The chart
Previews show the thin outline — the one-block ring you would build as a wall or a tower. "Interior" is what a flood-fill costs on top of that ring. Every diameter links through to the generator with the size already loaded.
Every circle from diameter 5 to 32, with its pattern, its exact block cost and the length of the flat run you should place first. Built for choosing a size — no sliders, no guessing, just the whole range on one page.
Previews show the thin outline — the one-block ring you would build as a wall or a tower. "Interior" is what a flood-fill costs on top of that ring. Every diameter links through to the generator with the size already loaded.
| Pattern | Diameter | Outline | Filled | Interior | Flat run | πd | πd²/4 |
|---|---|---|---|---|---|---|---|
| 5 | 12 | 21 | 9 | 3 | 15.7 | 20 | |
| 6 | 16 | 32 | 16 | 4 | 18.8 | 28 | |
| 7 | 16 | 37 | 21 | 3 | 22.0 | 38 | |
| 8 | 20 | 52 | 32 | 4 | 25.1 | 50 | |
| 9 | 24 | 69 | 45 | 5 | 28.3 | 64 | |
| 10 | 28 | 80 | 52 | 4 | 31.4 | 79 | |
| 11 | 28 | 97 | 69 | 5 | 34.6 | 95 | |
| 12 | 32 | 112 | 80 | 4 | 37.7 | 113 | |
| 13 | 36 | 137 | 101 | 5 | 40.8 | 133 | |
| 14 | 36 | 156 | 120 | 6 | 44.0 | 154 | |
| 15 | 40 | 177 | 137 | 5 | 47.1 | 177 | |
| 16 | 44 | 208 | 164 | 6 | 50.3 | 201 | |
| 17 | 48 | 225 | 177 | 5 | 53.4 | 227 | |
| 18 | 48 | 256 | 208 | 6 | 56.5 | 254 | |
| 19 | 52 | 293 | 241 | 7 | 59.7 | 284 | |
| 20 | 56 | 316 | 260 | 6 | 62.8 | 314 | |
| 21 | 56 | 349 | 293 | 7 | 66.0 | 346 | |
| 22 | 60 | 384 | 324 | 6 | 69.1 | 380 | |
| 23 | 64 | 421 | 357 | 7 | 72.3 | 415 | |
| 24 | 64 | 448 | 384 | 6 | 75.4 | 452 | |
| 25 | 68 | 489 | 421 | 7 | 78.5 | 491 | |
| 26 | 72 | 540 | 468 | 8 | 81.7 | 531 | |
| 27 | 76 | 577 | 501 | 7 | 84.8 | 573 | |
| 28 | 76 | 616 | 540 | 8 | 88.0 | 616 | |
| 29 | 80 | 665 | 585 | 7 | 91.1 | 661 | |
| 30 | 84 | 716 | 632 | 8 | 94.2 | 707 | |
| 31 | 84 | 749 | 665 | 7 | 97.4 | 755 | |
| 32 | 88 | 812 | 724 | 8 | 100.5 | 804 |
Outline and filled counts are exact. The last two columns are the continuous-geometry values for the same diameter, shown for comparison only — a block grid cannot hit them exactly.
Say you want a round tower roughly 15 blocks across, 24 blocks tall, and you have about 15 stacks of stone. Three rows of the chart answer the whole question. Diameter 13 costs 36 blocks per ring, 15 costs 40, and 17 costs 48. Multiply by 24 courses: 864, 960 and 1152 blocks respectively. Fifteen stacks is 960 blocks, so diameter 13 leaves you 96 blocks spare, diameter 15 lands on exactly 960 — your entire budget to the block — and diameter 17 needs 1152, or 18 stacks, which you do not have. Take the 13 if you want margin for mistakes, or the 15 if you are confident and willing to mine one more stack.
The most useful pattern in this table is that the outline count does not rise at every step. Going up one block in diameter sometimes costs you nothing at all. In the 5-to-32 range that happens at diameters 7, 11, 14, 18, 21, 24, 28, 31.
The clearest case is 13 → 14. Both need exactly 36 outline blocks, but the 14-block circle encloses a bigger space — 120 interior blocks against 101. If you are building a hollow tower and the exact diameter does not matter, choosing 14 over 13 is free floor space. The same logic applies at every diameter on that list.
Why does it happen? The outline count is forced to be a multiple of 4 by the four-fold mirror symmetry of the pattern, so it can only ever jump in steps of 4. A one-block increase in diameter often is not enough to add a full set of four mirrored blocks, so the count holds and the extra size comes for free.
Odd diameters have a single centre block, which gives you an unambiguous point to measure from — useful when you are aligning a circle to an existing structure, a beacon or a portal. Even diameters have a two-by-two centre and a seam rather than a middle block, which suits builds that need a symmetric pair of anything down the middle, such as a double door or a two-block-wide walkway.
The flat-run column does not climb steadily with diameter — it oscillates. Diameter 9 has a 5-block run while the larger diameter 10 has only 4; diameter 19 has 7 while diameter 20 has 6. But it is not random either, and the underlying relationship is worth knowing if you build a lot of circles.
Put the top row of a circle at a height of roughly d/2 above the centre and solve the circle equation for the remaining half-width, and the run works out at about √(2d). For diameter 32 that predicts √64 = 8, which is exactly right. For diameter 18 it predicts √36 = 6, also exact. We checked it against the real counts for every diameter from 5 to 256: the estimate lands within one block every single time, and rounds to the exact value in half of the 5-to-32 range.
Treat it as a derived approximation rather than a rule — it tells you whether to expect a 6-block or a 9-block starting run before you open the tool, which is usually all you need. When it matters to the block, read the exact value off the table.
The generator below is loaded with diameter 24 — 64 outline blocks, 448 filled — one of the plateau sizes from the list above. Change the diameter, switch between outline and filled, or download the pattern as a PNG.
64 blocks in this shape
1 × 64 · top row is a flat run of 6 blocks
Runs entirely in your browser — nothing you type is sent anywhere.
Comparing sizes before you commit to one. The interactive generator is better once you know what you want, but when you are still deciding between a 15-block and a 21-block tower it is far quicker to see every option, its silhouette and its block cost on one page than to drag a slider back and forth.
Because the outline count only changes when the rasterized ring actually gains blocks, and it does not gain one at every step. In this range, diameters 7, 11, 14, 18, 21, 24, 28, 31 each need exactly the same number of outline blocks as the diameter one smaller. That makes them good value: you get a full block of extra size on both axes for no extra material. Diameter 14 is the clearest example — same 36 blocks as diameter 13, but a bigger footprint.
Diameter 13 (36 outline blocks) is the standard tutorial circle and the smallest size that reads as convincingly round. Diameter 16 matters because it is exactly one chunk wide, so it aligns with chunk borders — useful for redstone and for farms. And it is worth memorising one plateau pair, such as 13 and 14: both cost 36 outline blocks, so the larger one is free.
Because the outline is a chamfered block path, not a curve. The thin style removes redundant corner blocks so the ring is one block thick everywhere, and cutting those corners makes the path shorter than the true circumference. The chart shows both numbers side by side so you can see the size of the gap — the outline runs consistently below πd across the whole range.
Yes. These are block placement plans, not commands or schematic files, so nothing here depends on the edition or the version. The same numbers work in Java, Bedrock, Education Edition, on console, and in any other voxel builder that uses a cubic grid.
The chart stops at 32 because that covers almost every hand-built structure, and the table stays readable. The generator itself goes up to 256 blocks on each axis, so set any larger diameter there and read the exact count off the counter.