Elitmus Exam Numerical Ability Geometry

A circle inscribes a Square ABCD. E,F,G.H are mid-points of Sides AB,BC,CD and DA respectively. I is a point on EF such that IF=1/3 EF. What is the ratio of area of circle to area of triangle HGI.

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Elitmus Other Question

7777 books are to be placed in shelves such that the 1st shelf carry 1 book 2nd shelf 3 3rd shelf 6 4th shelf 10 5th shelf 15 books nd so on... how many shelves the books will require???
1,3,6,10,15,21,28........................so on up to 300 terms then find the sum