Find the area of a square if the radius of the inscribed circle is 41.

A square is a regular quadrilateral in which all sides and angles are equal (all angles are 90 degrees).
The area of a square through the radius of a circle inscribed in it is found by the formula:
S = 4r ^ 2,
where r is the radius of a circle inscribed in a square.
By condition, the radius is r = 41 conventional units. Substitute this value into the formula and find the area of the square:
S = 4 * (41 ^ 2) = 4 * 1681 = 6724 (conventional square units).
Answer: S = 6724 conventional square units.