To find the total length of 8 diameters of the baseball bat handle, you first need to determine the value of the diameter in inches.
The diameter is given as \(1 \frac{3}{4}\) inches, which can be converted to an improper fraction:
\[ 1 \frac{3}{4} = \frac{4}{4} + \frac{3}{4} = \frac{7}{4} \text{ inches} \]
Next, to find the total length of 8 such diameters, you multiply the diameter by 8:
\[ 8 \times \frac{7}{4} = \frac{56}{4} = 14 \text{ inches} \]
So, the total length of 8 diameters of the handle is 14 inches.