Direction: Examine the steps below and accomplish the tasks that follow.
How to Construct a Hexagon
We start with the given circle, center O.
Note: If you are not given the center, you can find it using the method shown
in Finding the center of a circle with compass and straightedge.
1. Mark a point anywhere on the circle. This will be the first vertex of the hexagon.
2. Set the compasses on this point and set the width of the compasses to the center
of the circle. The compasses are now set to the radius of the circle
3. Make an arc across the circle. This will be the next vertex of the hexagon. (It turns
out that the side length of a hexagon is equal to its circumradius - the distance
from the center to a vertex).
4. Move the compasses on to the next vertex and draw another arc. This is the third
vertex of the hexagon.
5. Continue in this way until you have all six vertices.
6. Draw a line between each successive pairs of vertices, for a total of six lines.
Done. These lines form a regular hexagon inscribed in the given circle.
Use a ruler and protractor to construct a regular hexagon whose side is 3 cm.
(Note: Interior angle of a regular hexagon 1209)



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