# 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.

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Regular or Irregular Polygon

Check whether the given polygon is regular or irregular.

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

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.

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Naming Polygon

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

Regular:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | sheet 5

Irregular (convex):

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Irregular (concave):

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Mixed:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

## 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:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Moderate:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Difficult:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

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:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Moderate:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Difficult:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

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.

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Area and Perimeter

Area = 1/2 * Apothem * Perimeter

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

Easy:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Moderate:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

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:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Moderate:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

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:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Moderate:

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Interior Angle: Irregular Polygon

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

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

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.

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5

Unknown Angles: Algebra

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

Sheet 1 | Sheet 2 | Sheet 3 | Sheet 4 | Sheet 5