What Is the Area of N-Sided Polygon?
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An N-sided regular polygon is a polygon of n side in which all sides are equal. For example regular pentagon, regular hexagon, etc. The area is the quantitative representation of the extent of any two-dimensional figure.
Is the formula for triangles the same for n sided polygons?
Since this is a general formula for any n-sided regular polygon, we would expect it to also apply to regular triangles (i.e. a 3-sided regular polygon). So, ask students if this is true? How can we show that this general expression is the same as the area expression for triangles on the chart above?
Are there any polygons that have their own area?
The basic polygons which are used in geometry are triangle, square, rectangle, pentagon, hexagon, etc. All these polygons have their own area. For the regular polygons, it is easy to find the area for them, since the dimensions are definite and known to us.
Why is the formula for area of a polygon called so?
The formula is called so because of the way we evaluate it. Let the input vertices be (0, 1), (2, 3), and (4, 7). Evaluation procedure matches with process of tying shoelaces.
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