Question 81

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

Name: 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
Uploaded: July 3, 2020, 10:17 a.m.
Duration: 2 min 6 s
Description: 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

Solution

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