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 * r²**

Where:

Arepresents thearea(square footage in this case)π(pi) is approximately3.14159ris theradiusof 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)²**

Where **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= 56.253.14159 ≈ *176.71 sq ftRounded 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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