The hexagon will consist of 6 equilateral triangles of 3 equal sides of 10 cm and the apothem will divide the triangle into 2 right angle triangles with a base of 5 and an hypotenuse of 10 and so by using Pythagoras' theorem the height of the triangle which is the apothem works out as 5 Times Square root of 3 or about 8.66 cm rounded to 2 decimal places.
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.
In general no. A regular hexagon has the same length on all sides. Also, there are other hexagons with the same length on all sides that are not regular.
297 M
293.72
309.12
We know that the height of an equilateral triangle equals the product of one half of the side length measure with square root of 3.Since in our regular hexagon we form 6 equilateral triangles with sides length of 16 inches, the apothem length equals to 8√3 inches.
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.
Area in square units = 0.5*(apothem)*(perimeter)
In general no. A regular hexagon has the same length on all sides. Also, there are other hexagons with the same length on all sides that are not regular.
297 M
309.12
Given the perimeter of a regular hexagon, it is better to use the side length: 6 inches, rather than the apothem of 5.2 inches because the latter is he rounded value of 3*sqrt(3) which is 5.196152... rather than 5.2. Based on the length of the sides, the area is approx 93.53 sq inches. [The apothem would have given 93.67 sq inches.]
Not if the hexagon is a regular hexagon with sides of the same length as the sides of the square.
3.55
If the length measure of the sides s is given, first you have to find the length measure of the apothem a, after that use the formula of the area of a regular polygonA = (ans)/2, where n is the number of sides of the polygon, in our case this formula becomesA = 8as.
It is a hexagon whose sides are all the same length. It need not be a regular hexagon.
389.40