Chapter 10 Practice Test
Remember, this "test" is only effective when it is treated like the real test. So, budget your time, skip around and
come back to the hard problems, struggle through the ones that you have trouble with so you can still give a
decent answer, and check your work once you are done. For the purposes of the review tomorrow, it may also be
helpful to indicate which problems (if any) you aren't 100% sure about.
1. Find the area of each figure described or shown.
a.
Regular hexagon with side length of 4 cm. Leave your answer in simplest radical form.
/70
(-17j
b. Isosceles triangle with legs each 20 feet long and a base 24 feet long.
--- M. 16'
v-\
c.
d.
W-4141 a 1-1°°
Z.
Kite below (Hint: Draw one additional segment)
e.
2_
(Gni-1F-3)
f.
5 cm
g.
6.5 cm
Find the area of the shaded region
z
rir 2.
ft 12..
D,r)
12_ 2— n (0
9 cm
cni
2.
In the figure below, the radius of the larger circle is 10 and the radius of the smaller circle is x.
Find the exact value of x that will make the area of the smaller circle equal to the area of the
shaded region.
n
(
lo rn
2-31
5-0
X
3. An equilateral triangle has an altitude that is 9 in long.
a. What is the length of each side in simplest radical form?
tgt)
b.
What is the area of the triangle?
2
"2-
4. Two sides of a rhombus form a 60° angle. The length of each side is 8. Find its area.
A-01
5. A trapezoid has a base of 17cm and a height of 8 cm. If its area is 118cm2, find the length of the other
base.
R
n
LA
co i-baTh1
2- Sr- avl
For 6 - 10, leave your answers in terms of pi.
6.
Find the circumference of 00.
)
C
1.
Find the area of Oa
N-72- nr
8.
Cl
(6)
Find the length of PQ.
14,1
2_
n
Uk-
G
'Tbc)
9.
Find the area of sector PNQ.
(cri
10. Find the area of the shaded segment in terms of pi and in simplest radical form.
11. If the circumference of a circle is 107, find the length of the radius. What is of the length of the radius if
the circumference is 10?
171(
e
X-112-9-1
kx
12. In a circle, a 75° arc has an arc length of 16.4 ft. What is the circumference of this circle?
IG
.in
3G0
160
= T 12
13. What is the probability that a randomly chosen point will be in the shaded region? 2, \
z:\
It -
TIC
0)71r
ct:\,46,61
14. The Marta Transit System trains in Atlanta arrive at a station every 15 minutes; they allow passengers to
board and depart 1 minute later. Assuming that you arrive at the Indian Creek station at a random time, what
is the probability that you will have to wait more than 5 minutes for a train to depart?
.5
9 lo
17, , A
11
15 16
1(0
bcpar
•
11•1••••
•1•Ml••••••
•
•
••••111111111•1•11•1•=1•11111•1•01••••••
•
•
•
•
••••••ImMINIMIN•11.=M•
1111,.••=1•
Don't forget everything you can do with right triangles!
Pythagorean Theorem
Special Right Triangles
Trigonometry
And make sure you know your formulas!
Parallelogram A=
Rhombuses
A=
Triangles
A=
Kites
A=
Trapezoids
A=
Regular Polygons
A=
Circles:
C=
2%Pr
A=
1Co-VOKA°
Probability =
(or
Idf)
Arc Length =
Sector Area =
'`1
L
••••• M. • EMI • INS