Find the circumference of each. Use [3.14] for the value of [π]. Round your answer to the nearest hundredth. If r = 7 ft.
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Understand the Problem
The question is asking to find the circumference of a circle given the radius (r = 7 ft) using the formula C = 2πr. The value of π is provided as 3.14, and the final answer should be rounded to the nearest hundredth.
Answer
The circumference of the circle is \( 43.96 \text{ ft} \).
Answer for screen readers
The circumference of the circle is ( 43.96 \text{ ft} ).
Steps to Solve
- Identify the formula for circumference
To find the circumference of a circle, we will use the formula:
$$ C = 2\pi r $$
where ( C ) is the circumference, ( r ) is the radius, and ( \pi ) is approximately ( 3.14 ).
- Substitute the values into the formula
Given ( r = 7 ) ft and using ( \pi = 3.14 ), we substitute these values into the formula:
$$ C = 2 \times 3.14 \times 7 $$
- Perform the multiplication
Calculate ( 2 \times 3.14 ):
$$ 2 \times 3.14 = 6.28 $$
Next, multiply this result by ( 7 ):
$$ C = 6.28 \times 7 $$
- Calculate the final result
Now perform the final multiplication:
$$ C = 6.28 \times 7 = 43.96 $$
- Round to the nearest hundredth
Since ( 43.96 ) is already rounded to the nearest hundredth, the final result remains:
$$ C = 43.96 \text{ ft} $$
The circumference of the circle is ( 43.96 \text{ ft} ).
More Information
The circumference represents the total distance around the circle. Using ( \pi ) as ( 3.14 ) is a common approximation for practical calculations, and rounding to the nearest hundredth ensures the answer is precise.
Tips
- Forgetting to use the correct formula: Always start with the basic formula for circumference.
- Incorrectly substituting values: Make sure that both ( \pi ) and ( r ) are substituted accurately into the formula.
- Not rounding correctly: Be careful to check if your answer needs to be rounded and to what decimal place.
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