of the circle as a function of x.

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Question 693314: A square of side x is inscribed in a circle. Express the area A of the circle as a function of x.
Answer by lwsshak3(11628) About Me  (Show Source):
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A square of side x is inscribed in a circle. Express the area A of the circle as a function of x.
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Use sector area formula to solve:
area of one of 4 sectors=(1/2)r^2A
diameter of circle=(√2/2)x
r=√2/4)x
r^2=(2/16)x^2=(x^2)/8
A=π/2(central angle)
Area of circle=4*(1/2)(x^2/8)*π/2=πx^2/8