Inches to Square Feet Calculator
How to Calculate Inches to Square Feet
Calculating square footage from inch measurements is a fundamental skill for home improvement projects, flooring installations, and interior design. Because a square foot is a measurement of area and an inch is a measurement of length, the conversion requires accounting for both dimensions.
The Standard Formula
To convert measurements in inches to square feet, you use the following formula:
Why Divide by 144?
The number 144 is critical because it represents the number of square inches in one square foot. Since 1 foot equals 12 inches, 1 square foot is a square that is 12 inches long and 12 inches wide (12 × 12 = 144).
Step-by-Step Calculation Guide
- Measure the Length: Use a tape measure to find the length of the surface in inches.
- Measure the Width: Find the width of the surface in inches.
- Multiply Dimensions: Multiply the length by the width to get the total area in square inches.
- Divide by 144: Take that total and divide it by 144 to convert the area into square feet.
Example Calculation
Suppose you have a wooden board that is 48 inches long and 24 inches wide.
- Step 1: 48 × 24 = 1,152 square inches.
- Step 2: 1,152 ÷ 144 = 8 square feet.
Common Conversions Table
| Length x Width (Inches) | Total Square Inches | Square Feet (sq ft) |
|---|---|---|
| 12″ x 12″ | 144 sq in | 1 sq ft |
| 24″ x 24″ | 576 sq in | 4 sq ft |
| 36″ x 36″ | 1,296 sq in | 9 sq ft |
| 48″ x 96″ | 4,608 sq in | 32 sq ft |
Frequently Asked Questions
Yes. You can divide each measurement by 12 to get decimal feet, then multiply them. For example: (48″ ÷ 12) × (24″ ÷ 12) = 4ft × 2ft = 8 sq ft. Both methods yield the same result.
For irregular shapes, break the area down into smaller rectangles, calculate the square footage for each using the formula above, and then add the results together.
Measure the radius (r) in inches. Use the formula: (π × r²) ÷ 144. For example, a 20-inch radius circle is (3.14159 × 400) ÷ 144 ≈ 8.73 sq ft.