Regular N-Polygon Area Calculator

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Having 3 connected line segments, triangle is generally known 2d plane shape and it is a polygon. Square is a four sided regular polygon and a regular quadrilateral.

regular polygon area and internal angle

Polygon is a plane figure that is defined as finite number of straight line segments connected to form a closed chain.

Regular Polygon is a polygon with all angles are equal and all sides lengths are equal.

Input n – no. of sides and l – length of side

Internal Angle
Total Area

Polygon Names

Polygons are differently named after no. of sides it has.
triangle – 3 sides
quadrilateral – 4 sides
pentagon – 5 sides
Hexagon – 6 sides
Heptagon – 7 sides
Octagon – 8 sides
Nonagon – 9 sides
Decagon – 10 sides

Formula for Total sum of internal angles

It is No. of sides subtracted by two is multiplied by 180 degrees.

( n – 2 ) x 180

Above formula derived by drawing minimum no. of triangles to fill the polygon area. The no. of triangles fit into a polygon is always two less than its side count. Then total internal angles of polygon becomes total internal angles of all triangles drawn within polygon. As we know the internal angles sum of any triangle is 180 degrees, So total internal angles of polygon is the given formula.