Find the area of a square if the radius of the inscribed circle is 23; 18.
July 23, 2021
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.
1. If the radius r = 23 conventional units:
S = 4 * (23 ^ 2) = 4 * 529 = 2116 (conventional square units).
2. If the radius r = 18 conventional units:
S = 4 * (18 ^ 2) = 4 * 529 = 1296 (conventional square units).
Answer: 1. S = 2116 conventional square units; 2. S = 1296 conventional square units.
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