# R5 | google/gemini-3.6-flash | run 2

## Prompt

How many kilometers are in 100 miles? Show the conversion factor and cite a source for it.

## Response

There are **160.9344 kilometers** in 100 miles. This calculation uses the internationally defined standard conversion factor where 1 mile is exactly equal to 1.609344 kilometers.

## Distance Calculation

To convert miles to kilometers, multiply the length in miles by the exact conversion factor:

\( 1 \text{ mile} = 1.609344 \text{ kilometers} \)

Applying this factor to 100 miles:

\[ 100 \text{ miles} \times 1.609344 \frac{\text{km}}{\text{mile}} = 160.9344 \text{ km} \]

## Standard Conversion Factor and Reference

The conversion factor between standard international miles and the metric system was established in 1959 through the International Yard and Pound Agreement. Under this definition, 1 international mile equals exactly 1,609.344 meters, or 1.609344 kilometers [NIST SI Guide](https://www.nist.gov/pml/special-publication-811).

* **Exact factor:** \( 1 \text{ mi} = 1.609344 \text{ km} \)
* **Approximate factor:** \( 1 \text{ mi} \approx 1.609 \text{ km} \)

Would you like to convert a different distance measurement or learn how nautical miles differ from international miles?
