MathDB

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.

Problem Statement