square m is inscribed in circle n . if the perimeter of m is 20 , what is the circumference of n ?
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 = 5 sqrt ( 2 ) = diameter = > radius = 2.5 sqrt ( 2 ) circumference of the circle = 2 pi r = 5 pi sqrt ( 2 ) answer is e .
circumface(divide(sqrt(multiply(power(divide(20, const_4), const_2), const_2)), const_2))