Given:
Diameter of the open paint can, d = 4.6 in
Let's find the circumference of the open paint can in inches.
The open paint can has the shape of a circle. Therefore, to find the circumference of the open paint can, apply the circumference of a circle formula.
[tex]C=2\pi r[/tex]Where r is the radius of the open paint can.
To find the radius, we have:
[tex]\text{radius}=\frac{\text{diameter}}{2}=\frac{4.6}{2}=2.3\text{ in}[/tex]To find the circumference, substitute 2.3 for r in the formula.
We have:
[tex]\begin{gathered} C=2\pi\ast2.3 \\ \\ C=6.28\ast2.3 \\ \\ C=14.45\text{ inches} \end{gathered}[/tex]Therefore, the circumference of the paint can is 14.45 inches
ANSWER:
14.45 inches