A circle is inscribed in a Triangle of side 6cm. And a square is inscribed in the Circle. What is the area of square? Choose the correct choice from the following options.
A) 4 cm ^ 2	B) 6 cm ^ 2	C) 5 cm ^ 2	D) 7 cm ^ 2	E) 8 cm ^ 2

Rationale: the radius of the incircle in a equilateral triangle is a / 2 ( sqrt ) 3 where a = side of triangle = 6 cm so the diameter of the circle would be the diagonal of square so diagonal = 2 * a / 2 ( sqrt ) 3 = a / ( sqrt ) 3 so area of square = 1 / 2 * ( diagonal ) ^ 2 = 6 * 6 / 2 * 3 = 6 cm ^ 2 answer : b
Answer: B