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Math Problems
Grade 8
Circles: word problems
The diameter of a circle is
6
6
6
Inches. What is the circumference?
\newline
Give the exact answer in simplest form.
\newline
□
\square
□
inches
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The conical tank shown here is filled with olive oil weighing
41
l
b
/
f
t
3
41 \mathrm{lb} / \mathrm{ft}^{3}
41
lb
/
ft
3
. How much work does it take to pump all of the oil to the rim of the tank?
\newline
W
=
W=
W
=
□
\square
□
f
t
−
l
b
\mathrm{ft}-\mathrm{lb}
ft
−
lb
(Round to the nearest whole number as needed.)
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In circle
C
C
C
with
m
∠
B
C
D
=
6
0
∘
m\angle BCD=60^\circ
m
∠
BC
D
=
6
0
∘
and
B
C
=
17
BC=17
BC
=
17
units, find the length of
B
D
BD
B
D
. Round to the nearest hundredth.
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Find the
3
r
d
3^{\mathrm{rd}}
3
rd
partial sum of the series
∑
n
=
1
(
−
1
)
n
4
2
n
4
3
+
6
\sum_{n=1}(-1)^{n} \frac{4}{2 n^{\frac{4}{3}}+6}
∑
n
=
1
(
−
1
)
n
2
n
3
4
+
6
4
. Then use the alternating series error bound to find an upper and lower bound for the sum of the series. Round to three decimal places.
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Use a net to find the surface area of the cone to the nearest square centimeter. Use
3.14
3.14
3.14
for
π
\pi
π
. The surface area of the cone is about
□
\square
□
cm
2
\text{cm}^2
cm
2
. (Round to the nearest whole number as needed.)
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While running for class president, Estelle handed out a campaign button. The button has a radius of
4
4
4
centimeters. What is the button's area?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ square centimeters
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After stepping into a room with unusual lighting, Anita's pupil has a diameter of
6
6
6
millimeters. What is the pupil's area?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ square millimeters
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The button on Dustin's shirt has a diameter of
8
8
8
millimeters. What is the button's circumference?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ millimeters
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As a contestant on a televised game show, Tori gets to spin the big prize wheel, which has a radius of
3
3
3
yards. What is the prize wheel's area?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ square yards
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The lens of a telescope has a diameter of
8
8
8
feet. What is the lens's area?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ square feet
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Norma works at a lab with a huge circular particle accelerator. It has a diameter of
4
4
4
miles. What is the accelerator's circumference?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ miles
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A subway token has a radius of
1
1
1
centimeter. What is the token's area?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ square centimeters
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A cathedral has a large, circular stained-glass window. It has a diameter of
2
2
2
meters. What is the window's area?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ square meters
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Cecelia went on a hiking trip. The first day she walked
27
27
27
kilometers. Each day since, she walked
2
3
\frac{2}{3}
3
2
of what she walked the day before. What is the total distance Cecelia has traveled by the end of the
5
th
5^{\text{th}}
5
th
day? Round your final answer to the nearest kilometer.
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A monkey is swinging from a tree. On the first swing, she passes through an arc of
20
m
20\text{m}
20
m
. With each swing, she passes through an arc
4
5
\frac{4}{5}
5
4
the length of the previous swing. What is the total distance the monkey has traveled when she completes her
1
0
th
10^{\text{th}}
1
0
th
swing? Round your final answer to the nearest meter.
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Use the tangent ratio to find the missing leg of this right triangle. Estimate your answer to two decimal places.
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Student Application
\newline
5
5
5
/
62028
62028
62028
c
8
8
8
db
21183
21183
21183
a
07
07
07
cc
7
7
7
f
5
5
5
ee
8
8
8
ddfee
99
99
99
\newline
NET OF TOY BOX
\newline
the surface area, in square centimeters, of the toy box
\newline
Attempt
1
1
1
out of
2
2
2
\newline
c
m
2
\mathrm{cm}^{2}
cm
2
\newline
Sub
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Essentials
\newline
g
\newline
3
3
3
ro Grace Video
\newline
The Stock Market
6
6
6
.
\newline
Perimeter, Area, and Volume
\newline
Area of a circle
\newline
Find the area of a circle with radius
7
m
7 \mathrm{~m}
7
m
.
\newline
Use the value
3
3
3
.
14
14
14
for
π
\pi
π
, and do not round your answer.
\newline
Be sure to include the correct unit in your answer.
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? A design is made from a wood panel in the shape of a regular decagon, whose side measures
11
11
11
feet and apothem measures
16.93
16.93
16.93
feet. Inside the regular decagon shape there is a hole that is also shaped as a regular decagon, but whose side measures
2
2
2
feet and apothem measures
3.08
3.08
3.08
feet.
\newline
What is the area of the panel of wood without the hole? Round your answer to the nearest hundredth.
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?. A design is made from a wood panel in the shape of a regular decagon, whose side measures
11
11
11
feet and apothem measures
16
16
16
.
93
93
93
feet. Inside the regular decagon shape there is a hole that is also shaped as a regular decagon, but whose side measures
2
2
2
feet and apothem measures
3
3
3
.
08
08
08
feet.
\newline
What is the area of the panel of wood without the hole? Round your answer to the nearest hundredth.
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13
13
13
. In the
2016
2016
2016
NCAA Final Four Semifinal game between Villanova and Oklahoma, at a critical moment in the game, a ball was dropped by a Villanova player out of bounds, but of course, the refs chose to give it back to Villanova, instead of doing the fair, honest, honorable thing and give it to Oklahoma (the replay doesn't lie!). It was dropped from a height of
10
f
t
10 \mathrm{ft}
10
ft
, and each subsequent bounce is
65
%
65 \%
65%
of the previous. How far had it traveled when it hit the ground for the
4
th
4^{\text {th }}
4
th
time? (You can round your answer to the nearest tenth)
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The radius of a circle is
37
37
37
.
9
9
9
yards. What is the circle's area?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
□
\square
□
square yards
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2
2
2
. a. Name the solid
\qquad
\newline
b. Total Area of Bases
\qquad
\newline
c. Total Lateral Area
\qquad
\newline
d. Total Surface Area
\qquad
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Calculate the area and perimeter.
\newline
Round your answer to the nearest hundredth if necessary.
\newline
Area
=
=
=
□
\square
□
type your answer... squared in.; Perimeter
=
=
=
type your answer... in.
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Wilber wants to make the pond in his backyard bigger. It is currently a cone with a radius of
30
30
30
meters and a depth of
15
15
15
meters. He wants to increase the radius to
40
40
40
meters and the depth to
20
20
20
meters. How much more water will the pond hold, in thousands of cubic meters?
\newline
(Round to the nearest thousand cubic meters.)
\newline
□
\square
□
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17
17
17
. I have a round shape photo with an area of
400
π
i
n
2
400 \pi \mathrm{in}^{2}
400
π
in
2
. If I want to frame it, what will be the frame length? Don't round your final answer and use
3
3
3
.
14
14
14
for
π
\pi
π
.
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Latihan
\newline
Kerjakan soal-soal berikut.
\newline
1
1
1
. Berikut adalah data banyak penjualan buku tulis di koperasi sekolah selama
4
4
4
bulan.
\newline
\begin{tabular}{|c|c|c|c|c|}
\newline
\hline Bulan & Januari & Februari & Maret & April \\
\newline
\hline \begin{tabular}{c}
\newline
Banyak Penjualan \\
\newline
(lusin)
\newline
\end{tabular} &
35
35
35
&
42
42
42
&
55
55
55
&
48
48
48
\\
\newline
\hline
\newline
\end{tabular}
\newline
Buatlah diagram lingkaran dari data tersebut (dalam besar sudut).
\newline
2
2
2
. Perhatikan data banyak pengunjung perpustakaan selama lima hari pada tabel berikut.
\newline
\begin{tabular}{|c|c|c|c|c|c|}
\newline
\hline Hari & Senin & Selasa & Rabu & Kamis & Jumat \\
\newline
\hline \begin{tabular}{c}
\newline
Banyak \\
\newline
Pengunjung
\newline
\end{tabular} &
110
110
110
&
105
105
105
&
80
80
80
&
95
95
95
&
110
110
110
\\
\newline
\hline
\newline
\end{tabular}
\newline
Buatlah diagram lingkaran dari data tersebut (dalam persentase).
\newline
3
3
3
. Perhatikan data banyak makanan yang terjual di kantin sekolah pada diagram lingkaran di samping.
\newline
a. Apa makanan yang terjual paling banyak?
\newline
b. Apa makanan yang terjual paling sedikit?
\newline
c. Jika total makanan yang terjual adalah
300
300
300
porsi, tentukan banyak penjualan untuk setiap jenis makanan.
\newline
4
4
4
. Perhatikan data olahraga kegemaran siswa kelas
5
5
5
pada diagram lingkaran di samping.
\newline
(
248
248
248
) Matematika untuk SD/MI Kelas V
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What is the area of this figure?
\newline
Write your answer using decimals, if necessary.
\newline
□
\square
□
square yards
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Aropring Coteculat:
\newline
1
1
1
/
2924160
2924160
2924160
/
23228886
23228886
23228886
/d
2
2
2
ae
02044
02044
02044
c
1
1
1
c
0
0
0
c
73
73
73
b
9
9
9
a
6
6
6
e
8222
8222
8222
ffcf
4
4
4
ad
\newline
Area of a Circle (rounded)
\newline
Score:
\newline
0
0
0
//
1
1
1
\newline
Penalty: none
\newline
Question
\newline
Watch Video
\newline
Show Examples
\newline
The diameter of a circle is
13
in
13\,\text{in}
13
in
. Find its area to the nearest whole number.
\newline
Answer Attempt
1
1
1
out of
2
2
2
\newline
A
=
□
in
2
A=\square\,\text{in}^2
A
=
□
in
2
\newline
Submit Answer
Get tutor help
Mraphing Catoulati
\newline
th/
2924160
2924160
2924160
/
23228886
23228886
23228886
/d
2
2
2
ae
02044
02044
02044
cic
0
0
0
c
73
73
73
b
9
9
9
a
6
6
6
e
8222
8222
8222
ffcf
4
4
4
ad
\newline
Area of a Circle (rounded)
\newline
Score:
0
/
1
0 / 1
0/1
\newline
Penalty: none
\newline
Question
\newline
Watch Video
\newline
Show Examples
\newline
The diameter of a circle is
13
13
13
in. Find its area to the nearest whole number.
\newline
Answer Attempt
1
1
1
out of
2
2
2
\newline
A
=
A=
A
=
\newline
□
\square
□
in
2
^{2}
2
\newline
Submit Answer
Get tutor help
18
18
18
A. A tank has a height of
17
c
m
17 \mathrm{~cm}
17
cm
. Is it possible to place a sphere in the box with a diameter of
20
c
m
20 \mathrm{~cm}
20
cm
without it spilling water out? True or False (Round to the tenth place)
\newline
Enter the volume of the tank
\qquad
\newline
Enter the volume of the water
\qquad
\newline
). Enter the amount of water to fill the rest of the tank
\qquad
\newline
Enter the volume of the sphere
\qquad
\newline
If it is false how much volume of the water spills out?
\qquad
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E
F
undefined
\overrightarrow{E F}
EF
is tangent to the circle at
F
F
F
. Find the value of
x
x
x
.
\newline
Write your answer as a whole number or a decimal.
\newline
x
=
x=
x
=
Get tutor help
The diameter of a circle is
38
i
n
38 \mathrm{in}
38
in
. Find its area to the nearest whole number.
\newline
Answer Attempt
1
1
1
out of
2
2
2
Get tutor help
9
9
9
. The measures of two sides of a parallelogram are
28
i
n
28 \mathrm{in}
28
in
. and
42
42
42
in. If the length of the longer diagonal is
58
58
58
in., what are the measures of the angles at the vertices? Round to the nearest tenth of a degree.
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Home - Student Po
\newline
Home - Student
P
c
P_{c}
P
c
\newline
C Cever|Portal
\newline
Auth.dadeschools.net
\newline
i-Ready
\newline
Area and Circumference of a Circle - Instri
\newline
One of a tree's rings has a diameter of
20
c
m
20 \mathrm{~cm}
20
cm
.
\newline
What is the circumference of the tree's ring? Use
3
3
3
.
14
14
14
for
π
\pi
π
.
\newline
C
=
C=
C
=
\newline
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
Home - Fort Worth
\newline
beans
\newline
! Kahoot!
\newline
Building an Emotion
\newline
Inbox (
34
34
34
)
\newline
MyIXI
\newline
Learning
\newline
Assessment
\newline
V.
6
6
6
Area and perimeter of semicircles and quarter circles
2
M
P
2 \mathrm{MP}
2
MP
\newline
The radius of a quarter circle is
2
2
2
feet. What is the quarter circle's perimeter?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
□
\square
□
feet
\newline
Submit
Get tutor help
Score:
0
0
0
/
5
5
5
\newline
Circumference (Level
2
2
2
)
\newline
Question
\newline
Exam
\newline
The circumference of a circle is
18
π
c
m
18 \pi \mathrm{cm}
18
π
cm
. Find its diameter, in centimeters.
\newline
Answer
\newline
Attempt
2
2
2
out of
2
2
2
\newline
d
=
d=
d
=
\newline
c
m
\mathrm{cm}
cm
\newline
Submit Answer
\newline
6
6
6
\newline
Apr
14
14
14
\newline
3
3
3
:
03
03
03
Get tutor help
The radius of a quarter circle is
1
1
1
kilometer. What is the quarter circle's perimeter?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
□
\square
□
kilometers
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Use the information given in the figure to find the length
A
D
A D
A
D
. If applicable, round your answer to the nearest whole number.
\newline
The lengths on the figure are not drawn accurately.
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:om/math/geometry/area-of-regular-polygons
\newline
Clever I Portal
\newline
DMAC Solutions
\newline
Home
\newline
Pesticides and Herb
\newline
S.
6
6
6
Area of regular polygons
R
73
R 73
R
73
\newline
A regular hexagon with center
C
C
C
is shown below.
\newline
What is the area of the hexagon?
\newline
Round your answer to the nearest tenth.
\newline
□
\square
□
square kilometers
\newline
Submit
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Quiz : HW Due Tues
4
4
4
/
9
9
9
(Area of Circles)
\newline
The diameter of a circle is
38
38
38
centimeters. What is the circle's a Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
□
\square
□
square centimeters
\newline
Save answer
\newline
Company
\newline
Blog
\newline
Help center
\newline
User guides
\newline
Tell us what you think
\newline
Testin
\newline
1
1
1
) LT LEATMNING
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Suppose the radius of a circle is
2
2
2
units. What is its circumference?
\newline
Use
3
3
3
.
14
14
14
for
π
\pi
π
and enter your answer as a decimal.
\newline
□
\square
□
units
Get tutor help
Lateral Surface Area (LSA) of a Triangular Prism
\newline
L
S
A
=
(
S
1
+
S
2
+
b
)
×
1
L S A=\left(S_{1}+S_{2}+b\right) \times 1
L
S
A
=
(
S
1
+
S
2
+
b
)
×
1
\newline
here,
\newline
S
1
,
S
2
S_{1}, S_{2}
S
1
,
S
2
and
b
=
b=
b
=
egdes of the base I = length of the prism
Get tutor help
Penalty: none
\newline
Question
\newline
Watch Video
\newline
Show Examples
\newline
Nasim is flying a kite, holding his nce of
2
2
2
.
5
5
5
feet above the ground and letting all the kite's string play out. He measuic ur elevation from his hand to the kite to be
28
28
28
If the string from the kite to his hand is
105
105
105
feet long, how many feet is the kite above the ground? Round your answer to the nearest hundredth of a foot if necessary.
\newline
Answer Attempt
1
1
1
out of
2
2
2
\newline
□
\square
□
feet
\newline
Submit Answer
\newline
Copright
2024
2024
2024
DeltaMathcom, All Rights Reserved. Privacy Policyl Terms of Service
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centimeters. Find the radius.
\newline
iches. Find the diameter.
\newline
(Sect
\newline
gure. (Section
8
8
8
.
2
2
2
)
\newline
4
4
4
.
\newline
circle. Use
3.14
3.14
3.14
or
\newline
(
22
)
/
(
7
)
(22)/(7)
(
22
)
/
(
7
)
for
\newline
π
\pi
π
\newline
Section
Get tutor help
centimeters. Find the radius.
\newline
ches. Find the diameter.
\newline
(Sect
\newline
gure. (Section
8
8
8
.
2
2
2
)
\newline
4
4
4
.
\newline
circle. Use
3
3
3
.
14
14
14
or
22
7
\frac{22}{7}
7
22
for
π
\pi
π
\newline
Section
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ry Period
323
323
323
.
24
24
24
\newline
DeltaMath Student Application
\newline
New Tab
\newline
676
/
22950809
/
6
b
525
f
7
676 / 22950809 / 6 b 525 f 7
676/22950809/6
b
525
f
7
debe
67
67
67
ceec
45
45
45
cb
3
3
3
b
51
51
51
fb
7
7
7
c
6
6
6
b
9
9
9
\newline
Biology
\newline
DeltaMath
\newline
ehallpass
\newline
ALEKS - Adaptive L..
\newline
Mr Caert
\newline
iBlocks Online - Proj..
\newline
All
\newline
Watch Video
\newline
Show Examples
\newline
Question
\newline
(
2
2
2
) Watch Video
\newline
Show Examples
\newline
Find the volume of a pyramid with a square base, where the side length of the base is
14
14
14
.
7
7
7
in and the height of the pyramid is
17
17
17
.
2
2
2
in. Round your answer to the nearest tenth of a cubic inch.
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Answer Attempt
2
2
2
out of
2
2
2
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Still Stuc
\newline
in
3
^{3}
3
\newline
Submit Answer
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Find the area of each shaded sector. Use
3
3
3
.
14
14
14
for
p
l
\mathrm{pl}
pl
and round to the nearest tenth.
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12
12
12
.
\newline
13
13
13
.
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The diameter of a circle is
14
14
14
yards. What is the circle's circumference?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
yards
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Two observers are
500
f
t
500 \mathrm{ft}
500
ft
apart on opposite sides of a flagpole. The angles of elevation from the observers to the top of the pole are
1
8
∘
18^{\circ}
1
8
∘
and
2
0
∘
20^{\circ}
2
0
∘
. Find the height of the flagpole.
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The flagpole is
□
\square
□
ft righ.
\newline
(Round to the nearest tenth as needed.)
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1
2
3
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