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

  1. 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 ).

  1. Substitute the values into the formula

Given ( r = 7 ) ft and using ( \pi = 3.14 ), we substitute these values into the formula:

$$ C = 2 \times 3.14 \times 7 $$

  1. Perform the multiplication

Calculate ( 2 \times 3.14 ):

$$ 2 \times 3.14 = 6.28 $$

Next, multiply this result by ( 7 ):

$$ C = 6.28 \times 7 $$

  1. Calculate the final result

Now perform the final multiplication:

$$ C = 6.28 \times 7 = 43.96 $$

  1. 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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