Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is
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Question

Let ABCDEF be a regular hexagon with each side of length 1 cm. The area (in sq cm) of a square with AC as one side is

Accepted Answer

3 3 3. The length of the diagonals of a regular hexagon with side s are 3 s \sqrt{3}s 3 ​ s . Here length of AC = 3 s \sqrt{3}s 3 ​ s = 3 \sqrt{3} 3 ​ cms Hence area of the square = 3 2 \sqrt{3}^2 3 ​ 2 = 3 sq cm