This is the step-by-step, printable version. If you PRINT this page, any ads will not be printed.
See also the animated version.
|After doing this||Your work should look like this|
|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.|
|6. Done. These lines form a regular hexagon inscribed in the given circle.|