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Side Of A Polygon – Definition, Examples | EDU.COMEDU.COMResourcesBlogGuidePodcastPlanBackHomesvg]:size-3.5">Math Glossarysvg]:size-3.5">Side of A PolygonSide Of A Polygon – Definition, ExamplesTable of ContentsSides of a Polygon Definition of Polygon Sides

A polygon is a flat, two-dimensional closed shape with straight sides. The sides of a polygon are the straight line segments that form its outer boundary. Each side connects two consecutive vertices (corners) of the polygon. Polygons require at least 333 straight sides, with common examples including triangles (333 sides), quadrilaterals (444 sides), and pentagons (555 sides). The points where two sides meet are called vertices or corners.

Polygons can be classified in different ways. Simple polygons have sides that don't cross each other, while complex polygons have intersecting sides. Regular polygons have all sides equal in length and all interior angles equal in measure, such as a square or equilateral triangle. Irregular polygons have sides of different lengths or angles of different measures, such as a rectangle (equal angles but unequal sides) or a rhombus (equal sides but unequal angles).

Examples of Finding Polygon Sides Example 1: Identifying Sides in an Octagon Problem:

How many sides are there in the given octagon figure?

Identifying Sides in an Octagon

Step-by-step solution:

Step 1, Look at the polygon and count the vertices (corners). There are 888 vertices labeled A, B, C, D, E, F, G, and H.

Step 2, Count the sides by following the boundary. The sides are AB, BC, CD, DE, EF, FG, GH, and HA.

Step 3, The total number of sides is 888, which makes this shape an octagon.

Example 2: Finding Sides from Sum of Interior Angles Problem:

Find the number of sides when the sum of interior angles of a polygon is 1,080∘1,080^{\circ}1,080∘.

Step-by-step solution:

Step 1, Recall the formula for the sum of interior angles of a polygon: Sum of interior angles =(n−2)×180∘= (n - 2) \times 180^{\circ}=(n−2)×180∘, where nnn is the number of sides.

Step 2, Plug in the given sum of interior angles: 1,080∘=(n−2)×180∘1,080^{\circ} = (n - 2) \times 180^{\circ}1,080∘=(n−2)×180∘.

Step 3, Solve for n−2n - 2n−2 by dividing both sides by 180∘180^{\circ}180∘: n−2=1,080∘180∘=6n - 2 = \frac{1,080^{\circ}}{180^{\circ}} = 6n−2=180∘1,080∘​=6.

Step 4, Add 222 to both sides to find nnn: n=6+2=8n = 6 + 2 = 8n=6+2=8.

Step 5, The polygon has 888 sides, which means it's an octagon.

Example 3: Finding Sides from Interior Angle Measure Problem:

Find the number of sides of a regular polygon when each interior angle is 60∘60^{\circ}60∘.

Step-by-step solution:

Step 1, Recall the formula for each interior angle of a regular polygon: Each interior angle =(n−2)×180∘n= \frac{(n - 2) \times 180^{\circ}}{n}=n(n−2)×180∘​, where nnn is the number of sides.

Step 2, Plug in the given interior angle measure: 60∘=(n−2)×180∘n60^{\circ} = \frac{(n - 2) \times 180^{\circ}}{n}60∘=n(n−2)×180∘​.

Step 3, Multiply both sides by nnn: 60∘×n=(n−2)×180∘60^{\circ} \times n = (n - 2) \times 180^{\circ}60∘×n=(n−2)×180∘.

Step 4, Divide both sides by 180∘180^{\circ}180∘: 60∘180∘×n=n−2\frac{60^{\circ}}{180^{\circ}} \times n = n - 2180∘60∘​×n=n−2.

Step 5, Simplify: n3=n−2\frac{n}{3} = n - 23n​=n−2.

Step 6, Multiply both sides by 333: n=3(n−2)=3n−6n = 3(n - 2) = 3n - 6n=3(n−2)=3n−6.

Step 7, Subtract 3n3n3n from both sides: n−3n=−6n - 3n = -6n−3n=−6, which gives −2n=−6-2n = -6−2n=−6.

Step 8, Divide both sides by −2-2−2: n=3n = 3n=3.

Step 9, The regular polygon has 333 sides, which means it's an equilateral triangle.

Comments(4)MCMs. CarterSeptember 17, 2025This definition was super clear and the examples really helped my kids understand polygons better. We even used it to count sides on shapes around the house—great resource!

NNatureLover89September 10, 2025I used the Side Of A Polygon definition with my kids during homework time, and it made explaining shapes so much easier! The examples were super helpful for visualizing irregular polygons too.

MCMs. CarterAugust 27, 2025I’ve used this page to explain polygons to my kids, and it really helped! The examples made it super easy for them to understand how to count and identify sides in different shapes.

NNatureLover85August 6, 2025This definition was super helpful for explaining polygons to my kids! We used the examples to count sides on everyday objects, and it really clicked for them. Thanks for making math so easy to understand!

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