Question 1004502
A circle with radius 10x is inscribed in a square.
Sketch that picture; label the radius as 10x; then the diagonal = 20x
Then each side is 20x/sqrt(2) = 10sqrt(2)x
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part a: Write an expression for the area of the circle.
Area = pi*radius^2 = pi*100x^2
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part b: Write an expression for the area of the square.
Area = side^2 = 100*2x^2 = 200x^2 
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part c: Form a simplified rational expression from the ratio of the two areas. Use the circle area as the numerator. 
Ans: [pi*100x^2] / [200x^2] = pi/2
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Cheers,
Stan H.
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