Hey, everyone! In this tutorial, I'll guide you through the steps of drawing an inscribed pentagon using just an unscaled ruler and a compass. Let's dive in:
Here's what you'll need:
- An unscaled ruler
- A compass
- A pencil
Step-by-step instructions:
1. Place a point at any location, labeled as O.
2. Use O as the center to draw a circle with any radius.
3. Draw a straight line through O, intersecting the circle O at points A and G.
4. With A as the center, draw a circular arc with AO as the radius, intersecting circle O.
5. With G as the center, draw a circular arc with GO as the radius, intersecting circle O.
6. Mark the two intersection points as F and H.
7. Using F as the center and FH as the radius, draw a circular arc intersecting the straight line, obtaining point I.
8. With IH as the radius and A as the center, draw a circular arc, obtaining two intersection points on circle O.
9. Using the two intersection points as centers and IH as the radius, draw two circular arcs on circle O.
10. Mark the intersection points on circle O as B, C, D, and E.
11. Connect AB, BC, CD, DE, and EA to form an approximate pentagon.
Note:
This pentagon is an approximation. The theoretical angles based on this method are: ∠DEA=∠EAB=∠ABC≈107.62°, ∠BCD=∠CDE≈108.56°.
There are more accurate methods, but they involve additional steps, which I'll share in future videos.
Thanks for watching!