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Answer :
To find the approximate value of the circumference of a circle given the radius, you can use the formula for the circumference:
[tex]\[ C = 2\pi r \][/tex]
Here, [tex]\( r \)[/tex] is the radius of the circle, and [tex]\(\pi\)[/tex] is approximately 3.14.
1. Identify the Given Values:
- The radius ([tex]\( r \)[/tex]) of the circle is 6 feet.
- Use the value [tex]\(\pi = 3.14\)[/tex].
2. Apply the Formula:
[tex]\[
C = 2 \times 3.14 \times 6
\][/tex]
3. Perform the Calculation:
- First, multiply [tex]\( 2 \times 6\)[/tex] to get [tex]\( 12 \)[/tex].
- Then multiply [tex]\( 12 \times 3.14 \)[/tex].
4. Calculate the Result:
[tex]\[
C = 37.68
\][/tex]
5. Round the Result:
- The radius was given to the nearest whole number (0 decimal places), so we should round the circumference to one more decimal place than the radius, which is 1 decimal place.
[tex]\[
C \approx 37.7
\][/tex]
6. Select the Correct Answer:
- Among the given options, 37.7 feet is the approximate value of the circumference rounded to one decimal place.
Therefore, the approximate circumference of the circle is 37.7 feet.
[tex]\[ C = 2\pi r \][/tex]
Here, [tex]\( r \)[/tex] is the radius of the circle, and [tex]\(\pi\)[/tex] is approximately 3.14.
1. Identify the Given Values:
- The radius ([tex]\( r \)[/tex]) of the circle is 6 feet.
- Use the value [tex]\(\pi = 3.14\)[/tex].
2. Apply the Formula:
[tex]\[
C = 2 \times 3.14 \times 6
\][/tex]
3. Perform the Calculation:
- First, multiply [tex]\( 2 \times 6\)[/tex] to get [tex]\( 12 \)[/tex].
- Then multiply [tex]\( 12 \times 3.14 \)[/tex].
4. Calculate the Result:
[tex]\[
C = 37.68
\][/tex]
5. Round the Result:
- The radius was given to the nearest whole number (0 decimal places), so we should round the circumference to one more decimal place than the radius, which is 1 decimal place.
[tex]\[
C \approx 37.7
\][/tex]
6. Select the Correct Answer:
- Among the given options, 37.7 feet is the approximate value of the circumference rounded to one decimal place.
Therefore, the approximate circumference of the circle is 37.7 feet.
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