Question : A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square are:

Option 1: $\sqrt3:4$

Option 2: $\sqrt3:8$

Option 3: $3\sqrt3:2$

Option 4: $3\sqrt3:1$

Question : A piece of wire 132 cm long is bent successively in the shapes of an equilateral triangle, a square, and a circle. The area will be largest in the shape of:

Option 1: Circle

Option 2: Equilateral triangle

Option 3: Square

Option 4: Equal in all the shapes

Question : If the circumference of a circle is equal to the perimeter of a square, and the radius of the given circle is positive, then which of the following options is correct?

Option 1: Area of the circle > Area of the square

Option 2: Area of the circle $\geq$ Area of the square

Option 3: Area of the circle < Area of the square

Option 4: Area of the circle = Area of the square