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Question 69b0d79d

Geometry and Trigonometry - Circles

The figure presents a circle with center O. Point A, lies on the upper left part of the circle. Point B lies on the upper right part of the circle. Point C is indicated at the bottom of the circle, directly below the center O. Line segment O A, line segment O B, and horizontal line segment A, B are drawn forming triangle O A, B. Vertical line segment O C is drawn.

Point O is the center of the circle above, and the measure of $angle O A, B$ is $30 degrees$ . If the length of $line segment O C$ is 18, what is the length of arc $A, B$ ?