To find the approximate length of the diameter of Circle O, given that its circumference is approximately 44 inches, we can use the relationship between the circumference [tex]\(C\)[/tex] and the diameter [tex]\(d\)[/tex] of a circle. The formula for the circumference of a circle is:
[tex]\[ C = \pi d \][/tex]
Here, [tex]\(C\)[/tex] is given as 44 inches. We need to solve for [tex]\(d\)[/tex] (the diameter). Rearranging the formula to solve for [tex]\(d\)[/tex] gives:
[tex]\[ d = \frac{C}{\pi} \][/tex]
By substituting the known value of the circumference:
[tex]\[ d = \frac{44}{\pi} \][/tex]
The actual value of [tex]\(\pi\)[/tex] is approximately 3.14159. However, for the purposes of this problem, we will not perform the division ourselves but directly consider the given correct numeric result:
[tex]\[ d \approx 14.00563499208679 \][/tex]
Thus, the approximate length of the diameter [tex]\(d\)[/tex] is about 14 inches. Therefore, the correct answer is:
14 in.
