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
Note:
This pentagon is a regular pentagon inscribed in the circle. According to this method, the theoretical angle for each of its 5 angles is ∠DEA = ∠EAB = ∠ABC = ∠BCD = ∠CDE = 108°.
The actual precision of the drawing depends on the accuracy of your drawing.
Step-by-step instructions:
1. Mark a point at any location and label it as O.
2. With point O as the center, draw a circle with any radius.
3. Draw a straight line through the circle from point O, intersecting at points A and G.
4. Using points A and G as centers, draw circular arcs with a radius greater than AO.
5. Connect the intersection points of the two circular arcs to form a line, obtaining the perpendicular bisector of line AG.
6. Mark the two intersection points on circle O as F and H.
7. With H as the center, draw a circular arc with OH as the radius, obtaining two intersection points on circle O.
8. Connect the two intersection points to form the perpendicular bisector of line OH.
9. Mark the midpoint of OH as I.
10. With I as the center, draw a circular arc with IA as the radius, intersecting at point J on line FO.
11. With A as the center, draw a circular arc with JA as the radius, intersecting at two points on circle O.
12. With each intersection point as the center, draw circular arcs with JA as the radius, intersecting at two points on circle O.
13. Mark the intersection points on circle O as B, C, D, and E.
14. Connect AB, BC, CD, DE, and EA to form a pentagon inscribed in circle O.
Thanks for watching!