Square Yard Calculator
Enter your dimensions to find an area in square yards instantly. Choose from four common shapes: rectangle, circle, triangle, or rectangular border. Switch between inches, feet, yards, centimetres, and metres for each dimension. Add an optional price per square yard to get a total material cost. Results also show the equivalent area in square feet, square metres, acres, and square inches.
Formula
Worked example
A 12 ft x 9 ft room: convert to yards (12/3 = 4 yd, 9/3 = 3 yd), then multiply: 4 x 3 = 12 yd². At $18/yd² for carpet, the cost is 12 x $18 = $216.
What is a square yard and how is it calculated?
A square yard (yd²) is a unit of area equal to a square that is exactly one yard (3 feet, or 36 inches) on each side. It is widely used in the United States and United Kingdom for measuring flooring, carpet, sod, fabric, and land. One square yard equals 9 square feet, 1,296 square inches, or approximately 0.836 square metres. For a rectangle the area is simply length multiplied by width. For a circle it is pi times the radius squared. For a triangle it is half the base times the perpendicular height. For a rectangular border (such as a garden edging or a tiled surround) you calculate the outer rectangle area minus the inner rectangle area. This calculator handles all four shapes and converts your input dimensions from any common unit (inches, feet, yards, centimetres, or metres) before computing the area in square yards.
Practical uses: flooring, carpet, sod, and material estimation
Square yards appear most often when shopping for carpet and carpet padding, which are almost always priced per square yard in North America. Sod, artificial turf, and ground cover are also sold by the square yard. Concrete, asphalt, and paving contractors sometimes quote jobs in square yards rather than square feet. To avoid running short, add a 5-10% overage when ordering any material. Cuts waste material at the edges, and patterns in carpet or tile may require extra for matching. For irregularly shaped rooms, break the space into simple shapes (rectangles, triangles), calculate each one here, and add the results together.
Converting between square yards, square feet, and square metres
Because the US market uses both square feet and square yards while most of the world uses square metres, quick conversions are essential when comparing product listings or contractor quotes. The relationships are exact: 1 yd² = 9 ft² and 1 yd = 3 ft (so 3 x 3 = 9). To convert square feet to square yards, divide by 9. To go the other way, multiply by 9. The metric conversion is 1 yd² = 0.83613 m², or equivalently 1 m² = 1.19599 yd². This calculator shows all five conversions (sq yd, sq ft, sq in, m², and acres) automatically when you enter your dimensions.
Cost estimation: price per square yard
The optional price-per-square-yard field multiplies the calculated area by your unit price to give a quick material cost estimate. For carpet, this is typically between $10 and $40 per square yard for the material alone; add $3-$10/yd² for professional installation. For natural stone or premium hardwood flooring sold by the square yard, costs can reach $50-$100/yd². The estimate covers materials only. Labor, adhesives, underlayment, transition strips, and waste disposal are separate costs. Use this number as a budget starting point and get quotes from suppliers for accurate pricing.
Square yard unit conversions
| Unit | Equivalent to 1 sq yd | Notes |
|---|---|---|
| Square feet (ft²) | 9 | 3 ft x 3 ft = 1 sq yd |
| Square inches (in²) | 1,296 | 36 in x 36 in |
| Square metres (m²) | 0.8361 | SI area unit |
| Square centimetres | 8,361.3 | Useful for fabric/sewing |
| Acres | 1/4,840 | 4,840 sq yd = 1 acre |
| Square miles | 1/3,097,600 | Large land measurements |
1 square yard expressed in common area units.
Frequently asked questions
How many square feet are in a square yard?
There are exactly 9 square feet in one square yard. Because 1 yard equals 3 feet, a square yard is 3 feet x 3 feet = 9 square feet. To convert square feet to square yards, divide by 9. To convert square yards to square feet, multiply by 9.
How do I calculate square yards for carpet?
Measure the length and width of the room in feet, multiply them together to get square feet, then divide by 9 to get square yards. Add 5-10% for cuts and waste. For L-shaped rooms, split the area into two rectangles, calculate each separately, and add the results. Enter your room dimensions in the calculator above and it will handle the conversion automatically.
How do I convert square feet to square yards?
Divide the square footage by 9. For example, a 180 square foot room is 180 / 9 = 20 square yards. This works because one linear yard equals three feet, so one square yard equals 3 x 3 = 9 square feet.
How do I calculate square yards for a circular area?
Use the formula: area = pi x r², where r is the radius (half the diameter) in yards. If your diameter is in feet, divide it by 6 (or divide the radius by 3) to get yards first. Select "Circle" in this calculator, enter the diameter in any unit, and the result is shown in square yards automatically.
Why do carpet stores use square yards instead of square feet?
Carpet is manufactured on rolls that are typically 12 feet wide. Quoting by the square yard (a larger unit) keeps the price per unit higher than per square foot, which is a common industry convention. A carpet priced at $18/yd² costs $2/ft² (18 / 9 = 2), which may sound more appealing. Always check which unit a price uses before comparing quotes.