Show your curiosity, take chances, and use your time to succeed.
You may use a calculator.
Please use π = 3.14 for all calculations.
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Question 1
1.
Find the circumference of the circle shown below. 3A🌶️
Label your answer. Use π=3.14
(When you are not given units such as "cm" or "inches", just use "units" as your label)
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Question 2
2.
Find the circumference of the circle shown below. 3A🌶️
Show your work. Label your answer. Use π=3.14
(When you are not given units such as "cm" or "inches", just use "units" as your label)
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Question 3
3.
I am making a circular garden. The sprinkler in the middle shoots water 10 feet to the edge of the garden. What is the circumference of my garden? 3A🌶️🌶️
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Question 4
4.
*The figure below is composed of squares and semicircles. Find the perimeter of this shape. Show your work. Use π=3.14 and round to the nearest hundredth OR answer in terms of π. 3A🌶️🌶️🌶️
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Question 5
5.
Find the area of the circle shown below. 3B🌶️
Show your work. Label your answer. Use π=3.14
(When you are not given units such as "cm" or "inches", just use "units" as your label.)
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Question 6
6.
Find the area of the circle shown below. 3B🌶️
Label your answer. Use π = 3.14
(When you are not given units such as "cm" or "inches", just use "units" or "square units" as your label)
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Question 7
7.
Bob buys two circular pizzas.
The small pizza has a 9-inch diameter.
The medium pizza has a 14-inch diameter.
How much greater, in square inches, is the area of the medium pizza than the small pizza? 3B🌶️🌶️
Use π=3.14 Round your answer to the nearest tenth. Show your work.
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Question 8
8.
When the value 3.14 is used for π, the circumference of a circle is 113.04 feet.
What is the area of that same circle? 3B🌶️🌶️
Use 3.14 for π.
Write the area. Label feet or square feet.
Show your work.
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Question 9
9.
*The figure below is composed of squares and semicircles. Find the area of this shape. Show your work. Use π=3.14 and round to the nearest hundredth OR answer in terms of π. 3B🌶️🌶️🌶️
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Question 10
10.
Decide whether circumference or area would be needed to calculate it. 3C🌶️
The amount of grass a goat can eat if he is on a rope that is tied to a stake.
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Question 11
11.
Decide whether the maximum length of the rope would represent the radius or diameter of a circle.
A goat is on a rope that is tied to a stake.
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Question 12
12.
Decide whether circumference or area would be needed to calculate it. 3C🌶️
The amount of fencing needed to enclose the goat in his circular pen (since he was smart enough to eat through the rope.)
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Question 13
13.
A paint roller goes 6.3 inches in one rotation. What is the diameter of the roller? 3C🌶️🌶️
Round to the nearest whole inch and label your answer.
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Question 14
14.
At the PSU Arboretum, I walked halfway around the circular garden path and realized it was late, so I cut straight back through the center of the circle to my original spot. If I went 235.5 feet on the circular part of the path, how much less did I go on the shortcut through the circle? 3C🌶️🌶️🌶️
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Question 15
15.
Erik needed to resurface a circular ice rink that is 3846.5 ft2. Can you believe it? He was at one point on the circle and the ice machine was on the circle at the point furthest from him. If he carefully cut across the circle directly to the machine, how far would he travel? 3C🌶️🌶️🌶️