Question 48
A hexagon is inscribed in a circle of radius $r$. Two of the sides of the hexagon have length $1$, two have length $2$ and two have length $3$. Show that $r$ satisfies the equation
$$
2 r^{3} - 7 r - 3 = 0
$$
$$
2 r^{3} - 7 r - 3 = 0
$$
MathNet 1993 — Part 01 Question 48
Math Olympiad Vault · MathNet 1993 — Part 01