Respuesta :

recall, the Unit Circle is called like so because it has a radius of 1.

so, what's the arc for an angle of 2π/3 and a radius of 1?

[tex]\bf \textit{arc's length}\\\\ s=r\theta \quad \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=1\\ \theta = \frac{2\pi }{3} \end{cases}\implies s=1\cdot \frac{2\pi }{3}\implies s=\frac{2\pi }{3}[/tex]

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