هندسة الشاشاتW² + H² = D²
حاسبة قطر وأبعاد شاشة التلفاز
Convert any manufacturer diagonal measurement into true panel width, height, and viewable square area before buying mounts or media cabinets. Solving general triangles or missing legs? Try our root Pythagoras equation solver.
16:9, 21:9, 32:9, 16:10 & 4:3Exact Radical Normalization (√337)Inches & Centimeters Toggle
Result updated: 65 in screen width is 56.65 in, height is 31.87 in, area is 1,805.3 square in.
حاسبة قطر وأبعاد شاشة التلفاز
w = (rw · d) / √(rw² + rh²) · h = (rh · d) / √(rw² + rh²)
Select a common screen size preset or enter custom diagonal and aspect ratio numbers.
Aspect Ratio
عرض الشاشة
56.65 in
ارتفاع الشاشة
31.87 in
مساحة الشاشة
1,805.3 in²
مرجع مقاسات التلفاز الشائعة (العرض × الارتفاع)
1. Compute Aspect Ratio Diagonal Norm
norm = √(16² + 9²) = √337 ≈ 18.3576
2. Solve Width from Pythagorean Scale Factor
w = (16 × 65) / 18.3576 ≈ 56.65 in
3. Solve Height & Verify Area
h ≈ 31.87 in, Area ≈ 1,805.34 in²
| TV Diagonal (16:9) | Width (in) | Height (in) | Area (in²) |
|---|---|---|---|
| 43 in | 37.5 in | 21.1 in | 790 in² |
| 50 in | 43.6 in | 24.5 in | 1,068 in² |
| 55 in | 47.9 in | 27 in | 1,293 in² |
| 65 in | 56.7 in | 31.9 in | 1,805 in² |
| 75 in | 65.4 in | 36.8 in | 2,404 in² |
| 85 in | 74.1 in | 41.7 in | 3,087 in² |
مرجع مقاسات التلفاز الشائعة (العرض × الارتفاع)
| Class Diagonal | 16:9 عرض الشاشة | 16:9 ارتفاع الشاشة | 16:9 مساحة الشاشة | 21:9 Ultrawide (W × H) |
|---|---|---|---|---|
| 43" | 37.5" | 21.1" | 790 in² | 39.5" × 16.9" |
| 50" | 43.6" | 24.5" | 1,068 in² | 46" × 19.7" |
| 55" | 47.9" | 27" | 1,293 in² | 50.6" × 21.7" |
| 65" | 56.7" | 31.9" | 1,805 in² | 59.7" × 25.6" |
| 75" | 65.4" | 36.8" | 2,404 in² | 68.9" × 29.5" |
| 85" | 74.1" | 41.7" | 3,087 in² | 78.1" × 33.5" |
How Screen Diagonals Map to Width & Height
TVs and monitors are always sold by corner-to-corner diagonal screen glass size D. Knowing the aspect ratio W : H (such as 16 : 9), the ratio diagonal norm equals √(16² + 9²) = √337 ≈ 18.3576.
Width = D × (W / √(W² + H²)) | Height = D × (H / √(W² + H²)) | Area = Width × Height