Square X is inscribed in circle Y. If the perimeter of X is 100, what is the circumference of Y? Choose the correct choice from the following options:
A) 30√ 2π  B) 2√ 2π  C) 5√ 2π  D) 4√ 2π  E) 25√ 2π
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 = 25 sqrt(2) = diameter   =&gt; radius = 12.5 sqrt(2)   Circumference of the circle = 2pi r = 25 pi sqrt(2)   Answer is 25√ 2π.
<result>E</result>
Square X is inscribed in circle Y. If the perimeter of X is 100, what is the circumference of Y?