KVPY Government Jobs Exams

A regular octagon is formed by cutting congruent isosceles right- angled triangles from the corners of a square. If
the square has side- length 1, the side - length of the octagon is

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KVPY Other Question

In triangle ABC, let AD, BE and CF be the internal angle bisectors with D, E and F on the sides BC, CA and AB
respectively. Suppose AD, BE and CF concur at I and B, D, I, F are concyclic, then ∠IFD has measure A circle is drawn in a sector of a larger circle of radius r, as shown in the adjacent figure. The smaller circle is
tangent to the two bounding radii and the arc of the sector. The radius of the small circle is