Area of Irregular Polygons
An irregular polygon is a polygon whose sides and interior angles all are of a different measure. Scalene triangles, rectangles, kites, etc. are examples of irregular polygons. Calculation of the Area of Irregular Polygons involves splitting up an irregular polygon into a set of regular polygons so that formulas pertaining to the areas of regular polygons can be used to calculate the area of the given irregular polygon. Study the example given below to get an idea of how the area of an irregular polygon is calculated.
Example: Find the area of the following Irregular Polygon given below,
Solution:
Divide the whole polygon into smaller polygons as follows:
Now the given polygon has been divided into trapezium BCDE and triangle ABE.
Area of trapezium BCDE = 1/2 x Sum of parallel sides x Altitude
= 1/2 x 5 x 10 x 3
= 75 sq. m.
Area of triangle ABE = 1/2 x Base x Height
= 1/2 x 10 x (9 – 4)
= 1/2 x 10 x 5
= 25 sq. m.
Thus, required area = Area of trapezium BCDE + Area of triangle ABE
= 75 sq. m. + 25 sq. m
= 100 sq. m.
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Area of Regular Polygon
Area of a Polygon is the space covered inside the boundary of any polygon. Polygons are two- dimensional plane figures with at least three or more sides. It is to be noted that a polygon has a finite number of sides. The number of sides in a polygon determines its name. For example, a pentagon is a polygon that has 5 sides, a hexagon has 6 sides, a heptagon has 7 sides, and so on. Regular polygons are class
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