Understanding area conversions between different units is essential in fields like engineering, surveying, and geography. This article explains how to convert square inches (in²) to square kilometers (km²).
To convert square inches to square kilometers, you need to use the following conversion factors:
1 inch = 0.0254 meters
Therefore, 1 in² = (0.0254 m)² = 0.00064516 m²
Since 1 kilometer = 1,000 meters, then:
1 km² = (1,000 m)² = 1,000,000 m²
To convert square meters to square kilometers:
1 m² = 1 / 1,000,000 km² = 0.000001 km²
Now, combine the conversions:
1 in² = 0.00064516 m² × 0.000001 km²/m² = 6.4516 × 10−10 km²
So, to convert any area from in² to km², multiply the area in in² by 6.4516 × 10−10.
Example:
Convert 1,000,000 in² to km²:
Area = 1,000,000 in² × 6.4516 × 10−10 km²/in² = 0.00064516 km²
By following these steps, you can accurately convert square inches to square kilometers for any application.