square x is inscribed in circle y . if the perimeter of x is 64 , what is the circumference of y ?
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 = > radius = 8 sqrt ( 2 ) circumference of the circle = 2 pi r = 16 pi sqrt ( 2 ) answer is a .
multiply(diagonal(divide(64, const_4), divide(64, const_4)), const_pi)