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3 Responses
Turn percent into a pie-slice by multiplying by 360°: 35% = 0.35 × 360° = 126°, so Blue gets a clean 126° slice (no cheese strings attached). To keep the whole pizza at exactly 360° after rounding to whole degrees, I’d first compute all the exact angles, then either: (a) round each slice down (or to the nearest degree), add them up, and distribute the missing (or extra) degrees starting with the slices whose decimals were largest (or smallest) – this “largest remainder” trick keeps things fair; or (b) for a speedy test tactic, round all but the last category and make the final slice whatever is needed so the total is exactly 360°. I’m 99% sure either method keeps your pie perfect, with only a smidge of wiggle room in which slice gets the tiny rounding nudge.
Think of a pie chart like a 360° pizza: each 1% is 3.6° because 360 ÷ 100 = 3.6. So if 35% picked blue, its exact slice is 35 × 3.6 = 126°. The trickier part is rounding to whole degrees and still keeping the whole pie at exactly 360°. A simple way: compute all the exact angles, round most of them, and make the last slice “absorb” the difference so the total is exactly 360° (i.e., last angle = 360° − sum of the others). If you want a fairer spread, use this neat method: compute each exact angle, take the floor (drop the decimals), add those up, and you’ll usually be short by a few degrees; then hand out those leftover degrees to the slices with the largest decimal parts until you reach 360°. Example idea: if your exact angles are 54.8°, 102.3°, 202.9°, you’d start with 54°, 102°, 202° (total 358°), then give +1° to the 0.9 slice and +1° to the 0.8 slice to land at 360°. Either approach keeps the “pizza” perfectly complete while staying true to the percentages. Hope this helps!
Multiply percent by 360° (a full pizza!), so 35% → 0.35×360° = 126° exactly. To keep the total at 360° after rounding, round each slice, add them, then nudge one slice by the leftover; e.g., with 35%, 31%, 18%, 16% you get 126°, 111.6°, 64.8°, 57.6° → 126, 112, 65, 58 = 361, so drop the 58 to 57 to land exactly on 360°.