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In a cellular System a land area is divided into regular shaped cells, which can be hexagonal, square, circular or some other irregular shapes, although hexagonal cells are conventional. This is because there are some criteria for the cell shape, which are 1. Geometric shape 2. Area without overlap 3. Area of the cell And the eligible shapes for these criteria are Square, circle, equilateral triangle & hexagon. The Geometric shape & Area without overlap is satisfied by a hexagon,square, equilateral triangle as they can be fitted in a manner where there is no area of overlap. The circle on the other hand would overlap (which implies interference of signals) or leave gaps (which means loss of coverage in those areas) when not overlapping. When the area factor is considered a circle has the highest area however it does not satisfy the second criteria of overlap. Therefore we have to consider a shape which fits correctly and also has maximum area. For this purpose we shall compare the area of the remaining shapes to the area of circle to see which has the maximum area. The area of an equilateral triangle to a circle approx = 17.77% The area of a square to a circle approx = 63.7% The area of a hexagon to a circle approx = 83% Which means hexagon has the highest coverage area after a circle from the lot. Thus of the lot hexagon satisfies all the conditions which is why the shape of a cell is hexagonal in cellular network.
The answer depends on what information you do have about the pyramid.
If they were square they would take up more area and the edges may get in the way or take up space, also if you had a square head then it would be easier for the metal to get stripped or deformed which would make it harder for the tool to loosen it. If the head was round, the you couldn't get a tool to grip the edges of it, so you couldn't screw it in good or loosen it. Basically, hexagonal is the most efficient shape for a nut.
To find the perimeter and areas of complex shape without a grid you should divide the shape into simple shapes and find the area of each shape alone and then add up the areas all together to get the area of the whole shape. Example: If there is a shape that can be divided into 2 triangles and 1 rectangle then you will find the area of each triangle alone and then the area of the rectangle then add up all the areas together.
1 acre = 43,560 square feet = 4,840 square yardsAn acre of land can be round, oval, square, rectangular, triangular, hexagonal, or irregular. Knowing the area doesn't tell what the shape is. In fact, it can be any shape; so long as it has a total area of 43,560 square feet, it is one acre.