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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?

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?

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

A circle is inscribed inside a trapezium ABCD such that it touches all 4 sides of this trapezium.

Given that the area of this trapezium is 4 and the diameter of the circle is 1, find the value of the ratio AB/CD.

If in the image points A,B,C,D,E are in a circle and ∠ABC=∠BCD=∠CDE=45. Which area is greater?