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Polygon Worksheets

Polygon worksheets contain identifying polygons based on sides, basic polygon activities and charts, area and perimeter of polygon, identifing interior and exterior angles and more.

Identifying Polygons

Polygon or not a Polygon

Write polygon or not a polygon. Each worksheet contains 12 problems.

Identify Polygon or not a Polygon

Identify 1 | Identify 2 | Identify 3

Regular or Irregular Polygon

Check whether the given polygon is regular or irregular.

Identify Regular or Irregular Polygon

Regular 1 | Regular 2 | Regular 3

Concave or Convex Polygon

Every interior angle in a convex polygon is less than 180o. Based on this property, classify the polygon as concave or convex.

Identify Concave or Convex Polygon

Convex 1 | Convex 2 | Convex 3

Naming Polygon

Write the name by counting number of sides in each polygon.

Name the type of polygon

Regular: Sheet 1 | Sheet 2 | Sheet 3

Irregular (convex): Sheet 1 | Sheet 2 | Sheet 3

Irregular (concave): Sheet 1 | Sheet 2 | Sheet 3

Mixed: Sheet 1 | Sheet 2 | Sheet 3

Area and Perimeter of Polygon

Perimeter of Regular Polygon

To find the perimeter of regular polygons, multiply the length of the side with number of sides.

Perimeter of Polygon

Easy: Perimeter 1 | Perimeter 2 | Perimeter 3

Medium: Perimeter 1 | Perimeter 2 | Perimeter 3

Hard: Perimeter 1 | Perimeter 2 | Perimeter 3

Finding Side Length from Perimeter

If the perimeter of a regular polygon is known, then the side length would be calculated by dividing perimeter with number of sides.

Side Length of Polygon

Easy: Side Length 1 | Side Length 2 | Side Length 3

Medium: Side Length 1 | Side Length 2 | Side Length 3

Hard: Side Length 1 | Side Length 2 | Side Length 3

Finding Unknown Sides: Algebra

Perimeter of each polygon is given. Side lengths were given in algebraic expression. Find the value of x and calculate the length of unknown sides.

Finding Unknown Sides

Algebra 1 | Algebra 2 | Algebra 3

Area and Perimeter

Area and Perimeter of Polygon

Area = 1/2 * Apothem * Perimeter

After finding perimeter, use the above formula to find the area of each regular polygon.

Easy: Area 1 | Area 2 | Area 3

Medium: Area 1 | Area 2 | Area 3

Finding Apothem

Each worksheet has 9 practice problems finding length of apothem. To find apothem, divide the area by perimeter and double the quotient.

Finding Apothem

Apothem 1 | Apothem 2 | Apothem 3

Basic Polygons

Types of Polygon: Chart

Cute charts that describe types of polygons. Available in both color and black-white.

Color Chart | B & W Chart

Color the Polygons

Basic worksheet to practice polygons. Suitable for K-3 children.

Coloring Polygons

For more basic worksheets, please refer shapes worksheets.

Angles in Polygon

Sum of Interior Angles

Sum of the interior angles = (number of sides - 2) * 180o

If the polygon has 5 sides, then the sum of the interior angles would be 3 * 180 = 540o

Sum of interior angles

Easy: Sum Angle 1 | Sum Angle 2 | Sum Angle 3

Medium: Sum Angle 1 | Sum Angle 2 | Sum Angle 3

Interior Angle: Regular Polygon

For regular polygon, each interior angle can be measured by dividing the sum of interior angles with number of sides of a polygon.

Interior angle of regular polygon

Easy: Interior 1 | Interior 2 | Interior 3

Medium: Interior 1 | Interior 2 | Interior 3

Interior Angle: Irregular Polygon

To find the missing angle, sum up the given angles and subtract it from the sum of interior angles.

Interior angle of irregular polygon

Missing Angle 1 | Missing Angle 2 | Missing Angle 3

Exterior Angle: Regular Polygon

Each polygon worksheet has 12 problems finding exterior angle of regular polygon. To find exterior angle, divide 360o by number of sides of a polygon.

Exterior angle of regular polygon

Exterior Angle 1 | Exterior Angle 2 | Exterior Angle 3

Unknown Angles: Algebra

Calculate the sum of interior angles; find the value of x to find the value of missing angles.

Unknown Angles

Angle 1 | Angle 2 | Angle 3