In the figure square ABCD is inscribed in a circle. EFGH is also a square with points E, F on circle and G, H on side of bigger square. Find the ratio of the areas of the bigger square to the smaller square?

the ratio of the areas of the bigger square to the smaller square is 25

In rectangle ABCD, point G is the midpoint of AD, and points E and F trisect BC. The diagonal BD intersects GE at H and GF at I. If the area of ABCD is 10, what is the area of triangle HIG?

ABCD is a square of side length 1.

If EFGH are the points on its boundary such that AE=EB, 2BF=FC, 3CG=GD & 4DH=HA then what is the area of the quadrilateral EFGH?

If ABCD is a square of area 1. E, F are mid points of AB and BC respectively. What is the area of blue region?

In a square with a side length of 1, two quarter circles are drawn and a circle is inscribed between the quarter circles, as shown in the diagram. What is the radius of the inscribed circle?

ABCD is a square with side length R. Find the radius of the red circle in terms of R?