Question

what is the circumference of this circle? r = 2 km 15.25 km 18.16 km 10.14 km 12.56 km

Explanation:

Step1: Recall the formula for the circumference of a circle

The formula for the circumference \( C \) of a circle is \( C = 2\pi r \) or \( C=\pi d \) (where \( d \) is the diameter and \( d = 2r \)). Here, the radius \( r = 2\space km \).

Step2: Substitute the value of \( r \) into the formula

Using \( C = 2\pi r \), substitute \( r = 2 \). So \( C=2\times\pi\times2 \).

Step3: Calculate the circumference

\( C = 4\pi \). Taking \( \pi\approx3.14 \), we get \( C = 4\times3.14 = 12.56\space km \).

Answer:

12.56 km