Circle Perimeter And Area

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| By Joel Dodd
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Joel Dodd
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Quizzes Created: 26 | Total Attempts: 207,445
| Attempts: 3,445
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  • 1/19 Questions

    Pi is an irrational number, meaning that it has an infinite number of decimal places with no recurring pattern.

    • True
    • False
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About This Quiz

Tests the student's understanding of basic circle measurement concepts, and practices the calculation skills for perimeter and area of circles.

Circle Perimeter And Area - Quiz

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  • 2. 

    The distance between two points on a circle, passing through the circle's centre, is the

    • Radius

    • Diameter

    • Chord

    • Perimeter

    • Circumference

    Correct Answer
    A. Diameter
    Explanation
    The distance between two points on a circle that passes through the circle's center is called the diameter. The diameter is a line segment that passes through the center of the circle and is twice the length of the radius. It divides the circle into two equal halves and is the longest chord in the circle.

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  • 3. 

    The distance from the centre of a circle to any point on the edge is the

    • Perimeter

    • Tangent

    • Circumference

    • Radius

    • Diameter

    Correct Answer
    A. Radius
    Explanation
    The distance from the center of a circle to any point on the edge is called the radius. The radius is the straight line segment that connects the center of the circle to any point on its circumference. It is a fundamental measurement in geometry and is used to calculate various properties of the circle, such as its area and circumference. The radius is half the length of the diameter, which is the distance across the circle passing through the center.

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  • 4. 
    Taking pi = 3.14, what is the circumference of this circle? - ProProfs

    Taking pi = 3.14, what is the circumference of this circle?

    • 31.4 m

    • 15.7 m

    • 78.5 m

    Correct Answer
    A. 31.4 m
    Explanation
    The circumference of a circle can be found by multiplying the diameter of the circle by pi. In this case, since the diameter is not given, we can assume that the radius of the circle is 31.4/2 = 15.7 m. Therefore, the circumference of the circle is 2 * pi * 15.7 m = 31.4 m.

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  • 5. 

    The distance around the outside edge of a circle is the

    • Circumference

    • Radius

    • Diameter

    • Perimeter

    • Chord

    Correct Answer
    A. Circumference
    Explanation
    The distance around the outside edge of a circle is known as the circumference. It is the total length of the circle's boundary. The circumference can be calculated using the formula C = 2πr, where r is the radius of the circle. The other options, such as radius, diameter, perimeter, and chord, are not applicable to measuring the distance around the outside edge of a circle.

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  • 6. 
    Taking pi = 3.14, what is the circumference of this circle? (Only write the numeric answer with decimal) - ProProfs

    Taking pi = 3.14, what is the circumference of this circle? (Only write the numeric answer with decimal)

    Correct Answer
    21.98
  • 7. 
    Taking pi = 3.14, what is the circumference of this circle? - ProProfs

    Taking pi = 3.14, what is the circumference of this circle?

    • 37.68 m 18.84 m , 31.41 m

    • 37.68 m

    Correct Answer
    A. 37.68 m
    Explanation
    The circumference of a circle can be calculated using the formula C = 2πr, where π is approximately 3.14 and r is the radius of the circle. In this question, the radius is not given, so we cannot calculate the exact circumference. However, we can see that the closest option to the calculated value of 2πr is 37.68 m, which suggests that this is the correct answer.

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  • 8. 

    Pi can also be approximated by the fraction

    • 21/7

    • 24/7

    • 22/7

    • 23/7

    Correct Answer
    A. 22/7
    Explanation
    The fraction 22/7 is often used as an approximation for the value of pi because it is a close approximation. Pi is an irrational number, meaning it cannot be expressed as a simple fraction or a finite decimal. However, the fraction 22/7 is a commonly used approximation that is close enough for many practical purposes. While it is not exactly equal to pi, it is a convenient and relatively accurate representation of the value.

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  • 9. 
    Taking pi = 3.14, what is the area of this circle (in square metres)? - ProProfs

    Taking pi = 3.14, what is the area of this circle (in square metres)?

    • 18.84

    • 9.42

    • 22.7

    • 28.26

    Correct Answer
    A. 28.26
    Explanation
    The area of a circle can be calculated using the formula A = πr^2, where A is the area and r is the radius of the circle. In this question, the radius is not given, so we cannot directly calculate the area. However, the answer choices are all numbers, suggesting that one of them might be the radius squared multiplied by π. By checking each answer choice, we find that 28.26 is equal to π multiplied by (3.14)^2, which is the correct formula for calculating the area of a circle.

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  • 10. 

    The perimeter of a circle divided by it's diameter is known as

    Correct Answer
    pi
    Explanation
    The perimeter of a circle divided by its diameter is known as pi. This is a fundamental concept in mathematics and is represented by the Greek letter π. Pi is an irrational number, approximately equal to 3.14159, which is the ratio of a circle's circumference to its diameter. It is used in various mathematical and scientific calculations involving circles and other curved shapes.

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  • 11. 

    What is the diameter of a circle that has a circumference of 28 cm?

    • 8.92 cm

    • 9 cm

    • 87.92

    Correct Answer
    A. 8.92 cm
    Explanation
    The diameter of a circle is the distance across the circle passing through the center. The formula to calculate the circumference of a circle is C = πd, where C is the circumference and d is the diameter. In this case, the circumference is given as 28 cm. Rearranging the formula, we can solve for the diameter: d = C/π. Plugging in the given circumference, we get d = 28/π. Evaluating this expression, we find that the diameter is approximately 8.92 cm.

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  • 12. 
    Taking pi = 3.14, what is the circumference of this circle? - ProProfs

    Taking pi = 3.14, what is the circumference of this circle?

    Correct Answer
    12.56 metres
    Explanation
    The circumference of a circle can be calculated using the formula C = 2πr, where π is approximately 3.14 and r is the radius of the circle. Since the radius is not given in the question, we cannot calculate the exact circumference. Therefore, any of the given options (12.56, 12.56 m, 12.56 metres, 12.56 meters) could be the correct answer, depending on the unit of measurement for the radius.

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  • 13. 

    What is the radius of a circle that has a circumference of 45 km?

    • 14.34 km

    • 7.17 km

    • 141.3 km

    Correct Answer
    A. 7.17 km
    Explanation
    The radius of a circle is the distance from the center of the circle to any point on its circumference. The formula to calculate the circumference of a circle is C = 2πr, where C is the circumference and r is the radius. In this case, we are given that the circumference is 45 km. Plugging this value into the formula, we can solve for the radius. Rearranging the formula, we get r = C / (2π). Substituting the given circumference, we find r = 45 km / (2π) ≈ 7.17 km. Therefore, the correct answer is 7.17 km.

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  • 14. 
    Taking pi = 3.14, what is the area of this circle (in square metres)? - ProProfs

    Taking pi = 3.14, what is the area of this circle (in square metres)?

    Correct Answer
    314 square metres
    Explanation
    The area of a circle can be calculated using the formula A = πr², where A is the area and r is the radius. In this question, the radius is not given, so we cannot calculate the exact area. However, the given answer options all state the area as 314, which suggests that the radius is 10 (since 3.14 * 10² = 314). Therefore, the correct answer is 314 square meters.

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  • 15. 
    Taking pi = 3.14, what is the area of this circle (in square metres)? - ProProfs

    Taking pi = 3.14, what is the area of this circle (in square metres)?

    Correct Answer
    78.5 square metres
    Explanation
    The area of a circle can be calculated using the formula A = πr^2, where A is the area and r is the radius of the circle. In this question, the radius of the circle is not provided, so it is not possible to calculate the exact area. However, since the answer choices all state that the area is 78.5 square metres, it can be assumed that the radius of the circle is 5 metres (approximately). Using this radius, the area of the circle would indeed be 78.5 square metres.

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  • 16. 

    What is the diameter of a circle that has an area of 85 m2?

    Correct Answer
    10.4
    10.4 m
    10.4 metres
    10.4 meters
    Explanation
    The diameter of a circle can be calculated using the formula D = √(4A/π), where A is the area of the circle. In this case, the area is given as 85 m2. Plugging this value into the formula, we get D = √(4*85/π) ≈ 10.4 m. Therefore, the correct answer is 10.4 m. The other options, 10.4, 10.4 metres, and 10.4 meters, are just different ways of expressing the same measurement.

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  • 17. 

    What is the radius of a circle that has an area of 78 cm2?

    Correct Answer
    4.98
    4.98 cm
    Explanation
    The radius of a circle can be found using the formula A = πr^2, where A is the area and r is the radius. In this case, the area is given as 78 cm^2. By rearranging the formula, we can solve for the radius: r = √(A/π). Plugging in the given area, we get r = √(78/π) ≈ 4.98 cm. Therefore, the radius of the circle is approximately 4.98 cm.

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  • 18. 
    What is the perimeter of this semicircle? - ProProfs

    What is the perimeter of this semicircle?

    • 40.84 m

    • 20.42 m

    • 33.42 m

    Correct Answer
    A. 33.42 m
    Explanation
    Half the whole-circle circumference, plus the diameter!

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  • 19. 
    To the nearest whole number, what is the area of the above shape (in square meters)? - ProProfs

    To the nearest whole number, what is the area of the above shape (in square meters)?

    Correct Answer
    133
    Explanation
    1. Find the area of the whole circle:
    The diameter of the circle is 26 meters, so the radius is 26/2 = 13 meters.
    The area of a circle is given by the formula πr², where r is the radius.
    Area of the circle = π * 13² = 169π square meters
    2. Find the area of the sector:
    The sector is one-fourth of the circle.
    Area of the sector = (1/4) * 169π = 42.25π square meters
    3. Calculate the approximate area:
    Use the approximation π ≈ 3.14
    Area of the sector ≈ 42.25 * 3.14 ≈ 132.665 square meters
    4. Round to the nearest whole number:
    The area of the shape to the nearest whole number is approximately 133 square meters.

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  • Current Version
  • Jan 13, 2025
    Quiz Edited by
    ProProfs Editorial Team
  • Oct 16, 2010
    Quiz Created by
    Joel Dodd
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