how can i draw a hexagon in a square?

Answer 1

I assume you need to draw a regular hexagon with maximum area inside the square. Otherwise, you could just construct a hexagon of any size, as long as it was inside the square. I also assume you have to do this only using a compass and a ruler.

Find the center of the square. You can find this by drawing two diagonals. They cross at the center of the square.

Now find the midpoint of one side. I assume you know how to bisect a line using a compass...

Set your compass the distance from the corner to this midpoint (a half the side). With your compass at the center of the square, draw a circle. It will touch the two sides (at the two midpoints) and then intersect the top and bottom at two additional points each. Altogether you have 6 points and they connect to form a hexagon.

I sketched a quick diagram to help you visualize this. The green dashed lines show finding the center of the square. The blue line is half the length of a side. When you draw the circle, it intersects at 6 points. Connect them and you have a hexagon in the square.

Answer 2

With a pencil?

There is room in a big square for lots of little hexagons.

Presumably you have some kind of contraints:

- convex hexagon?
- regular hexagon?
- each vertex of the hexagon is on an edge of the square?
- is an edge of the hexagon alolowed to lie along an edge of the square?

Answer 3

By drawing it small enough you can fit the hexagon in the square.
Too bad i cant tell you how to draw 1 though.

Answer 4

For any hexagon, just draw two lines intersection the same side at different points.

Answer 5

draw a light dashed circle in the square with 6 light dots. then use a ruler to connect them and you will get you lovely hexagon in your square after you erase your circle. good luck!