A super easy way of doing this (my geometry teacher is my source) Plot all of the points on a graph, and then, draw the lines until you get a triangle, then, count all of the squares. The amount of squares will be your area.
Answer:
Area = 77.1
Step-by-step explanation:
The are of a right triangle is

our base and height are 6 for both triangles, so we shall find the area of one of the triangles...

multiply this by 2

Now find the area of the whole circle

our radius is 6, therefore:

Finally, subtract the area of the two triangles from the total are of the circle. The difference left over is our answer

Consider this option/solution.
P.S. The method of solution is Gauss' method.