Name -
Date
. "rd-4.!“
"
Area of Relar Polygons
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Î .
Calculate the area of each regular polygon.
b)
a)
cm
9
cm
Q
S cm
6 cm
Area:
2.
Area:
Complete this table for regular polygons.
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a
‘
3.
A regular octagon is made up of 8 congruent isosceles triangles. Find the area of this
octagon, given that the area of one triangle is 68.4 cm2.
Give the area of a
regular decagon with
apothem 12.3] cm
and 8 cm sides.
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l
:
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Group
Name
Date
5.
Give the area of a regular decagon with apothem 12.3] cm
and 8 cm sides.
6.
Find the length of the apothem for a regular pentagon with 4 cm sides
and an area of 27.5 cm’.
A regular hexagon has an
j/I/fi“
apothem of 4.33 cm and an
area of 64.95 cm’. Find the
perimeter.
8.
A hexagon is inscribed in a circle. If the radius
of the circle is 8 cm, and the area of the
hexagon is l66.32 cm2, determine the length
of the apothem.
v
9.
A regular polygon with 5 cm sides and an apothem of 6.04 cm has an area
of 120.8 cm2. Which regular polygon is it?
ID. A regular dodecagon (12 sides) has a perimeter of 156 cm and an apothem
of 24.26 cm. Calculate the area of the dodecagon.
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,
Name _
Group M Date
I I . Semi-circles are constructed on each side of a regular pentagon. The perimeter of the
pentagon is 20 cm. What is the area of the shaded sections?
12. A circle is inscribed in a square. Calculate the area of the square i'f the area of the
circle is 28.26 cm2 (1r - 3.14).
Area of square:
Î 3. Squares and equilateral triangles have
been placed around the edges of a regular
hexagon to form a regular dodecagon.
a) The regular hexagon is inscribed in a
circle with a diameter of 6 cm.
Determine the perimeter of the regular
dodecagon.
Perimeter:
b) The area of the hexagon is 23.4 cm’.
Calculate the area of the regular
dodecagon.
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