Let's review the steps for inscribing a regular polygon in a circle:
| Steps | Using a Protractor | Using a Compass |
| 1 | Calculate the angle between adjacent vertices. \(\mathsf{ \alpha = \frac{360°}{n}}\) |
Calculate the length of each side of the regular polygon. \(\mathsf{ \text{l} = 2r \text{ sin}(\frac{360°}{n})}\) |
| 2 | Marks the points on the circle for each successive angle. | Marks the points on the circle for each successive side length. |
| 3 | Join the points on the circle with line segments. | Join the points on the circle with line segments. |
Now it's your turn to practice constructing a regular polygons inscribed in a circle. Click the Activity button below to download the Inscribed Figures Worksheet. Once your worksheet is complete, submit the assignment to your teacher.
