Square X is inscribed in circle Y. If the perimeter of X is 64, what is the circumference of Y?  Choose the correct choice from the following options:  A) 16√ 2π  B) 8√ 2π  C) 22√ 2π  D) 12√ 2π  E) 9
square forms two right angled triangles.   Any time we have a right angle triangle inside a circle, the hypotenuse is the diameter.   hypotenuse here = diagonal of the square = 16 sqrt(2) = diameter   =&gt; radius = 8 sqrt(2)   Circumference of the circle = 2pi r = 16 pi sqrt(2)   16√ 2πnswer is 16√ 2π.
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Square X is inscribed in circle Y. If the perimeter of X is 64, what is the circumference of Y?