Math 7 Accelerated Circles Quiz
You may review your answers at the end of the quiz. There will be no make ups for this quiz.
Questions and Answers
- 1.
Example - Your local pizza place offers the following two pizza deals, both for the same price: Option 1: One extra-large pizza 16 inches in diameter.Option 2: Two medium pizzas each 8 inches in diameter.
- 2.
If the diameter of a circle is 12m, what is the radius of that circle?
Correct Answer
6m
6
6meters
6 m
6 metersExplanation
The radius of a circle is half of its diameter. Therefore, if the diameter of a circle is 12m, the radius would be half of that, which is 6m.Rate this question:
- 3.
The distance around a circle is called the ______.
Correct Answer
circumference
CircumferenceExplanation
Please refer to the Quizlet vocabulary.Rate this question:
- 4.
What is the area of a circle with a circumference of ?
- A.
- B.
6
- C.
- D.
36
- E.
Correct Answer
A.Explanation
If the circumference is 12pi, then the diameter is 12, which means the radius is 6. Square the radius to calculate the area. 6 squared is 36. The answer is 36pi.Rate this question:
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- 5.
What is the area of a circle with a circumference of ?
- A.
8
- B.
- C.
- D.
32
- E.
- F.
64
Correct Answer
E.Explanation
If the circumference is 16pi, then the diameter is 16, which means the radius is 8. Using the formula A=pi times the radius squared, the radius squared is 64, therefore the area is 64pi.Rate this question:
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- 6.
The ____ is the distance from the center of a circle to the circle's edge.
Correct Answer
radius
RadiusExplanation
Please refer to the Quizlet vocabulary.Rate this question:
- 7.
What is ?Select all that apply.
- A.
An number that begins with 3.14.
- B.
The radius of a circle squared.
- C.
The diameter multiplied by the circumference of a circle.
- D.
The circumference divided by the diameter of a circle.
Correct Answer(s)
A. An number that begins with 3.14.
D. The circumference divided by the diameter of a circle.Explanation
The correct answers are "A number that begins with 3.14" and "The circumference divided by the diameter of a circle." A number that begins with 3.14 refers to the mathematical constant pi (Ï€), which is approximately equal to 3.14. The circumference divided by the diameter of a circle is also equal to pi (Ï€), as this ratio is constant for all circles.Rate this question:
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- 8.
A ____ is a chord that passes through the center of a circle.
Correct Answer(s)
diameter
DiameterExplanation
Please refer to the Quizlet vocabulary list "Circle Parts".Rate this question:
- 9.
The _____________ of a shape is the number of square units that fit inside a shape
- A.
Diameter
- B.
Area
- C.
Chord
- D.
Radius
- E.
Circumference
- F.
Perimeter
- G.
Chord
Correct Answer
B. AreaExplanation
Please refer to the Educanon video Titled "Circle area".Rate this question:
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- 10.
If the diameter of a circle is 10m, what is the radius of that circle?
Correct Answer
5m
5
5meters
5 m
5 metersExplanation
The radius of a circle is half of its diameter. Therefore, if the diameter of the circle is 10m, the radius would be half of that, which is 5m.Rate this question:
- 11.
What does it mean to "square" a number?
- A.
To multiply a number by itself.
- B.
To add a number to itself.
- C.
To divide a number by itself.
- D.
To subtract a number from itself.
Correct Answer
A. To multiply a number by itself.Explanation
"Squaring" a number means multiplying the number by itself. This is done by taking the number and multiplying it by itself, resulting in the number being squared. For example, squaring 3 would be 3 multiplied by 3, which equals 9.Rate this question:
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- 12.
Triangle ABC has one side length of 3 and one side length 5, the non-included angle next to the side of length 3 measures 60 degrees. Is there another triangle satisfying these conditions that has a third side of different length?
- A.
Yes
- B.
No
Correct Answer
B. NoExplanation
According to the given information, we have a triangle ABC with side lengths of 3, 5, and an angle of 60 degrees. In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. However, in this case, the sum of the lengths of the sides 3 and 5 is equal to 8, which is not greater than any possible length for the third side. Therefore, there is no other triangle that satisfies these conditions with a third side of different length.Rate this question:
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- 13.
The circumference of a circle with radius 8 is ___ times as big as the circumference with radius 1.
Correct Answer
8
8 timesExplanation
The circumference of a circle with a radius 8 is 16pi. The circumference of a circle with radius 1 is 2pi. 16pi divided by 2pi is 8.Rate this question:
- 14.
The circumference of a circle with radius 6 is ___ times as big as the circumference with radius 1.
Correct Answer
6, 6 times - 15.
Rope A circles earth while rope B also circles earth but floats 4 meters above the surface of the earth. What is the difference between the lengths of the two ropes?
- A.
4pi
- B.
4
- C.
8
- D.
8pi
- E.
16pi
- F.
16
- G.
2pi
- H.
2
Correct Answer
D. 8piExplanation
If the circle floats 4 meters above the surface, then the diameter of this circle is (d+8). Now find the difference of the two circumferences.
(d+8)pi - d pi
d pi + 8pi - dpi
8pi is the answerRate this question:
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- 16.
What is the area of the extra-large pizza?
- A.
16
- B.
16pi
- C.
8
- D.
8pi
- E.
4
- F.
4pi
- G.
32
- H.
32pi
- I.
64
- J.
64pi
Correct Answer
J. 64piExplanation
Half of 16 is 8 (the radius). Square the radius (64), then multiply by pi. The answer is 64pi.Rate this question:
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- 17.
What is the area of the two medium pizzas combined?
- A.
4pi
- B.
4
- C.
16pi
- D.
16
- E.
32pi
- F.
32
- G.
64pi
- H.
64
Correct Answer
E. 32piExplanation
Half the diameter of the 8 inch pizza is 4 (the radius). Square the radius to get 16. The area of one medium pizza is 16pi. The area of two medium pizzas is 2 x 16pi = 32pi.Rate this question:
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- 18.
Which choice will give you more pizza for your money?
- A.
Option 1 - One extra-large pizza
- B.
Option 2 - Two medium pizzas
Correct Answer
A. Option 1 - One extra-large pizzaExplanation
Option 1 offered 64pi worth of pizza. Option 2 offered 32pi worth of pizza.Rate this question:
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Current Version
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Apr 19, 2024Quiz Edited by
ProProfs Editorial Team -
Feb 09, 2015Quiz Created by
Tjzerrer
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