# Find The Radius of The Circle ? If

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 centre, 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

- √5 X / √2
- √2 X
- 16 X /π + 4
- 2 X / √π

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**Answer : (2) **√2 X

**Explanation:-
**In the circle –

Diagonal of square = X √2 = radius of the circle

Then, the radius of the circle is √2 X.

Hence, the answer is (2) √2 X.