Final answer:
The radius of OO is 5 units, calculated by dividing the given diameter XY (which is 10 units) by 2.
Step-by-step explanation:
The student asked to find the radius of OO if XY = 10. Assuming the context of the problem refers to a circle inscribed within a square, the length XY presumably represents the diameter of the circle (since the diameter is the longest straight line you can draw within a circle, it would be equivalent to the side of the square that circumscribes it).
Since the diameter (D) equals 2 times the radius (R), we can write the equation as D = 2R. Given that XY is the diameter and equals 10, we can set up the equation as 10 = 2R. Solving for R, we divide both sides by 2, which gives us R = 10 / 2 or R = 5. Therefore, the radius of the circle OO is 5 units.