2001 AIME I Problem 13

In a certain circle, the chord of a d-degree arc is 22 centimeters long, and the chord of a 2d-degree arc is 20 centimeters longer than the chord of a 3d-degree arc, where d < 120. The length of the chord of a 3d-degree arc is - m + \sqrt {n} centimeters, where m and n are positive integers. Find m + n.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.