The question was extremely poorly worded since it gave no information on what S and a were. However, having figured that out, the answer is 166.3 square units.
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.
square, equillateral triangle, & regular hexagon
This hexagon is made of 6 equilateral trianges of side length 8 inches. Height of such a triangle is SQRT(8^2 - 4^2) = SQRT(48) = 6.93 inches. Area of one triangle = 4 x 6.93 = 27.71 square inches. Answer = 6 * 27.71 = 166.28 square inches
4 times the square root of 3. Use an equilateral triangle and 30-60-90 triangles.
An equilateral triangle, a square and a hexagon.
The area is 166.3 square inches.
The area is about 127.3 square inches.
The area of a regular hexagon with a 24-inch perimeter is about 41.57 square inches.
Any value from 0 to 166.3 square inches, depending on whether or not it is regular.
665.1 square units.
Perimeter in inches = LX = 60. A regular hexagon with a perimeter of 60 inches has 6 equal sides of 10 inches. A regular hexagon has 6 equal interior equilateral triangles So in order to find the area of the hexagon we must first find the area of one of its interior triangles and then multiply the result by 6. Area of a triangle = base times perpendicular height divided by 2. An equilateral triangle can be considered as being two right angled triangles joined together. So by halving the length of its base we can find its perpendicular height by using Pythagoras' Theorem: hypotenuse2-base2 = perpendicular height2. 102-52 = 75 square inches. Square root of 75 = 8.660254038 inches. Area of the equilateral triangle = 10*8.660254038/2 = 43.30127019 square inches. Area of the regular hexagon = 43.30127019*6 = 259.8076211 square inches. Therefore the area of a regular hexagon with a perimeter of 60 inches is 260 square inches which is correct to 3 significant figures.
Not if the hexagon is a regular hexagon with sides of the same length as the sides of the square.
166.30
Yes. A regular tessellation can be created from either an equilateral triangle, a square, or a hexagon.
It is 665.1 sq inches.
Triangle, square, hexagon.
Yes