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$$\sigma_x, \sigma_y$$ and $$\tau_{xy}$$ are the rectangular stress components at a point. The radius of Mohr’s circle is
$$\sqrt{\sigma_x^2 - \sigma_y^2 + \tau_{xy}^2}$$
$$\sqrt{\left(\frac{\sigma_x + \sigma_y}{2}\right)^2+ \tau_{xy}^2}$$
$$\sqrt{\sigma_y^2 - \sigma_x^2 + \tau_{xy}^2}$$
$$\sqrt{\frac{(\sigma_y - \sigma_x)^2}{2}+ \tau_{xy}^2}$$
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