To find the approximate circumference of a circle given its diameter, we use the formula for circumference, which is:
[tex]\[ C = \pi \times d \][/tex]
where:
- [tex]\( C \)[/tex] is the circumference,
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14,
- [tex]\( d \)[/tex] is the diameter of the circle.
Given that the diameter [tex]\( d \)[/tex] of the circle is [tex]\(\frac{1}{2}\)[/tex] inch, we can plug this value into the formula to find the circumference.
So,
[tex]\[ C = 3.14 \times \frac{1}{2} \][/tex]
Now, perform the multiplication:
[tex]\[ C = 3.14 \times 0.5 \][/tex]
This results in:
[tex]\[ C = 1.57 \][/tex]
Therefore, the approximate circumference of the circle is:
[tex]\[ 1.57 \][/tex] in.