Question 133
Given the hyperbola $y = \frac{1}{x}$ and four circles $S_1, S_2, S_3, S_4$. The circle $S_1$ intersects the hyperbola at points $Z_1, Z_2, Z_3, Z_4$; $S_2$ intersects the hyperbola at points $Z_3, Z_4, Z_5, Z_6$; $S_3$ intersects the hyperbola at points $Z_5, Z_6, Z_7, Z_8$; $S_4$ intersects the hyperbola at points $Z_7, Z_8, Z_1, Z_2$. The radii of $S_1, S_2, S_3$ are equal to $R_1, R_2, R_3$.
Find the radius of $S_4$.
Find the radius of $S_4$.