The unit circle (a circle with radius 1) was adopted as a template for measuring angles: instead of dividing an angle into discrete parts (like the Babylonian 60 parts), the arc length enclosed by the angle on the unit circle is measured, so a 60° angle corresponds to 1/6 of the circumference, which equals π/3 radians.

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Unidentified Speaker — Truly Understand Trigonometry [ZU-cIz8dvqU]

Evidence Quote

we place our circle template with its center at the tip of the angle and measure the length of the ark that this angle encloses...the ark length corresponds to 1/6th of the entire circumference. That is 2 pi / 6 or π/3 in reduced form.

Source

Truly Understand Trigonometrysnsus
Created: 8/12/2026, 6:18:22 PM

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