Question Number 88204 by behi83417@gmail.com last updated on 09/Apr/20
$$\boldsymbol{\mathrm{find}}\:\boldsymbol{\mathrm{radi}}\:\boldsymbol{\mathrm{of}}\:\boldsymbol{\mathrm{circle}}\left(\boldsymbol{\mathrm{s}}\right)\:\boldsymbol{\mathrm{that}}\:\boldsymbol{\mathrm{tangents}} \\ $$$$\boldsymbol{\mathrm{to}}\:\boldsymbol{\mathrm{corves}}\::\begin{cases}{\boldsymbol{\mathrm{y}}=\boldsymbol{\mathrm{x}}\pm\frac{\mathrm{1}}{\boldsymbol{\mathrm{y}}^{\mathrm{2}} }}\\{\boldsymbol{\mathrm{x}}=\boldsymbol{\mathrm{y}}\pm\frac{\mathrm{1}}{\boldsymbol{\mathrm{x}}^{\mathrm{2}} }}\end{cases} \\ $$