a irregular figure is not a particular shape it may have two or more figures in to make a irregular figure
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If the figure is irregular, you can't calculate its area (for example) with some simple formula. You need to use integration - which basically means to divide the figure into many narrow strips, which you assume to be rectangles.
http://www.base2.it/img/floor.JPGAn irregular polygon is a closed planar figure which has sides that are not equal and/or angles that are not equal.
A sphere, an ellipsoid, a torus (donut), an irregular blob with no pointy bit.
An octagon can be either regular or irregular. A regular octagon in a 2-dimensional closed figure with eight sides, all of which are the same length. This means that all the angles are the same, too. An irregular octagon is a 2-dimensional closed figure with eight sides, but at least two of the sides are of different length. All sides can be of different lengths.
A four sided figure with no parallel sides is a trapezium, but it is also an irregular four-sided polygon, tetragon, quadrilateral, or quadrangle.