SOLUTION: each side length of the square is 20 inches, what is the diameter of the circle in inches. the square is inscribed in the circle and is tangent
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Question 1077298: each side length of the square is 20 inches, what is the diameter of the circle in inches. the square is inscribed in the circle and is tangent Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! each side length of the square is 20 inches, what is the diameter of the circle in inches. the square is inscribed in the circle and is tangent
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Sketch the figure.
Notice that the the diagonal of the square is the diameter of the circle.
That diagonal is the hypotenuse of a right triangle formed by
2 sides of the square.
Equation:
diag^2 = 20^2 + 20^2
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diag = sqrt[400+400]
diag = sqrt(800)
diag = 10sqrt(8)
diag = 20sqrt(2) inches
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Cheers,
Stan H.
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