Will a recliner (75x91x100 cm) Fit in a Space?

Will a recliner (75x91x100 cm) Fit in a Space?

+<1 in clearance

· ON THE WIDTH AXIS

It fits, with almost no clearance.

The width axis is the tightest, and it still clears.
A 1.5 in handling allowance is already subtracted.
No tilting or compression needed.

29 in vs 30 in

Clearance +0.5 in (+1.7%) on the WIDTH axis

AOptimal diagonal angle✓ PASS

\theta_{\text{opt}} = \arctan\!\left(\dfrac{h}{w}\right)

↓ SUBSTITUTE

\arctan\!\left(\dfrac{39.5}{29.5}\right)

Plain English: Closed-form angle that minimizes the rotated bounding box height.

BMinimum projected height at diagonal✓ PASS

h_{\min} = \dfrac{2\,w\,h}{\sqrt{w^2 + h^2}}

↓ SUBSTITUTE

\dfrac{2 \cdot 29.5 \cdot 39.5}{\sqrt{29.5^2 + 39.5^2}}

Plain English: Smallest projected height achievable when rotating the item.

CProjected width at angle✓ PASS

\text{projW}(\theta) = w\cos\theta + h\sin\theta

↓ SUBSTITUTE

29.5\cos(0^\circ) + 39.5\sin(0^\circ)

Plain English: Width of the item rotated by θ.

DProjected height at angle✓ PASS

\text{projH}(\theta) = w\sin\theta + h\cos\theta

↓ SUBSTITUTE

29.5\sin(0^\circ) + 39.5\cos(0^\circ)

Plain English: Height of the item rotated by θ.

EDiagonal clearance · Pythagorean✓ PASS

\sqrt{a^2 + b^2} \;\le\; \sqrt{a_{\text{sp}}^2 + b_{\text{sp}}^2}

↓ SUBSTITUTE

\sqrt{29.6^2 + 39.6^2} \;\overset{?}{\le}\; \sqrt{30^2 + 80^2}

↓ EVALUATE

49.5\,\text{in} \;\le\; 85.4\,\text{in} \;\Longrightarrow\; \Delta = +36\,\text{in}

Plain English: Tilted corner-to-corner the face spans 49.5 in, inside the opening's 85.4 in diagonal — but a tilt only buys diagonal room, it can't widen the throat.

F3D space diagonal✓ PASS

\mathcal{D}_{3D} = \sqrt{L^2 + W^2 + H^2}

↓ SUBSTITUTE

\sqrt{29.5^2 + 36^2 + 39.5^2}

↓ EVALUATE

61\,\text{in} \;\le\; 85.4\,\text{in} \;\Longrightarrow\; \Delta = +24.4\,\text{in}

Plain English: Corner to corner the item reaches 61 in — keep that swing room in mind for the turn after.

GMinimum required space · opening width✕ FAIL

d_{\text{req}} = d_{\text{item}} + t

↓ SUBSTITUTE

29.6 + 1.5 = 31.1

Plain English: Smallest space on the limiting axis that would admit this item (with handling tolerance).

HLargest item that fits · opening width✕ FAIL

d_{\max} = d_{\text{space}} - t

↓ SUBSTITUTE

30 - 1.5 = 28.5

Plain English: Largest item dimension this space admits on the limiting axis (after handling tolerance).

Orientation	Width	Height	Result	Note
✓ chosen30 in×3 ft 4 in (front/back)	-1 in	3 ft 3 in	✓
30 in×3 ft (laid flat)	-1 in	3 ft 6.5 in	✓
29 in×3 ft 3 in (front/back)	-1 in	3 ft 3 in	✕	Too wide
29 in×36 in (laid flat)	-1 in	3 ft 6.5 in	✕	Too wide
36 in×3 ft 3 in (sideways)	-7.5 in	3 ft 3 in	✕	Too wide
36 in×29 in (laid flat)	-7.5 in	4 ft 1 in	✕	Too wide
3 ft 3 in×29 in (front/back)	-11 in	4 ft 1 in	✕	Too wide
3 ft 3 in×36 in (sideways)	-11 in	3 ft 6.5 in	✕	Too wide

Margins shown are calculated; allow ±¼ in for tape-measure precision.

How the door-passage check works

A door is a 2D opening — width and height matter; depth (path length through the doorway) doesn’t.

Generate all 6 dimension permutations of the item (3 axes × 2 flips).
For each permutation, apply the door constraint: item_width ≤ door_width AND item_height ≤ door_height.
Subtract 1.5 in handling clearance from each axis to leave room for human movement.
Pick the permutation with the largest minimum-axis margin — that’s the orientation a mover would choose.
Verdict ladder (verdict-tiers.js): FITS if margin ≥ 2 in; FITS_TIGHT if 0.5–2 in; FITS_VERY_TIGHT if 0–0.5 in; DOESN'T_FIT below.

Tolerance ±¼ in (6 mm) is applied implicitly (band promotion to FITS_VERY_TIGHT) — see the note below the orientation matrix.

Similar calculations

29 in recliner in a 29 in spaceDOESN'T FIT

31 in tub in a 30 in spaceDOESN'T FIT

29 in dryer in a 32 in spaceFITS

30 in chair in a 28 in spaceDOESN'T FIT

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