Geometry
Regular Polygons
Name________________________
In Class Practice: Complete the following charts.
1.
Regular ABC inscribed in circle O.
C
B
Radius
a.
O
B
A
2.
Perimeter
Area
6
d.
12
Square WXYZ inscribed in circle O.
X
B
W
B
Radius
a.
O
B
Z
3.
AB
10
c.
B
B
AD
8
b.
D
Apothem
ZT
Perimeter
Area
7
c.
Y
B
ZY
5
b.
T
B
Apothem
10
d.
20
Regular hexagon ABCDEF inscribed in circle O.
D
B
E
B
O
B
F
B
A
G
B
Radius
C
B
AG
AB
a.
b.
c.
B
B
Apothem
d.
Perimeter
24
7
4 3
6 3
Area
HW#8 – Area of Regular Polygons
th
For problems 1-3, find the unknown quantity to the nearest 10 . Each figure is a regular polygon.
1.
A = _______
2. a ≈ ___________
2
A = 19,887.5 cm
3. s ≈ ___________
2
a = 38.6 cm; A = 4940.8 cm
38.6 cm
20.8 cm
a
s
107.5 cm
24 cm
th
For problems 4-8, draw a diagram and find the requested quantities. Round all answers to the nearest 10 .
4.
A radius of a regular triangle is 12 in. Find the perimeter and area of the triangle.
P = ________
A = ________
5.
A regular hexagon is inscribed in a circle whose radius is 10 cm. What is the length of the apothem?
Find the area of the hexagon.
a = ________
A = ________
6.
A square has a radius of 10 m. What is the length of a side? Find the area of the
square.
s = ________
A = ________
7.
An equilateral triangle has an apothem of 12 in. What is the perimeter of the triangle?
Find the area of the triangle.
P = ________
A = ________
8.
A regular hexagon has a perimeter of 36 cm. Find the length of the apothem.
Find the area of the hexagon.
a = ________
A = ________