(;) Semicolon Math: Circumradii and inradii

Let \(ABC\) be an acute triangle inscribed in circle \(\omega\). Let \(X\), \(Y\) and \(Z\) be the midpoints of arc \(AB\), arc \(BC\) and arc \(CA\), respectively. Suppose that the circumradius of \(ABC\) has length \(5\) and that the inradius of \(ABC\) has length \(2\). Find \((AX)(BY)(CZ)\).