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Polygon A polygon is a closed plane figure formed by three or more line segments, called the sides of the polygon. Each side intersects exactly two other sides at their endpoints. The points of intersection of the sides are known as vertices.

Important points:

Convex polygon: A polygon in which none of the interior angles is more than 180° is called a convex polygon.

Concave polygon: A polygon in which at least one of the interior angles is more than 180° is called a concave polygon.

Regular polygon: A polygon which has all its sides and angles equal is called a regular polygon.

Perimeter of a polygon: The perimeter of a polygon is the sum of the lengths of all its sides.

Area of a polygon: The region enclosed within a figure is called its area.

Diagonal of a polygon: The segment joining any two non-consecutive vertices is called a diagonal.

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Important Formulas:

(1). The sum of all the exterior angles = 360°

(2). Interior angle + corresponding exterior angle = 180°.

(3). The sum of the interior angles of a convex polygon, having n sides is 180° (n - 2) or 90° (2n - 4)

(4). The measure of an exterior angle of a regular n- sided polygon is 360°/n.

(5). The measure of the interior angle of a regular n-sided polygon is 180° (n - 2) /n

(6). The number of diagonals of in an n-sided polygon is ⁿc₂ - n or n(n-3)/2.