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The area of the shaded region can be gotten by multiplying the area of the circle by the subtended angle of the sector.
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The area of the shaded region is 1265.42 meters squared, since I subtracted the two totals of both the unshaded region and the shaded region of a circle.
You divide the area of the shaded region by the area of the full circle. For example, if the radius of the shaded region is 2 meters, the probability would be 4pi / 36pi, or 1/9. If the shaded region is a 'slice' of the circle, the chance is just the fraction of the circle which the 'slice' is.
If one fifth of a region is not shaded then 4 fifths of the region is shaded. Fifths means there are five parts.