Let us write out the formula for the circumference of a circle,
[tex]\begin{gathered} \text{Circumference of a circle=}\pi D \\ \text{where D is the Diameter} \end{gathered}[/tex]Let us write out the given data,
[tex]\begin{gathered} \text{Diameter}=\text{?} \\ \text{Circumference of a circle=}\pi\text{ in} \end{gathered}[/tex]Let us now solve for the diameter,
[tex]\begin{gathered} Circumference=\pi D \\ \pi=\pi D \\ \text{Divide both sides by }\pi \\ \frac{\pi}{\pi}=\frac{\pi D}{\pi} \\ 1=D \end{gathered}[/tex]Hence, the diameter of the circle is 1 in.
