Identify the number of polygons from the given figures:

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answer is B.

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Detailed Solution

1) If we see that it consists of line segments where the vertical angle is greater than

1800

. It is a concave polygon.
2) In this polygon, all the interior angles are less than

1800

, it is not a concave polygon.
3) This is a pair of concentric circles, hence they are not even polygons.
4) In this polygon, if we erase out the diagonals, the outer sides consist of a polygon where every alternate angle is greater than

1800

. It is a polygon.
5) In this figure we can see that it contains two arcs and is not even falling under the category of a polygon, hence are not even a polygon.
6) In this figure, the upper and lower part consists of two circular arcs, hence it is not a polygon or a concave polygon.
7) This figure also contains a circular arc that a polygon cannot have, hence it is not a polygon or a concave polygon.
8) This figure is not even a closed figure hence does not fall under either of the categories.
From the above results, we have 2 concave polygons.
Thus, option 2 is correct.

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