Use our square footage of a circle calculator to convert the area of a circular space in square feet, using formula A = π * r².
Square Footage of a Circle Calculator
| Diameter | Square Footage | Square Meters | Square Yards |
|---|---|---|---|
| 1 ft | 0.79 sq ft | 0.07 sq m | 0.09 sq yd |
| 2 ft | 3.14 sq ft | 0.29 sq m | 0.37 sq yd |
| 3 ft | 7.07 sq ft | 0.66 sq m | 0.84 sq yd |
| 4 ft | 12.57 sq ft | 1.17 sq m | 1.51 sq yd |
| 5 ft | 19.63 sq ft | 1.82 sq m | 2.18 sq yd |
| 6 ft | 28.27 sq ft | 2.63 sq m | 3.39 sq yd |
| 7 ft | 38.48 sq ft | 3.58 sq m | 4.68 sq yd |
| 8 ft | 50.27 sq ft | 4.67 sq m | 6.14 sq yd |
| 9 ft | 63.62 sq ft | 5.91 sq m | 7.93 sq yd |
| 10 ft | 78.54 sq ft | 7.29 sq m | 8.73 sq yd |
| 11 ft | 95.03 sq ft | 8.82 sq m | 10.65 sq yd |
| 12 ft | 113.10 sq ft | 10.50 sq m | 13.57 sq yd |
| 13 ft | 132.73 sq ft | 12.34 sq m | 15.90 sq yd |
| 14 ft | 153.94 sq ft | 14.30 sq m | 18.86 sq yd |
| 15 ft | 176.71 sq ft | 16.41 sq m | 19.63 sq yd |
| 16 ft | 201.06 sq ft | 18.66 sq m | 24.03 sq yd |
| 17 ft | 226.98 sq ft | 21.07 sq m | 27.07 sq yd |
| 18 ft | 254.47 sq ft | 23.62 sq m | 30.43 sq yd |
| 19 ft | 283.53 sq ft | 26.30 sq m | 34.49 sq yd |
| 20 ft | 314.16 sq ft | 29.17 sq m | 34.91 sq yd |
| 21 ft | 346.37 sq ft | 32.29 sq m | 41.60 sq yd |
| 22 ft | 380.14 sq ft | 35.54 sq m | 46.83 sq yd |
| 23 ft | 415.48 sq ft | 38.98 sq m | 52.20 sq yd |
| 24 ft | 452.39 sq ft | 42.19 sq m | 56.71 sq yd |
| 25 ft | 490.87 sq ft | 45.59 sq m | 54.54 sq yd |
Conversion Equations Used:
- Square Meters = Square Feet × 0.092903
- Square Yards = Square Feet × 0.111111
Square Footage of a Circle Formula
The formula for calculating the square footage of a circle is:
A = π * r²Where:
- A represents the area (square footage in this case)
- π (pi) is approximately 3.14159
- r is the radius of the circle
To convert this to square feet, we need to ensure our measurements are in feet. If the diameter is given instead of the radius, we can modify the formula to:
Square Footage = π * (d/2)²Where d is the diameter of the circle.
If you have a circular room with a diameter of 20 feet, the calculation would be:
Square Footage = π * (20/2)²
Square Footage = 3.14159 * 10²
Square Footage = 3.14159 * 100
Square Footage ≈ 314.16 sq ft
How to calculate the square footage of a circle?
- Measure the diameter: If you don’t already know the diameter, measure it using a tape measure. Ensure you’re measuring in feet.
- Calculate the radius: Divide the diameter by 2 to get the radius.
- Square the radius: Multiply the radius by itself.
- Multiply by pi: Take the squared radius and multiply it by π (3.14159).
- Round the result: Round to the desired number of decimal places.
Let’s calculate the square footage of a circular gazebo with a diameter of 15 feet:
Diameter = 15 feet
Radius = 15 / 2 = 7.5 feet
Radius squared = 7.5 * 7.5 = 56.25
Area = 56.25 3.14159 ≈ *176.71 sq ft
Rounded to two decimal places: 176.71 sq ft
How many square feet are in a 12 foot diameter circle?
A circle with a 12-foot diameter has approximately 113.10 square feet of area.
Let’s apply the formula to calculate the square footage of a 12-foot diameter circle:
- Diameter = 12 feet
- Radius = 12 / 2 = 6 feet
- Radius squared = 6 * 6 = 36
- Area = 36 3.14159 ≈ *113.10 sq ft
This calculation can be useful in various scenarios.
When installing a circular hot tub with a 12-foot diameter, you now know it will occupy about 113 square feet of space.
For a round table with a 12-foot diameter, you can determine how much floor space it will take up in a dining room or conference hall.
If you’re planning a circular garden bed, this calculation helps you estimate how much soil or mulch you’ll need to cover the area.
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