A circle is inscribed in a Triangle of side 6cm. And a square is inscribed in the Circle. What is the area of square?  Pick one
A) 4 cm^2	B) 6 cm^2	C) 5 cm^2	D) 7 cm^2	E) 8 cm^2
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:6 cm^2
<result>B</result>
A circle is inscribed in a Triangle of side 6cm. And a square is inscribed in the Circle. What is the area of square?