The area of the shaded sector is shown. Find the radius of $\odot M$ . Round your answer to the nearest hundredth.

A circle with center at point M. Two points K and J are marked on the circle such that the measure of the angle corresponding to minor arc K J, at the center, is 89 degrees. Point L is marked on major arc K J. Area of minor sector is equal to 12.36 square meters.

The radius is about ____ meters.