|
How to construct a hexagon, a regular 6-sided polygon, inscribed in a given circle?
|
1. |
| Start with the given circle.
|
|
2. |
| Use the
construction of the horizontal and vertical centerlines to create these lines.
|
|
3. |
| Draw an arc with its center at the end-point of the horizontal centerline on the right, and passing through the intersection of both centerlines 2 (and therefore passing through the center of circle 1). The arc must intersect circle 1 twice.
|
|
4. |
| Draw the connection between the end-point of the horizontal centerline on the right and the upper intersection of arc 3 and circle 1.
|
|
5. |
| Repeat this for the lower intersection.
|
|
6. |
| Repeat step 3 for the end-point on the left.
|
|
7. |
| Repeat step 4 for the end-point on the left and the upper intersection of arc 6 and circle 1.
|
|
8. |
| Repeat step 7 for the lower intersection.
|
|
9. |
| Draw the connection between the upper end-points of line segments 4 and 7.
|
|
10. |
| Draw the connection between the lower end-points of line segments 5 and 8.
|
|
11. |
| Line segments 4, 5, 7, 8, 9 and 10 together form the hexagon to be constructed.
|
|