arc width vs. radius

$$width = r\cdot \mathbf{crd}(\theta) = r\cdot 2\ \mathbf{sin}\frac{\theta}{2}$$

$$ r = \frac{width}{2\ \mathbf{sin}\frac{\theta}{2}} $$

$$ \theta = \mathbf{arcsin}\left(\frac{width}{r\cdot 2}\right)\cdot 2 $$



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