A square is inscribed in a quarter Circle in such a manner that two of its adjacent vertices lie on the two radii at an equal distance from the center, while the other two vertices lie on the circular arc. If the square has sides of length x, then the radius of the circle is in terms of side.

Question 1
A square is inscribed in a quarter Circle in such a manner that two of its adjacent vertices lie on the two radii at an equal distance from the center, while the other two vertices lie on the circular arc. If the square has sides of length x, then the radius of the circle is in terms of side.
Ans (root5/root2)x
Question 2
A square of area 160 sq. units  is inscribed in a quarter circle in such a manner that two of its adjacent vertices lie on the two radii at an equal distance from the center, while the other two vertices lie on the circular arc. Find the radius of circle. Ans 20

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