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Regular Polygons
Contributed by: Walker
(Original author: Lehnert)

Find the measure of the central angle of

a regular octagon.

degrees
Equilateral Triangle =

Match the measure of a central angle with the 

correct regular polygon below.

Pentagon =
Hexagon =
Square = 
90o
?
120o
?
72o
?
60o
?

Find the apothem of the regular hexagon

below if it has a side length of 6 cm.

round to the nearest tenth.

apothem =
cm

Find the area of a regular pentagon if it has

a side length of 7 inches and an apothem of

length 4.5 inches.

in2

Find the apothem of a regular quadrilateral

with side lengths 10 in

inches

Find the apothem of a regular nonagon

with side lengths 12 ft. 

round to the nearest tenth.

ft

Find the area of a regular pentagon with 
side lengths 6 ft. 
Area = 
ft2

Find the apothem of a regular hexagon

with side lengths 20 ft. 

round to the nearest tenth.

ft

Find the area of a regular hexagon with side lengths 20 ft. round to the nearest tenth.
Area = 
ft2

Find the area of a regular triangles if it has

a side length of 8 inches and an apothem of

length 2.3 inches.

in2

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