Chapter 8 Review Packet
Name
1. Interior and Exterior angles.
Find the sum of the interior angles in a nonagon.
"- —;.,--,
)2A0 ___)
1 '60( 1 -
Find the measure of one interior aagle of a regular
16-gon?
■ k,
100 - 2. 2, .5
4b
1 S'o - TZ .S
6
Find the measure of one __....
exterior angle of a
regular 30-gon.
(00 ,
----!) L.)
A polygon has an interior angle sum of 1260°.
How many sides does the polygon have?
7..,(0 0=
)7
FO n-7----)
In --- -1
Each angle of a regular n-gon measures 165.6°.
How many sides does the polygon have?
t() 5, (L) -: L c63(\r∎ -7)
I
Write an equation and solve for x.
x
5 5)c kss
Write an equation and solve for x.
_......._
1(60(3)
-
125°
____
3(00
v)
.-
One exterior angle of a regular polygon measures
22.5°. How many sides does the polygon have?
--8x — lo°
10x
12x—
(.3,-1
125°
Ox +10'
7x + '
9x 4° 5 Lib ---
2x \- 3Ho
x ---- 1W
7) 0 -=- 52A--c3
)C. -14
(c) S \ c1,32 s
'66('-k) 7:7 ?--'
2. Calculate the perimeter and area of a regular 15-gon.
Perimeter
1 7-
lu
A
Figure A
n 2 \.)(.,\ '-
IL(61 -115) 7 ,;—\
L
If the perimeter of Figure A is 54m and the zoom factor
is 8, what is the perimeter of Figure B?
5 t-1 Y• Y.) m
b.
c I
Area =
1
3. Assume Figure A and Figure B, below, are similar.
a.
=
93'2- YY)
If the area of Figure A is 22m 2 and the zoom factor is 12,
what is the area of Figure B?
Figure B
22 -x 121
T.-
o V6 \n
4. If a pennant costs $20, what would a similar pennant cost that has lengths 3 times larger?
cost =
5. Calculate the area of the parallelogram below. Find the area and perimeter of a similar
parallelogram that has side lengths 2 times larger.
Perimeter original =
.72 u
20 in
A <60s)
Area original =
(O U(-4.
Perimeter larger =
-7Z
2.D
„.
[(o()
Area larger =
A2.1-
A
6. Answer the questions below. Show all work. Leave answers in terms of 7.
If the radius of a circle is 14 units, what is its
circumference? What is its area?
C
A
e
,
9 \W
If a circle has area 22511 units, what is its radius
and circumference?
- =1$ 11-
A
2•2:)
--111\CL
c = 2`6Tr u
(
A=
-
r
11 611 tA:1
If a circle has circumference 11007r units, what is
its radius and area?
/ pop?
5:7)
30.1\
I ‘5
If a circle has diameter 35 units, what is its
circumference and area?
Ok=
2p-
r, (30
r=
12:6
A
A= 2.h5.
A
17.5
'IT[
Vff
( } 1ST
C
iT
C=
3'57 uk..
A= 30(,) •257 U-?'
7. The city of Denver wants you to help build a dog park. The design of the park is a rectangle with
two semicircular ends with diameter of 60 ft.
601-1
a. The entire park needs to be covered with grass. If grass is sold by the
square foot, how much grass should you order? Round to the nearest
tenth.
Go t
A cw,U,
55 ft
ck)(57.)) -- 33°C)
A
007-
t- 3360
A ~-,woialc(---- z(6
(A
21 .,1-1
h. The park also needs a fence for its perimeter. Find its perimeter.
C CoOIT
pe,YlvtOr1( V(.‘
l `z6c6.c.0
c.
L
jno
i-VS-7-
(10
`'•(55, 5 r 1( o
A sturdy chain-linked fence costs about $8 per foot. flow much will a fence for the entire park
cost?
\\ 2375'6
pQykyikizAtY---:
d.
If you need to increase the size of the park with a zoom factor of 2. What is the area of the new
design? What is the perimeter?
A 6f,
col 7_7)-1
p
2w5
2456q
- -- 6°17
)-D
8. Find the arc length (circumference) and the area of the shaded sector.
a.
()
3
C
22_1c
u\-2-
90„15
area =
arc length =
3 H
.•7
area =
arc length =
I (.7, d c3 - 1A- (A.
9. Challenge: What is the area of the shaded region?
10 111
10 iii
110
(,.,() /5 it
A -Dcfu(ok.
p:k y
CAY-(\t,
A v:).1( ■ ,(,u_.:--- tuAT
A ..5rvia\I avcu = c IT
A
-,-kiy\kcliCAle
-
W
area =
/•.4
W2.
s/V12--
area =
l)
l (oir
c