5.7735026918962... The formula for the area of a hexagon is A=.5ap, or
A=(1/2)ap, where A=area, a=apothem, and p=perimeter. This means that, because the area is 100, 100=.5ap, so 200=ap. Because in a regular hexagon the apothem is equal to the side length, what we are really saying here is that 200=6a2. Therefore, 33.333=a2, or a= about 5.77. This is the side length.
Not if the hexagon is a regular hexagon with sides of the same length as the sides of the square.
Yes, a square with sides measuring ten centimeters can completely fit inside a regular hexagon with sides also measuring ten centimeters. The hexagon's interior angles and the distances from the center to the vertices allow for a square to be inscribed within it, as the square's diagonal is shorter than the hexagon's width at its widest points. Specifically, the diagonal of the square is approximately 14.14 centimeters, which is less than the distance between opposite sides of the hexagon. Thus, the square can be accommodated within the hexagon without any overlap.
Yes, easily.
Yes. A regular tessellation can be created from either an equilateral triangle, a square, or a hexagon.
It is 665.1 sq inches.
Not if the hexagon is a regular hexagon with sides of the same length as the sides of the square.
Well, honey, let me break it down for you. A square with sides measuring 10 centimeters each can definitely fit inside a regular hexagon with sides also measuring 10 centimeters. The square's diagonal would be 14.14 centimeters, which is less than the hexagon's side length. So, technically, it's a perfect fit!
Such a hexagon is impossible. A regular hexagon with sides of 2 cm can have an apothem of sqrt(3) cm = approx 1.73.It seems you got your question garbled. A regular hexagon, with sides of 2 cm, has an area of 10.4 sq cm. If you used your measurement units properly, you would have noticed that the 10.4 was associated with square units and it had to refer to an area, not a length.
Yes, a square with sides measuring ten centimeters can completely fit inside a regular hexagon with sides also measuring ten centimeters. The hexagon's interior angles and the distances from the center to the vertices allow for a square to be inscribed within it, as the square's diagonal is shorter than the hexagon's width at its widest points. Specifically, the diagonal of the square is approximately 14.14 centimeters, which is less than the distance between opposite sides of the hexagon. Thus, the square can be accommodated within the hexagon without any overlap.
Abbreviations:A = Areap =Perimetera = apothemx = times (as in multiply)A = 1/2(ap)A = 1/2 (10.4 x 72)A = 1/2 (748.8)A = 374.4 square centimeters
Length of one side squared x 1.5 x square root of 3, for a REGULAR hexagon.
yes
It is 679 square metres.
For a regular hexagon it is: area_regular_hexagon = 3/2 × √3 × side_length²
Yes, easily.
Yes. A regular tessellation can be created from either an equilateral triangle, a square, or a hexagon.
Any "regular" polygon has all sides the same length. -- equilateral triangle -- square -- regular pentagon -- regular hexagon . . etc.