To determine the circumference [tex]\( C \)[/tex] of a circle with a given radius [tex]\( r = 2.5 \)[/tex] meters and using the approximation [tex]\(\pi = 3.14\)[/tex], we employ the formula for the circumference of a circle:
[tex]\[
C = 2 \pi r
\][/tex]
First, we substitute the given values into the formula:
[tex]\[
C = 2 \times 3.14 \times 2.5
\][/tex]
Next, we proceed with the multiplication in steps.
1. Calculate the product of [tex]\( 2 \)[/tex] and [tex]\( 2.5 \)[/tex]:
[tex]\[
2 \times 2.5 = 5
\][/tex]
2. Now, multiply this result by [tex]\( 3.14 \)[/tex]:
[tex]\[
5 \times 3.14 = 15.70
\][/tex]
Thus, the circumference of the circle is:
[tex]\[
C = 15.70 \text{ meters}
\][/tex]
After comparing with the options given, the correct answer is:
[tex]\[
15.70 \text{ meters}
\][/tex]
