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

(R - d)^2 = R^2 - (R/2)^2 (R - d) =√(3/4)*R d = R(1 - (√3/2)) Radius of small circle = (R/2)(1 - (√3/2)).

In the image below there are two tangent semicircles. The side length of the square is 36cm.

What is the length of the radius of the yellow circle?

If in each square, the blue and red areas are equal then find out the ratio of radius between big and small circle?

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?

A circular sector with central angle equal to 120 as shown in figure. We want to place a square symmetrically in it as shown. If the radius of the circular sector is 100 units, what is the side length of the square ?

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?