A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

A. 26 inches [tex]\(\left(\frac{1 \text{ inch}}{25.4 \text{ millimeters}}\right)\)[/tex]

B. 26 inches [tex]\(\left(\frac{25.4 \text{ millimeters}}{1 \text{ inch}}\right)\)[/tex]

C. 25.4 inches [tex]\(\left(\frac{1 \text{ millimeter}}{26 \text{ inches}}\right)\)[/tex]

D. 26 inches [tex]\(\left(\frac{1 \text{ millimeter}}{25.4 \text{ inches}}\right)\)[/tex]



Answer :

To convert the diameter of the bike wheel from inches to millimeters, follow these steps:

1. Understand the problem: We need to convert the diameter of the bike wheel from inches to millimeters, knowing that 1 inch is equivalent to 25.4 millimeters.

2. Identify the given information:
- The diameter of the bike wheel is 26 inches.
- The conversion factor is [tex]\( 1 \text{ inch} = 25.4 \text{ millimeters} \)[/tex].

3. Set up the conversion:
We need to multiply the diameter in inches by the conversion factor to get the diameter in millimeters. This can be written as:
[tex]\[ 26 \text{ inches} \times 25.4 \text{ millimeters per inch} \][/tex]

4. Perform the multiplication:
[tex]\[ 26 \text{ inches} \times 25.4 \text{ millimeters per inch} = 660.4 \text{ millimeters} \][/tex]

So, the diameter of the bike wheel in millimeters is [tex]\( 660.4 \text{ millimeters} \)[/tex].

The correct option among the given choices is:
[tex]\[ 26 \text{ inches} \left( \frac{25.4 \text{ millimeters}}{1 \text{ inch}} \right) \][/tex]

This option correctly sets up the multiplication needed to convert inches to millimeters.