The radius of the circle is 1 kilometer.
How did we get the value?
The circumference (C) of a circle is related to its radius (r) by the formula:
![\[ C = 2 \pi r \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/7j3p3lo7drnc6f8ubtw8ltqnlyru4hut8s.png)
In the given question, the circumference is given as
kilometers. So, we can set up the equation as follows:
![\[ 2\pi = 2 \pi r \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/6le4e507x5jubgstc3iun8gc4r1ung0n90.png)
To find the radius (r), you can cancel out the common factor of
on both sides of the equation:
r = C/2π
r = 2π/2π
![\[ r = 1 \, \text{kilometer} \]](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jomovluot7hhf303qupj68v5jju7fg1q0y.png)
So, the radius of the circle is 1 kilometer.