How to Find the Number of Sides of a Polygon

••• Liquidlibrary/liquidlibrary/Getty Images

A polygon by definition is any geometric shape that is enclosed by a number of straight sides, and a polygon is considered regular if each side is equal in length. Polygons are classified by their number of sides. For example, a six-sided polygon is a hexagon, and a three-sided one is a triangle. The number of sides of a regular polygon can be calculated by using the interior and exterior angles, which are, respectively, the inside and outside angles created by the connecting sides of the polygon.

    Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15.

    Divide 360 by the difference of the angle and 180 degrees. For the example, 360 divided by 15 equals 24, which is the number of sides of the polygon.

    Divide 360 by the amount of the exterior angle to also find the number of sides of the polygon. For example, if the measurement of the exterior angle is 60 degrees, then dividing 360 by 60 yields 6. Six is the number of sides that the polygon has.


    • Subtracting the interior angle from 180 gives the exterior angle, and subtracting the exterior angle from 180 gives the interior angle because these angles are adjacent.

Related Articles

How to Find Degrees in Polygons
How to Find an Angle of a Hexagon
How to Calculate Sides of a Triangle
How To: Degree to Radian Conversion
How to Find the Cross Sectional Area of a Pipe
How to Calculate the Obtuse Triangle
How to Calculate the Linear Footage in a Radius
How to Find the Radius of a Hexagon
How to Calculate the Length of Octagon Sides
How To Calculate an Angle From Two Sides
How to Calculate the Sum of the Exterior Angles of...
How to Find the Radius of a Sector
What Are the Characteristics of a Pentagon, Hexagon...
How to Find the Area of Squares
How to Calculate Perimeter and Area Ratio
How to Find Measure of a Angle
How to Calculate the Apothem of a Polygon
How to Convert Square Dimensions to Round
How to Figure Degrees in an Octagon
How to Describe a Shape in Terms of Its Area and Perimeter

Dont Go!

We Have More Great Sciencing Articles!