Circumference of a Circle Practice

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Question 2

Given a circle with the radius of 9.42ft. Find the circumference of this circle. Take π as 3.14.


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Select and check your answer...

A. 3ft
B. 4ft
C. 5ft
D. 6ft

Step by Step Solution

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    Step 1

    The picture below shows the circle with the diameter d.

    a circle with the diameter d
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    Step 2

    To find the diameter of the circle, we start with the formula for the circumference of a circle:

    formula for the circumference of a circle
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    Step 3

    Since the value of the circumference is given as 9.24ft, we can substitute C with 9.24. Similarly, we can substitute π with 3.14. This is shown below:

    calculating the radius of a circle
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    Step 4

    Now, we have 3.14d = 9.24. To find d, we need to remove 3.14. To do so, we divide both sides of the equation with 3.14 as shown below:

    dividing both sides with 3.14
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    Step 5

    Now, the calculated number has no meaning unless we include the unit for it. Since the circumference is in feet, the diameter will also be in feet. Hence:

    d = 3ft
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    Step 6

    Therefore, the answer is A.