I have been given a circle with a shaded triangle. Inside the circle is 10m. Inside the triangle is 60 degrees. I need to find the area of the shaded part.

We need more information.

Is the circle a circum-circle or an inscribed circle, does the circle intersect the triangle, and how?
Which part of the triangle is shaded?

You can help by drawing the diagram, but strictly according to your description. If you cannot do it, neither can others.