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Math Problems
Grade 7
Circles: word problems
The radius of a quarter circle is
2
2
2
inches. What is the quarter circle's perimeter?
\newline
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
____ inches
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The perimeter of a quarter circle is
7.14
7.14
7.14
yards. What is the quarter circle's radius?
\newline
\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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The perimeter of a quarter circle is
7.14
7.14
7.14
inches. What is the quarter circle's radius?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
____ inches
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The perimeter of a quarter circle is
3.57
3.57
3.57
inches. What is the quarter circle's radius?
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
____ inches
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The radius of a quarter circle is
1
meter
1\,\text{meter}
1
meter
. 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
_
_
_
_
\_\_\_\_
____
meters
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The perimeter of a quarter circle is
3.57
3.57
3.57
feet. What is the quarter circle's radius?
\newline
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
____ feet
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The radius of a quarter circle is
4
meters
4\,\text{meters}
4
meters
. 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
____ meters
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The diameter of a semicircle is
6
meters
6\,\text{meters}
6
meters
. What is the semicircle's radius?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
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Jessica cooks on a range that has four round electric burners. One of the burners has a diameter of
6
6
6
inches. What is the burner's radius?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
inches
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A new restaurant is attracting customers with searchlights. One circular searchlight has a radius of
2
2
2
feet. What is the searchlight's diameter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
feet
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Dan works at a lab with a huge circular particle accelerator. It has a diameter of
4
4
4
miles. What is the accelerator's radius?
\newline
_
_
_
_
\_\_\_\_
____
miles
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After stepping into a room with unusual lighting, Sasha's pupil has a radius of
3
millimeters
3\,\text{millimeters}
3
millimeters
. What is the pupil's diameter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
millimeters
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The button on Clayton's shirt has a radius of
4
millimeters
4\,\text{millimeters}
4
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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The button on Eric's shirt has a diameter of
8
millimeters
8\,\text{millimeters}
8
millimeters
. What is the button's radius?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
millimeters
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The navigator on the ship uses a compass to draw a circle on a nautical chart to indicate the ship's position. The circle has a radius of
3
3
3
inches. What is the circle's diameter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
inches
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The diameter of a semicircle is
8
inches
8\,\text{inches}
8
inches
. What is the semicircle's radius?
\newline
_
_
_
_
\_\_\_\_
____
inches
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The diameter of a semicircle is
2
2
2
inches. What is the semicircle's radius?
\newline
_
_
_
_
\_\_\_\_
____
inches
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The diameter of a semicircle is
10
meters
10\,\text{meters}
10
meters
. What is the semicircle's radius?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
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The radius of a semicircle is
2
kilometers
2\,\text{kilometers}
2
kilometers
. What is the semicircle's diameter?
\newline
_
_
_
_
_
_
\_\_\_\_\_\_
______
kilometers
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The diameter of a semicircle is
8
feet
8\,\text{feet}
8
feet
. What is the semicircle's radius?
\newline
_
_
_
_
\_\_\_\_
____
feet
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The radius of a semicircle is
1
1
1
foot. What is the semicircle's diameter?
\newline
____ feet
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The diameter of a semicircle is
6
millimeters
6\,\text{millimeters}
6
millimeters
. What is the semicircle's radius?
\newline
_
_
_
_
_
_
\_\_\_\_\_\_
______
millimeters
Get tutor help
The diameter of a semicircle is
8
meters
8\,\text{meters}
8
meters
. What is the semicircle's radius?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
meters
Get tutor help
The radius of a semicircle is
5
kilometers
5\,\text{kilometers}
5
kilometers
. What is the semicircle's diameter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
kilometers
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The radius of a semicircle is
3
yards
3\,\text{yards}
3
yards
. What is the semicircle's diameter?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
yards
Get tutor help
The diameter of a semicircle is
2
kilometers
2\,\text{kilometers}
2
kilometers
. What is the semicircle's radius?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
kilometers
Get tutor help
The radius of a quarter circle is
4
4
4
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
____ feet
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The perimeter of a quarter circle is
14.28
14.28
14.28
meters. What is the quarter circle's radius?
\newline
\newline
Use
π
≈
3.14
\pi \approx 3.14
π
≈
3.14
and round your answer to the nearest hundredth.
\newline
____ meters
\newline
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At Troy's Laundromat, the circular opening of a washing machine has a diameter of
2
2
2
feet. What is the opening's radius?
\newline
_
_
_
_
\_\_\_\_
____
feet
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At a carnival, Eva gets to spin a prize wheel. It has a radius of
1
1
1
foot. What is the prize wheel's circumference?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ feet
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After stepping into a room with unusual lighting, Anna's pupil has a diameter of
8
millimeters
8\,\text{millimeters}
8
millimeters
. What is the pupil's radius?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
millimeters
Get tutor help
The round base of a copper tea kettle has a diameter of
6
6
6
inches. What is the base's radius?
\newline
_____ inches
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Tiana is floating on an inner tube that has a diameter of
2
2
2
feet. What is the inner tube's radius?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
feet
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A circle of red roses is planted in Kensington's central park. The circle has a diameter of
8
8
8
feet. What is the circle's radius?
\newline
_
_
_
_
\_\_\_\_
____
feet
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After stepping into a room with unusual lighting, Shivani's pupil has a diameter of
8
millimeters
8\,\text{millimeters}
8
millimeters
. What is the pupil's radius?
\newline
_
_
_
_
_
\_\_\_\_\_
_____
millimeters
Get tutor help
The students in Mrs. Ramsey's kindergarten class sit down in a circle for story time. The circle they form has a radius of
3
3
3
feet. What is the circle's circumference?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_
_
_
_
_
\_\_\_\_\_
_____
feet
Get tutor help
Erik cooks on a range that has four round electric burners. One of the burners has a radius of
4
4
4
inches. What is the burner's circumference?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ inches
Get tutor help
Quinn attaches his A+ test to the refrigerator with a circular magnet. Out of curiosity, he measures the magnet and calculates that it has a radius of
1
1
1
inch. What is the magnet's circumference?
\newline
Use
3.14
3.14
3.14
for
π
\pi
π
. If necessary, round your answer to the nearest hundredth.
\newline
_____ inches
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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?
\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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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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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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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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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 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
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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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
(A)
100
c
m
100 \mathrm{~cm}
100
cm
\newline
(B)
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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