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Math Problems
Grade 7
Circles: word problems
This Time with Strategies
\newline
Warm-up
\newline
Estimate the value of
z
z
z
.
\newline
Illustrative
\newline
Mathematics
\newline
Unit
4
∙
4 \bullet
4
∙
Lesson
6
∙
6 \bullet
6
∙
Activity
1
1
1
\newline
Kendall Hunt
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A family room has a circular rug with a radius of
1
1
1
meter. What is the rug's area?
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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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3
3
3
. Find the measure of each lettered and numbered angle.
\newline
a
=
a=
a
=
\newline
\qquad
b
=
b=
b
=
\qquad
c
=
□
d
=
□
e
=
c=\square \quad d=\square \quad e=
c
=
□
d
=
□
e
=
\qquad
\newline
h
=
h=
h
=
\qquad
i
=
i=
i
=
\qquad
j
=
j=
j
=
\qquad
b
=
b=
b
=
1
1
1
\qquad
b
=
b=
b
=
3
3
3
\newline
b
=
b=
b
=
4
4
4
\qquad
\newline
\qquad
\newline
EdGems Math - Course
3
3
3
\newline
Copyright
b
=
b=
b
=
7
7
7
All Rights Reserved
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What is the volume?
\newline
□
\square
□
cubic millimeters
\newline
Submit
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A miniature basketball in the shape of a sphere has a volume of approximately
113
113
113
cubic inches. What is the length of the basketball's radius, rounded to the nearest inch?
\newline
◻
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3
3
3
. The length of arc
E
F
E F
EF
is
5
π
5 \pi
5
π
in. Find the length of the radius.
\newline
Radius:
\qquad
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radius
\newline
=
34.1
in
34.1\,\text{in}
34.1
in
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exttt{OO} is the center of the regular hexagon below. Find its area. Round to the nearest tenth if necessary. The radius is
11
11
11
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A
1.0
k
g
1.0 \mathrm{~kg}
1.0
kg
stone is attached to one end of a rope, which has negligible mass. The stone moves in a uniform circular motion in a vertical circle of radius
2.0
m
2.0 \mathrm{~m}
2.0
m
. Calculate the tension at the bottom point, if the tension in the rope is zero at the topmost point.
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abby.gardner@mcusd
709
709
709
.org Switch account
\newline
Your email will be recorded when you submit this form
\newline
* Indicates required question
\newline
Question
10
10
10
\newline
#
10
\# 10
#10
*
\newline
1
1
1
point
\newline
A garden is in the shape of a circle with a radius of
10
10
10
feet. Edging is placed around the garden.
\newline
How much edging, in feet, is needed to go around the garden? Round to the nearest whole number.
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Enter your answer in the box.
\newline
Your answer
\newline
Page
11
11
11
of
17
17
17
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Back
\newline
Next
\newline
Clear forr
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Circle
O
O
O
shown below has an arc of length
30
30
30
inches subtended by an angle of
6
3
∘
63^{\circ}
6
3
∘
.
\newline
Find the length of the radius,
x
x
x
, to the nearest tenth of an inch.
\newline
Answer:
□
\square
□
inches
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Circle
O
O
O
shown below has a radius of
11
11
11
inches. To the nearest tenth of an inch, determine the length of the arc,
x
x
x
, subtended by an angle of
14
5
∘
145^{\circ}
14
5
∘
.
\newline
Answer:
□
\square
□
inches
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Circle
O
O
O
shown below has a radius of
13
13
13
inches. To the nearest tenth of an inch, determine the length of the arc,
x
x
x
, subtended by an angle of
10
0
∘
100^{\circ}
10
0
∘
.
\newline
Answer:
□
\square
□
inches
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Circle
O
O
O
shown below has a radius of
8
8
8
inches. To the nearest tenth of an inch, determine the length of the arc,
x
x
x
, subtended by an angle of
13
6
∘
136^{\circ}
13
6
∘
.
\newline
Answer:
□
\square
□
inches
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Circle
O
O
O
shown below has a radius of
4
4
4
inches. To the nearest tenth of an inch, determine the length of the arc,
x
x
x
, subtended by an angle of
13
9
∘
139^{\circ}
13
9
∘
.
\newline
Answer:
□
\square
□
inches
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Cone- volume:
36
36
36
cubic inches; height:
9
9
9
inches. Find the radius to the nearest whole
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Emeka forms a ball of clay with a radius of
3
centimeters
3\,\text{centimeters}
3
centimeters
. He then reforms the clay into a cylinder of radius
2
2
2
. What is the height of the cylinder in centimeters, rounded to the nearest tenth?
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Topics: Circle
\newline
A man has bent a circular wire of radius
49
c
m
49 \mathrm{~cm}
49
cm
to form a square. Find the sides of a square.
\newline
100
c
m
100 \mathrm{~cm}
100
cm
\newline
50
c
m
50 \mathrm{~cm}
50
cm
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A right triangular prism is pictured below. Select the type of cross section formed when the figure is cut perpendicular to its base.
\newline
rectangle
\newline
triangle
\newline
Submit Answer
\newline
circle
\newline
square
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A man has bent a circular wire of radius
49
cm
49\text{cm}
49
cm
to form a square. Find the sides of a square.
\newline
100
cm
100\text{cm}
100
cm
\newline
50
cm
50\text{cm}
50
cm
\newline
98
cm
98\text{cm}
98
cm
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The volume of a right cone is
144
π
144 \pi
144
π
units
3
^{3}
3
. If its height is
12
12
12
units, find its radius.
\newline
Answer: units
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The volume of a right cone is
1680
π
1680 \pi
1680
π
units
3
^{3}
3
. If its radius measures
12
12
12
units, find its height.
\newline
Answer: units
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The volume of a right cone is
27
π
27 \pi
27
π
units
3
^{3}
3
. If its height is
9
9
9
units, find its radius.
\newline
Answer: units
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The volume of a right cone is
343
π
343 \pi
343
π
units
3
^{3}
3
. If its height is
21
21
21
units, find its radius.
\newline
Answer: units
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\newline
A man has bent a circular wire of radius
49
cm
49\text{cm}
49
cm
to form a square. Find the sides of a square.
\newline
A
)
100
cm
A)100\text{cm}
A
)
100
cm
\newline
B
)
50
cm
B)50\text{cm}
B
)
50
cm
\newline
C
)
98
cm
C)98\text{cm}
C
)
98
cm
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