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You can make 36 triangles in the circle. This is because there are 9 triangles with 0 dots in between and 9 triangles with 1 dot inbetween. There are also 9 triangles with 2 dots inbetween and 9 with 3 dots inbetween. However there is no point in doing triangles with 4 dots in between because on the ither side of the circle there is 3 dots so you would be counting those triangles for the second time. The same goes for 5,6 and 7 dots inbetween. Therefore, if there is 4 sets if 9, you can make 36 triangles in the circle.