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\dfrac{\theta}{2\pi} \\ &= \dfrac{r^2 \theta}{2} \end{align*} - \subsubsection*{Segments} - - \[ A = \dfrac{r^2}{2} \left( \theta = \sin \theta \right) \] - - \subsubsection*{Chords} + \[ \textbf{Segments: } A = \dfrac{r^2}{2} \left( \theta = \sin \theta \right) \] \begin{align*} - \operatorname{crd} \theta &= \sqrt{(1 - \cos\theta)^2 + \sin^2 \theta} \\ + \textbf{Chords: } \operatorname{crd} \theta &= \sqrt{(1 - \cos\theta)^2 + \sin^2 \theta} \\ &= \sqrt{2 - 2\cos\theta} \\ &= 2 \sin \left(\dfrac{\theta}{2}\right) \end{align*} -- 2.47.1