GC-11 Splitting The Circumference Of A Circle

The following animations shows how to split the circumference of a given circle in 6 equal fragments:

Needed analogue tools:

• Dividers

• Pencil

• Straight Edge

• Eraser

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Given:

• Circle A-B, Ø=D=10

Desired:

• 6x60°-Arcs

1. Set one leg (of the dividers) anywhere, choose circle's R (radius) with the other. Describe the circumference.

2. Keep dividers' R-spread, set one leg anywhere on the circumference.

3. "Cut" the circumference with the other.

4. Mark the cut/intersection as Point a.

5. Similarly to Step 2, set one leg on Point a, then make another cut - through the circumference.

6. Mark the intersection as Point b.

7. Following the pattern above (Step 2-3, 3-4), find the rest of the points - c, d, e, f.

8. Using the straight edge, connect the circle's center point to Point f.

9. In the same way, connect the rest of the "cut" points to the center point:

   1. O-a

   2. O-b

   3. O-c

   4. O-d

   5. O-e

10. Angle f-O-a is 1/6th of the circle's area. Arc f-O-a also splits circle's circumference length in 6 equal fragments.

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You can download the CAD and GH file here:

11_Splitting_The_Circumference_Of_A_Circle

.dwg

Download DWG • 52KB

11_Splitting_The_Circumference_Of_A_Circle

.zip

Download ZIP • 49KB