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!

Комментарии • 1

  • @flamencoprof

    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.