The radius of a circle circumscribed about a square:
R = a / √2; where a is the side of the square; = 2√2: √2 = 2 (cm);
The radius of a circle inscribed in a regular triangle:
R = b / 2√3, where b is the side of the triangle;
Hence b = 2 √3 R = 2 √ * 2 = 4 √3 (cm);
Regular triangle area:
S = √3 / 4 b² = √3 / 4 * (4 √3) = √3 / 4 * 12 = 3 √3 (cm²);
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