Finding The Circumference And Diameter Of A Circle
This quiz was created to demonstrate understanding of finding the radius, diameter, and circumference of a circle.
- 1.
1. Sally purchased a CD that was 5 inches in diameter. What is the circumference of the CD?
- A.
25 inches
- B.
15.7 inches
- C.
14 inches
- D.
20 inches
Correct Answer
B. 15.7 inchesExplanation
The circumference of a circle can be calculated using the formula C = πd, where C is the circumference and d is the diameter. In this case, the diameter of the CD is given as 5 inches. Plugging this value into the formula, we get C = π(5) = 15.7 inches. Therefore, the correct answer is 15.7 inches.Rate this question:
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- 2.
The basketball team plays with a ball with a radius of 6 inches. What is the circumference of each basketball?
- A.
36.68 inches
- B.
37.68 inches
- C.
38.68 inches
- D.
39.68 inches
Correct Answer
B. 37.68 inchesExplanation
The circumference of a circle can be calculated using the formula C = 2πr, where C is the circumference and r is the radius. In this case, the given radius is 6 inches. Plugging this value into the formula, we get C = 2π(6) = 12π ≈ 37.68 inches. Therefore, the correct answer is 37.68 inches.Rate this question:
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- 3.
Nathan and three of his friends were building a duck blind to go hunting. They knew for all of them to fit inside that they needed a circumference of 15.7 yards. What diameter must the blind have for it to have the correct circumference?
- A.
3 yards
- B.
4 yards
- C.
5 yards
- D.
6 yards
Correct Answer
C. 5 yardsExplanation
The circumference of a circle is calculated using the formula C = πd, where C is the circumference and d is the diameter. In this case, the circumference needed is 15.7 yards. To find the diameter, we can rearrange the formula to solve for d: d = C/π. Plugging in the given circumference of 15.7 yards and the value of π (approximately 3.14), we find that the diameter must be 15.7/3.14 = 5 yards. Therefore, the correct answer is 5 yards.Rate this question:
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- 4.
If the diameter of a circle is 15 cm, what is the circumference of the circle?
- A.
45.1 cm
- B.
46.1 cm
- C.
47.1 cm
- D.
48.1 cm
Correct Answer
C. 47.1 cmExplanation
The circumference of a circle is calculated by multiplying the diameter by pi (π). In this case, the diameter is given as 15 cm. Using the formula, the circumference can be calculated as 15 cm * π ≈ 47.1 cm. Therefore, the correct answer is 47.1 cm.Rate this question:
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- 5.
When measuring the hula hoop in class, group C discovered that it had a radius of 7 inches. What is the circumference of the hula hoop?
- A.
40 inches
- B.
37.6 inches
- C.
44 inches
- D.
49.6 inches
Correct Answer
C. 44 inchesExplanation
The circumference of a circle can be calculated using the formula:
Circumference = 2πr
Where:
C is the circumference
π (pi) is approximately 3.14159
r is the radius of the circle
In this case, the radius of the hula hoop is 7 inches. So, plug this value into the formula:
Circumference = 2 * π * 7 inches Circumference ≈ 2 * 3.14159 * 7 inches Circumference ≈ 6.28318 * 7 inches Circumference ≈ 44 inches (rounded to the nearest inch)
So, the circumference of the hula hoop is approximately 44 inches.Rate this question:
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- 6.
The laundry basket that Mrs. Smith uses for recycling has a diameter of 25 cm. She wants to move the basket to another place in her classroom. In order for her to complete this task, she must know the circumference of the basket. Please find the circumference of the basket so Mrs. Smith can determine where to place it.
- A.
76.5 cm
- B.
77.5 cm
- C.
78.5 cm
- D.
79.5 cm
Correct Answer
C. 78.5 cmExplanation
To find the circumference of a circle, we use the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter of the basket is 25 cm, we can substitute this value into the formula to find the circumference. C = π(25) = 78.5 cm. Therefore, the circumference of the basket is 78.5 cm.Rate this question:
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- 7.
When determine the circumference of a circle, you must find the ____________ and multiply it by 3.14.
- A.
Area
- B.
Radius
- C.
Circumference
- D.
Diameter
Correct Answer
D. DiameterExplanation
To determine the circumference of a circle, you must find the diameter and multiply it by 3.14 (an approximation of pi, π). The formula for calculating the circumference of a circle is C = π * d, where "C" represents the circumference, "d" represents the diameter, and π is approximately equal to 3.14.The diameter is the distance across the circle through the center, while the radius is the distance from the center of the circle to any point on its edge. To calculate the circumference using the radius, you can use the formula C = 2 * π * r, where "r" represents the radius.Rate this question:
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- 8.
The radius of a circle tells
- A.
The distance around the outside of the circle.
- B.
The distance across the whole circle.
- C.
The distance from the midpoint around the outside.
- D.
The distance from the midpoint to one side of the circle.
Correct Answer
D. The distance from the midpoint to one side of the circle.Explanation
The radius of a circle is the distance from the midpoint to one side of the circle. It is a line segment that connects the center of the circle to any point on its circumference. The radius is always the same length regardless of where it is measured from. It is different from the diameter, which is the distance across the whole circle.Rate this question:
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- 9.
The table we have to sit at has a circumference of 6.28 yards. We need to find the diameter of the table.
- A.
1 yard
- B.
2 yards
- C.
3 yards
- D.
4 yards
Correct Answer
B. 2 yardsExplanation
The circumference of a circle is calculated by multiplying the diameter by pi (π). In this case, the circumference is given as 6.28 yards. To find the diameter, we need to divide the circumference by pi. Dividing 6.28 yards by pi gives us approximately 2 yards. Therefore, the diameter of the table is 2 yards.Rate this question:
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Current Version
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Dec 18, 2023Quiz Edited by
ProProfs Editorial Team -
Feb 12, 2009Quiz Created by
Agsmith
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