A right-angled triangle is inscribed in a given circle. What is the area of the given circle (in cm2 )?

I. The base and height of the triangle (in cm) are both the roots of the equation x2 - 23x + 120 = 0

II. The sum of the base and height of the triangle is 23 cm.

III. The height of the right-angled triangle is greater than the base of the same.