An irregular polygon does not have equal sides.

The vertices of an irregular polygon are not inscribed in a circle.
Types of Irregular Polygons
Depending on the number of sides, irregular polygons are classified as:
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Triangles, Quadrilaterals, Pentagons ...



Perimeter of an Irregular Polygon
The perimeter is equal to the sum of the lengths of the sides.
Area of an Irregular Polygon

The area is obtained by triangulating the polygon and adding the area of these triangles.
A = T1 + T2 + T3 + T4
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explains everything for a child or a confused student in their ap maths class who is lost in the more detailed mathematics
Draw all types of polygon and its area and perimeter class 7th NCERT course
I’m just curious if the area between the polygon and the circumscribed circle has a name.
https://www.superprof.co.uk/resources/academic/maths/geometry/plane/orthocenter-centroid-circumcenter-and-incenter-of-a-triangle.html
Draw all types of polygon and its area and perimeter