How to Drawing Pentagon with an Unscaled Ruler and Compass (Accurate Method 2)
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- Опубликовано: 4 фев 2024
- Hey, everyone! In this tutorial, I'll guide you through the steps of drawing an Inscribed Regular Pentagon using just an unscaled ruler and a compass. Let's dive in:
Here's what you'll need:
- Unscaled ruler
- Compass
- Pencil
Step-by-step instructions:
1. Mark a point at any location, labeled as O.
2. With O as the center, use any radius to draw a circle.
3. Draw a straight line through O, intersecting the circle at points A and G.
4. With A and G as centers, draw circular arcs greater than AO in radius.
5. Connect the intersection points of the two arcs to create the line AG; this is the perpendicular bisector of AG.
6. Mark the two intersection points on circle O as F and H.
7. With H as the center and OH as the radius, draw a circular arc intersecting circle O at two points.
8. Connect these two points to obtain the perpendicular bisector of OH.
9. Mark the center point of OH as I.
10. With I as the center and IO as the radius, draw a circle.
11. Connect I and G with a straight line.
12. Mark the two intersection points on circle O as J and K.
13. With G as the center and GK as the radius, draw a circular arc.
14. With G as the center and GJ as the radius, draw another circular arc.
15. Mark the intersection points on circle O as B, C, D, and E.
16. Connect AB, BC, CD, DE, and EA to form an inscribed regular pentagon within circle O.
Note:
This pentagon is a regular pentagon, and the theoretical angles based on this method are: ∠DEA = ∠EAB = ∠ABC = ∠BCD = ∠CDE = 108°.
The actual precision of the drawing depends on your accuracy in the actual drawing process.
Thanks for watching!
Magic! I just looked up and found out the interior angles are 108°. How this process can produce an angle which is 0.3 of 360° is a complete mystery to me.