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Try an Example
Pick a scenario to see how the calculator works, then adjust the values
Living Room
Calculate the area of a typical living room
Key values: 20 × 15 ft · Rectangle · 300 ft²
Circular Patio
Calculate the area of a round patio or garden bed
Key values: 12 ft diameter · Circle · ~113 ft²
Triangular Garden
Calculate the area of a triangular garden plot
Key values: 10 × 12 × 8 ft · Triangle · ~40 ft²
Documentation Contents
Understanding Square Footage
Calculate area for common shapes and convert results across multiple units.
This calculator estimates the area for six shapes: rectangle, rectangle with border, circle, circle with border, triangle, and trapezoid. You can choose a measurement unit, calculate area in several units at once, and optionally estimate material cost using a price per area.
Inputs Glossary
Field-by-field guide to what each input means.
| Input | What to Enter | Notes |
|---|---|---|
| Shape | Rectangle, Rectangle Border, Circle, Circle Border, Triangle, Trapezoid | Controls which dimensions appear. |
| Measurement Unit | cm, in, ft, yd, m | All dimensions use the selected unit. |
| Rectangle | Length, Width | Basic area input. |
| Rectangle Border | Length, Width, Border Width | Calculates the border area around a rectangle. |
| Circle | Diameter | Radius is derived from diameter. |
| Circle Border | Diameter, Border Width | Calculates the ring area. |
| Triangle | Side A, Side B, Side C | Uses Heron's formula with three sides. |
| Trapezoid | Parallel Side A, Parallel Side B, Height | Height is the perpendicular distance between sides. |
| Quantity | Number of identical areas | Multiplies total cost. |
| Price | Price per selected unit | Set to 0 if you only need area. |
| Price Per | Per square meter, foot, inch, or yard | Matches the unit used for cost calculation. |
How to Use This Calculator
Follow these steps to calculate area and cost.
- Select a shape from the buttons.
- Choose your measurement unit.
- Enter the required dimensions for the selected shape.
- Optional: enter quantity and price to estimate total cost.
- Click Calculate to see results, or Reset to clear.
Shape Guide and Formulas
The formula used for each shape.
Rectangle
Inputs: length, width.
Formula:
Rectangle Border
Inputs: length, width, border width.
Formula:
Circle
Input: diameter.
Formula:
Circle Border
Inputs: diameter, border width.
Formula:
Triangle
Inputs: sides A, B, C.
Formula: ,
Trapezoid
Inputs: parallel sides A and B, height.
Formula:
Cost Estimate
Use price per unit to estimate material cost.
- Quantity multiplies the total cost for multiple identical spaces or pieces.
- Price Per uses the matching area unit (square meter, foot, inch, or yard).
- The Total Cost card only appears when a price is provided.
Interpreting Results
How to read the outputs on the results screen.
- The main results show square feet and square meters, plus total cost if provided.
- The conversions panel lists square inches, square yards, acres, and hectares.
- The Quick Rectangle Calculator always uses feet, regardless of the main unit selection.
Worked Examples
Step-by-step calculations with real numbers.
Example 1: Rectangular Living Room
A living room measures 20 ft long by 15 ft wide.
Converted: 300 ft² = 27.87 m² = 43,200 in² = 33.33 yd²
At $5.50/ft² for hardwood flooring with 1 quantity: $1,650.00 total.
Example 2: Circular Patio
A circular patio has a diameter of 12 ft.
Converted: 113.10 ft² = 10.51 m² = 16,286.02 in²
At $8.00/ft² for pavers: $904.78 total.
Example 3: Triangular Garden Bed
A triangular garden bed has sides of 5 m, 6 m, and 7 m.
,
Converted: 14.70 m² = 158.22 ft² = 17.58 yd²
At $12.00/m² for mulch with 2 beds: $352.77 total.
Example 4: Trapezoid Driveway Section
A driveway section has parallel sides of 10 ft and 6 ft with a height of 4 ft.
Converted: 32 ft² = 2.97 m² = 4,608 in² = 3.56 yd²
Applications
Common uses for area calculations.
Construction
- Flooring and tile estimation
- Paint and drywall planning
- Project cost estimates
Real Estate
- Room or home size comparisons
- Listing and appraisal prep
- Space planning
Landscaping
- Seed or sod calculations
- Mulch or gravel coverage
- Garden layout planning
Frequently Asked Questions
Common questions about area calculations.
How do I calculate the square footage of an irregularly shaped room?
Break the room into basic shapes like rectangles, triangles, or circles. Calculate the area of each shape separately, then add them together for the total square footage.
What is the difference between square feet and square meters?
One square meter equals approximately 10.764 square feet. Square feet are commonly used in the US and UK for real estate, while square meters are the international standard (SI unit).
How much extra flooring material should I buy?
Purchase 10–15% more material than the calculated area to account for cuts, waste, and pattern matching. For diagonal installations, add 15–20% extra.
Does this calculator account for walls and obstacles?
This calculator computes raw geometric area. Subtract the footprint of permanent fixtures such as fireplaces, columns, or built-in cabinets from the total for an accurate usable-area figure.
Why does the triangle calculation sometimes show no result?
The three sides must satisfy the triangle inequality: the sum of any two sides must be greater than the third side. If this condition is not met, a valid triangle cannot be formed and no area is returned.
Measurement Accuracy
Accuracy tips and limitations.
- Use consistent units. Convert mixed measurements before entering values.
- Triangle sides must satisfy the triangle inequality, or no result will be shown.
- Border widths should be smaller than half of the shape dimensions to avoid invalid geometry.
- Results are rounded to 6 decimal places.
- Measurement standards like gross vs livable area vary by region. This calculator reports raw geometric area.
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