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.
![C=2\pi r](https://img.qammunity.org/2023/formulas/mathematics/high-school/noytl63lm1q06t23qsdkycir68uwxrmxzb.png)
Where r is the radius of the open paint can.
To find the radius, we have:
![\text{radius}=\frac{\text{diameter}}{2}=(4.6)/(2)=2.3\text{ in}](https://img.qammunity.org/2023/formulas/mathematics/college/tfrw4lusregioo49eznuds0tpzpz7xiax5.png)
To find the circumference, substitute 2.3 for r in the formula.
We have:
![\begin{gathered} C=2\pi\ast2.3 \\ \\ C=6.28\ast2.3 \\ \\ C=14.45\text{ inches} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/6md83nsezwysavjh2mg2z46qoodwoxf57z.png)
Therefore, the circumference of the paint can is 14.45 inches
ANSWER:
14.45 inches