Find Circumference And Area Of A Circle

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| By Mmican
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Mmican
Community Contributor
Quizzes Created: 1 | Total Attempts: 483
Questions: 6 | Attempts: 483

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Geometry Quizzes & Trivia

Please use the correct formulas from your Mathematic Chart to answer the following questions.


Questions and Answers
  • 1. 

    Find the circumference of a circle with a radius of 5 meters.

    • A.

      30 meters

    • B.

      40 meters

    • C.

      50 meters

    • D.

      60 meters

    Correct Answer
    A. 30 meters
    Explanation
    The circumference of a circle can be calculated using the formula C = 2πr, where r is the radius of the circle. In this case, the radius is given as 5 meters. Substituting this value into the formula, we get C = 2π(5) = 10π meters. Since the value of π is approximately 3.14, the circumference of the circle is approximately 10(3.14) = 31.4 meters. Therefore, the closest answer to the actual circumference is 30 meters.

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  • 2. 

    Find the area of a circle with a diameter of 18 meters.

    • A.

      54 sq. meters

    • B.

      143 sq. meters

    • C.

      233 sq. meters

    • D.

      243 sq. meters

    Correct Answer
    D. 243 sq. meters
    Explanation
    The area of a circle can be found using the formula A = πr^2, where r is the radius of the circle. Since the diameter is given as 18 meters, the radius is half of that, which is 9 meters. Plugging this value into the formula, we get A = π(9^2) = 81π. Approximating π to 3.14, we find that the area is approximately 254.34 square meters. Therefore, the closest answer is 243 square meters.

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  • 3. 

    Find the circumference of a circle with a radius of 12 inches.

    • A.

      72 meters

    • B.

      82 inches

    • C.

      72 inches

    • D.

      82 meters

    Correct Answer
    C. 72 inches
    Explanation
    The circumference of a circle is calculated using the formula C = 2πr, where r is the radius of the circle. In this case, the radius is given as 12 inches. Plugging this value into the formula, we get C = 2π(12) = 24π inches. Since the value of π is approximately 3.14, the circumference is approximately 24(3.14) = 75.36 inches. Therefore, the correct answer is 72 inches.

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  • 4. 

    A sprinkler can spray water 10 feet in all direction.  How much area can the sprinkler water?

    • A.

      200 sq. feet

    • B.

      300 sq. feet

    • C.

      60 sq. feet

    • D.

      600 sq. feet

    Correct Answer
    B. 300 sq. feet
    Explanation
    The sprinkler can spray water in all directions for a distance of 10 feet. This means that the sprinkler can cover a circular area with a radius of 10 feet. The formula to calculate the area of a circle is πr^2, where r is the radius. Therefore, the area covered by the sprinkler is approximately 3.14 * 10^2 = 314 square feet. However, since the options provided are in multiples of 100, the closest option is 300 square feet.

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  • 5. 

    What is the number of square meters of a half circle whose diameter is 8 meters?

    • A.

      56

    • B.

      48

    • C.

      12

    • D.

      24

    Correct Answer
    D. 24
    Explanation
    The number of square meters of a half circle can be found by calculating the area of the corresponding full circle and then dividing it by 2. The formula for the area of a circle is A = πr^2, where r is the radius. In this case, the diameter is given as 8 meters, so the radius is 4 meters. Plugging this value into the formula, we get A = π(4^2) = 16π. Dividing this by 2, we get 8π. Since the value of π is approximately 3.14, the area of the half circle is approximately 8(3.14) = 25.12 square meters. The closest option to this value is 24, which is the correct answer.

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  • 6. 

    Find the circumference of a circle with a diameter of 25.

    • A.

      150

    • B.

      50

    • C.

      75

    • D.

      0

    Correct Answer
    C. 75
    Explanation
    The circumference of a circle can be found by multiplying the diameter by pi (π). In this case, the diameter is given as 25. So, the circumference would be 25 * π. Since an approximate value of π is 3.14, the circumference would be approximately 78.5. However, the closest option to this value is 75, so that would be the correct answer.

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  • Current Version
  • Mar 21, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Dec 03, 2009
    Quiz Created by
    Mmican
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