Let's solve the problem step-by-step:
1. Identify the given information:
The radius [tex]\( r \)[/tex] of the circle is given as 3.7 feet.
2. Recall the formula for the circumference of a circle:
The circumference [tex]\( C \)[/tex] of a circle is calculated using the formula:
[tex]\[
C = 2 \pi r
\][/tex]
where [tex]\( \pi \)[/tex] (pi) is approximately 3.14159.
3. Substitute the given radius into the formula:
Substituting [tex]\( r = 3.7 \)[/tex] feet into the formula, we get:
[tex]\[
C = 2 \pi \times 3.7
\][/tex]
4. Calculate the circumference:
Using the value of [tex]\( \pi \)[/tex]:
[tex]\[
C = 2 \times 3.14159 \times 3.7
\][/tex]
Performing the multiplication:
[tex]\[
C \approx 23.24778563656447 \text{ feet}
\][/tex]
5. Round the circumference to the nearest tenth:
The calculated circumference is approximately 23.24778563656447 feet. To round this to the nearest tenth:
- Look at the hundredths place (which is 4 in this case).
- Since 4 is less than 5, we do not round up the tenths place.
Thus, the circumference rounded to the nearest tenth is:
[tex]\[
C \approx 23.2 \text{ feet}
\][/tex]
So, the circumference of the circle, rounded to the nearest tenth, is 23.2 feet. The detailed solution confirms that the circumference is approximately 23.2 feet when rounded, and the precise calculation gives us 23.24778563656447 feet.
