# 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 1 | Identify 2 | Identify 3

Regular or Irregular Polygon

Check whether the given polygon is regular or irregular.

Regular 1 | Regular 2 | Regular 3

Concave or Convex Polygon

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

Convex 1 | Convex 2 | Convex 3

Naming Polygon

Write the name by counting number of sides in each 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.

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.

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.

Algebra 1 | Algebra 2 | Algebra 3

Area and Perimeter

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.

## Basic Polygons

Types of Polygon: Chart

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

Color the Polygons

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

For more basic worksheets, please refer shapes worksheets.

## Angles in a Polygon

Sum of Interior Angles

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

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

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.

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.

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 360^{o} by number of sides of a 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.