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Area of Regular Polygons Worksheet

Calculate the area of regular polygons using various formulas and properties.

Grade 7 Math GeometryAreaArea of Regular Polygons
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Includes

2 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.G.B.6

Topics

mathgeometryareapolygonsgrade 7
7 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 your work where necessary.

1. What is the formula for the area of a regular polygon given its apothem (a) and perimeter (P)?

2. A regular hexagon has a side length of 6 cm and an apothem of 5.2 cm. Calculate its area.

a=5.2cm6cm

3. The apothem of a regular polygon is the distance from its center to the   of one of its sides.

4. A regular polygon with 8 equal sides is called an  .

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

a

Equilateral Triangle

b

Square

c

Rectangle

d

Regular Pentagon

6. A regular pentagon has a perimeter of 40 inches and an apothem of 5.5 inches. What is its area?

a=5.5in8in

7. All sides and all angles of a regular polygon are equal.

T

True

F

False