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Area of Regular Polygons Worksheet

Calculate the area of various regular polygons using their apothem, side length, and perimeter.

Grade 9 Math GeometryAreaArea of Regular Polygons
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Includes

2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSG.GMD.A.3CCSS.MATH.CONTENT.HSG.SRT.C.8

Topics

mathgeometryarearegular polygonsgrade 9
6 sections · Free to use · Printable
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Area of Regular Polygons

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Read each question carefully and calculate the area of the regular polygons. Show all your work.

1. The formula for the area of a regular polygon is A = ½ * a * P, where 'a' represents the   and 'P' represents the  .

2. A regular polygon with 6 equal sides and 6 equal angles is called a  .

3. Which of the following is NOT a regular polygon?

a

Equilateral Triangle

b

Square

c

Rectangle

d

Regular Pentagon

4. A regular hexagon has a side length of 8 cm and an apothem of 6.93 cm. Calculate its area.

6.93 cm8 cm

5. Find the area of a regular octagon with a side length of 5 inches and an apothem of 6.04 inches.

6.04 in5 in

6. A regular pentagon has a perimeter of 40 cm and an apothem of 5.5 cm. Calculate its area.

7. The apothem of a regular polygon is the distance from the center to a vertex.

T

True

F

False