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A regular pentagon is made up of 5 congruent isosceles triangles.
Find the area of the pentagon, given that the area of one triangle is 12.3 cm2.
Find the area of a regular pentagon with a perimeter of 20 units
and an apothem of 2.75 units.
A
A regular octagon with a perimeter of 32 cm has an apothem of 4.83 cm.
Calculate the area of the octagon.
A regular hexagon has a perimeter of 30 cm and an apothem of 4.33 cm.
What is the area of the hexagon?
Use the information given to calculate the area of each regular polygon.
a) Sid__e|ength= 8 mm
m OP= 12.31 mm.
b) m _AB_= 7.4 cm; m AP—= 11.38 cm;
m 08 = 6.29 cm.
A
a
DPc
c) Pe_nm'eter of A AOF = 12 units;
m OP: 3.46 units.
d) Pe_rim'eter of the octagon = 48.8 units;
m P0 = 14.72 units.
A rogulor polygon with side 6 our lus
on apothem of 5.20 cm. If the am is 93.60 cm’,
which regular polygon is it?
Copy and complete this table for regular polygons.
leh " Area________________ng__'
of Ion
S____;igt_ldo
of one .rs'osceles triole A___m_yg_roa
mm!)
v (mm -'
4mm!)
'
“a
REGULAR
POLYGONS
r4
‘3
Copy and complete this table for regular polygons using the formula Area = 2L”,
where p is the perimeter and athe apothem.
JlI‘
Write an expression for the area of a regular hexagon with:
a) a perimeter of 4s units and an apothem of 6 units.
b) a perimeter of (6c + 12) units and an apothem of 4p"nits.
J]
The area of a regular pentagon
with apothem 4.54 cm is 74.91 cm2.
Calculate the length of a side.
J2
Find the ratio of the area of
the regular decagon to the area
of triangle AOB.
43
The area of a regular hexagon is 93.5 cm2. lts perimeter is 36 cm.
Find the length of the apothem.
\14
A regular p’e'nta-gon has an area of 60 cm2 and an apothem of 4.064 cm.
The dimensions are doubled using the spider-web method. What happens to:
a) the perimeter?
45
b) the area?
Nicholas has a piece of wood with area 0.5 m2. Is this enough wood to build
the birdhouse with the parts shown in the plan below?
There are
approximately
9000 specre's
of birds in
the world.
ITINERARY 1o