Circumference Calculator
A circumference calculator uses C = π × diameter, so a circle 10 ft across measures 31.416 ft around and a 24 ft round pool measures 75.398 ft around.
How to calculate circumference
This circumference calculator multiplies the diameter of a circle by π (pi, about 3.14159) to give the distance around it. The formula is C = π × d. A circle 10 ft across measures 31.416 ft around. That is the length of edging, coping, fencing, or banding you need to wrap it once.
Enter the diameter in feet and the result is in feet, shown to three decimal places. You can also enter inches or meters, and the answer comes back in the same unit.
What π means
Take any round object, such as a bucket lid, a pool, or a tree trunk. Wrap a string around it, then lay the string straight across the middle. The string is always just over three times as long as the distance across, and the exact ratio is 3.14159. That ratio is π. Because it never changes, you only need one measurement, the diameter, to know the distance around.
If you measured the radius (center to edge), double it first: d = 2 × r.
Worked examples
- Round above-ground pool, 24 ft across
- C = 3.14159 × 24 = 75.398 ft
- If the ledge or trim is sold in 8 ft pieces: 75.398 ÷ 8 = 9.4, so buy 10 pieces.
- Concrete column form, 18 inches across
- Enter 1.5 (ft): C = 3.14159 × 1.5 = 4.712 ft, or about 56.5 in
- Or enter 18 (in): C = 56.549 in
That is the width of decorative wrap or trim needed to go around the column once. Add a few inches for the overlap at the seam.
Circumference reference table
| Diameter | Circumference | Typical object |
|---|---|---|
| 4 in | 12.566 in | Drain or downspout pipe |
| 8 in | 25.133 in | Sonotube for deck footing |
| 12 in | 37.699 in | Sonotube for porch post |
| 18 in | 56.549 in | Round column |
| 4 ft | 12.566 ft | Fire pit ring |
| 10 ft | 31.416 ft | Round patio or garden bed |
| 12 ft | 37.699 ft | Stock tank or small pool |
| 15 ft | 47.124 ft | Above-ground pool |
| 18 ft | 56.549 ft | Above-ground pool |
| 24 ft | 75.398 ft | Above-ground pool |
| 30 ft | 94.248 ft | Large round pool or tank |
Each step up of 1 ft in diameter adds 3.14 ft to the distance around, whatever size you start from.
How to measure the diameter
- Go through the center. The diameter is the longest straight line across the circle. If you are not sure where the center is, swing the tape slightly. The longest reading is the diameter.
- For big circles, measure twice at right angles. Pools and patios are often slightly oval. Average the two readings.
- For trunks, posts, and pipes, measure around instead. Wrap a flexible tape, then divide by π to get the diameter.
- Decide inside or outside. Edging that sits outside a ring needs the outside diameter. A liner or seat inside it needs the inside diameter. On a pool, the two can differ by a foot or more.
Common mistakes
- Entering the radius as the diameter. Your answer comes out half the real length. If a 24 ft pool shows 37.7 ft, you entered 12.
- Using 3 for π. On a 30 ft circle that short-changes you by 4.25 ft, which is more than half of an 8 ft trim piece.
- Forgetting overlap and joints. Flexible edging, banding, and liner beads need extra at the joint. Rigid sections often need one extra piece to finish the ring.
- Mixing up circumference and area. Coping and edging follow the circumference. Concrete, gravel, or sod for the same circle follow the area. Use the cylinder volume calculator for anything with depth.
Related tools
For round pools, the round pool calculator turns the same diameter into gallons. For straight runs of trim or edging, the linear feet calculator and the perimeter of a rectangle calculator cover square shapes.
Frequently asked questions
What's the formula for circumference?
C = π × d, where d is the diameter and π is about 3.14159. A circle 10 ft across is 3.14159 × 10 = 31.416 ft around. Using the radius instead, the same formula is C = 2 × π × r.
What if I only know the radius, not the diameter?
Double the radius to get the diameter, then enter that. A circle with a 6 ft radius has a 12 ft diameter and a circumference of 37.699 ft.
How do I find the diameter if I can only measure around something?
Run the formula backwards: diameter = circumference ÷ π. A tree trunk that measures 94 in around is about 94 ÷ 3.1416 = 29.9 in across. This is how arborists get trunk diameter with a plain tape.
Can I enter inches instead of feet?
Yes. The field is labeled feet, but the formula has no unit inside it. Enter a diameter in inches and the answer comes out in inches; enter meters and it comes out in meters.
How is circumference different from area?
Circumference is the length of the edge, in feet. Area is the surface inside, in square feet, and it equals π × r². Doubling the diameter doubles the circumference but quadruples the area.
Estimates only. Verify quantities with your supplier before purchasing.