🌐 Network & Internet Calculators › Displays & Hardware

Screen Size, Resolution & PPI Calculator

Calculate screen width and height from diagonal size and aspect ratio, find pixel density (PPI), and compare actual viewing area across monitors and TVs.

Screen Size Calculator — interactive calculator, computed instantly in your browser.

📚 Authoritative Educational Guide

Screen Dimensions Explained: Diagonal, Aspect Ratio, and PPI

Marketing labels every panel by its diagonal, but that number alone won't tell you whether a monitor fits your desk or a TV fits your wall. Real dimensions come from splitting the diagonal with the aspect ratio, and perceived sharpness comes from dividing pixel counts by that diagonal — the pixel density, or PPI.

1. Diagonal to Width and Height

width = D × W ÷ √(W² + H²) · height = D × H ÷ √(W² + H²)
  • For 16:9, √(16² + 9²) = 18.358 — a 27″ panel is 23.5″ wide × 13.2″ tall
  • A 32″ 16:9 TV is ~28.1″ × 15.8″ — nearly 200 sq in of glass versus 161 sq in for 27″
  • Ultrawide 21:9 at the same diagonal is much shorter: a 34″ ultrawide is only ~13″ tall but 31.4″ wide
  • Height is why a 32″ TV feels bigger than a 27″ monitor even though both are "16:9"

2. Pixel Density (PPI) and Sharpness

PPI = √(resolution width² + resolution height²) ÷ diagonal

A 27″ QHD panel works out to ≈109 PPI, the same 109 PPI you get from a 24″ 1080p screen — identical sharpness at different sizes. 4K on 27″ jumps to ≈163 PPI, where the OS needs scaling to keep text readable. Pixel pitch follows directly: 25.4 mm ÷ PPI, so 109 PPI = 0.233 mm between pixel centers. Sitting closer than about one metre makes individual pixels visible on a 109 PPI screen.

3. Choosing by Use Case

  1. Office / coding: 24–27″ at 109–163 PPI; 1440p on 27″ sweet-spots sharpness without heavy scaling
  2. Photo & video work: ≥160 PPI with an ultrawide 21:9 or 16:10 ratio for timeline and toolbar space
  3. TV viewing: multiply seating distance by 0.55 for 1080p, 0.40 for 4K — a 55″ 4K TV is comfortable at ~2.0 m (6.5 ft)
  4. Gaming: resolution ÷ refresh — check your GPU can drive the pixel budget before prioritizing size

🔗 Display & Bandwidth Cross-References

Bigger diagonal does not always mean more visible area — a 27" 16:9 monitor and a 34" ultrawide show different widths at similar heights. Explore our 🌐 Tech & Network Hub for more hardware utilities.

Once the panel is picked, budget its bandwidth with the data usage tools below.

Frequently Asked Questions (Screen Size Calculator)

How do I calculate screen width and height from the diagonal?

Split the diagonal using the aspect ratio: width = diagonal × W ÷ √(W² + H²), height = diagonal × H ÷ √(W² + H²). For 16:9 divide by 18.358 — a 27″ screen gives 23.5″ × 13.2″.

What is PPI and what is a good value?

PPI (pixels per inch) is diagonal pixels divided by diagonal inches. ~109 PPI (24″ 1080p) is standard, ~140–163 PPI (27″ 1440p/4K) looks crisp, and Apple-class Retina displays sit above 220 PPI where individual pixels stop resolving at normal viewing distance.

Is a bigger screen always better?

No — what matters is pixels per degree of vision. A 32″ 1080p screen (69 PPI) looks blurrier than a 24″ 1080p (92 PPI), and oversized panels need more desk depth. Match resolution to size so PPI stays above ~95 for monitor use.

Why does my resolution not match my monitor's aspect ratio?

The GPU is sending a signal with a different ratio than the panel's native one — this causes stretching or black bars. Set the output to the panel's native resolution (e.g. 2560×1440 on a 16:9 QHD monitor) for a pixel-perfect match.

How far should I sit from a 4K TV?

A common rule: seating distance ≈ 0.4 × diagonal for 4K (55″ ≈ 1.9–2.0 m / 6.5 ft) and 0.55 × diagonal for 1080p. Beyond ~1.5 m you can no longer distinguish 4K from 1080p at typical TV sizes.