Circumference of a Circle Practice

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Question 2
Given a circle with the circumference of 9.42ft. Find the diameter of the circle. Take π as 3.14.

Answer

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

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