PPI Calculator

PPI Calculator | Pixels Per Inch & Screen Resolution Tool

PPI Calculator: Pixels Per Inch

Calculate pixel density (PPI), dot pitch, megapixels, aspect ratio, and diagonal resolution for any screen. Compare two displays side by side.

📺 Screen PPI Calculator
diagonalpx = √(width² + height²)  |  PPI = diagonalpx / diagonalin  |  Dot Pitch = (diagonalin / diagonalpx) × 25.4
🖥️ Compare Two Screens

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Common Screen PPI Reference Chart

Device / ResolutionScreen SizePPIAspect RatioSharpness
iPhone 16 Pro (2868×1320)6.3 in46019.5:9Retina
Samsung Galaxy S24 (2340×1080)6.2 in41619.5:9Retina
iPad Pro 13″ (2752×2064)13 in2644:3Retina
MacBook Pro 14″ (3024×1964)14.2 in25416:10Retina
4K Monitor (3840×2160)27 in16316:9Sharp
1440p Monitor (2560×1440)27 in10916:9Good
1080p Monitor (1920×1080)27 in8216:9Standard
Full HD TV (1920×1080)55 in4016:9TV Dist.

How to Calculate Pixels Per Inch (PPI)

PPI calculation tells you the pixel density of any display, measuring how many pixels are packed into one linear inch of screen. A higher PPI always means a sharper, more detailed image.

Step One: Find the Diagonal Pixel Count

Use the Pythagorean theorem to calculate the diagonal length of the screen in pixels. This is needed because screen diagonals are measured in inches, not horizontal or vertical pixels alone.

diagonalpx = √(widthpx² + heightpx²)

Step Two: Divide by the Physical Diagonal

Divide the diagonal pixel count by the physical diagonal screen size in inches. The result is the PPI value.

PPI = diagonalpx / diagonalinches
Worked Example: 1920×1080 at 24 inches

Step 1: diagonalpx = √(1920² + 1080²) = √(3,686,400 + 1,166,400) = √4,852,800 ≈ 2202.91 px

Step 2: PPI = 2202.91 / 24 ≈ 91.79 PPI

Step 3: PPI² = 91.79² ≈ 8,425 pixels per square inch

Quick tip: The same PPI value applies to any horizontal, vertical, or diagonal inch on the screen because display pixels are perfectly square.

What Is PPI and Why Does It Matter?

PPI (pixels per inch) is the standard measure of screen sharpness used by display engineers, graphic designers, and everyday consumers choosing between devices. Understanding PPI helps you pick the right monitor, phone, or TV for your needs.

The Retina Display Threshold

Apple coined the term “Retina display” to describe screens where individual pixels are not distinguishable by the human eye at typical viewing distances. For smartphones held about 10 to 12 inches away, the threshold is roughly 300 PPI. For monitors viewed at arm’s length, around 200 PPI is generally sufficient.

PPI and Viewing Distance

What matters is not the raw PPI number alone but PPI relative to viewing distance. A large TV with 40 PPI looks sharp when you sit 8 feet away, but a laptop with 100 PPI would appear blurry at that same distance because you expect to view it much closer. Always consider how far you sit from a screen when evaluating its PPI.

PPI vs. Resolution

Resolution describes the total number of pixels (e.g., 1920×1080). PPI tells you how densely those pixels are packed. Two screens can share the same resolution but have very different PPI values depending on their physical sizes. A 27-inch 1080p monitor has 82 PPI while a 13-inch 1080p laptop has 169 PPI, even though both display the same pixel count.

Dot Pitch: What It Is and How to Calculate It

Dot pitch is the physical distance in millimeters between the centers of two adjacent pixels. Dot pitch calculation is essentially the inverse of PPI: smaller dot pitch means higher pixel density and a sharper image.

Dot Pitch (mm) = (diagonalinches / diagonalpx) × 25.4
Worked Example: Dot Pitch

A 27-inch 4K monitor (3840×2160) has a diagonal of √(3840² + 2160²) ≈ 4405.8 pixels.

Dot Pitch = (27 / 4405.8) × 25.4 ≈ 0.1557 mm

Professional monitors for medical imaging and precision design work often specify dot pitch directly. Consumer monitors typically advertise PPI instead.

How to Find the Aspect Ratio of a Screen

Aspect ratio calculation reduces the width-to-height pixel relationship to its simplest form. It tells you the proportional shape of a screen independent of its size or resolution.

Using the Greatest Common Factor

Find the GCF of the width and height in pixels. Divide both numbers by the GCF to get the simplified ratio. For 1920×1080, the GCF is 120. Dividing gives 16:9, the standard widescreen ratio used by most modern monitors and televisions.

Common Aspect Ratios and Their Uses

The 16:9 ratio is standard for video, gaming, and most consumer monitors. The 16:10 ratio is common on laptops and offers slightly more vertical space for productivity. The 4:3 ratio was the standard for older televisions and monitors and is still used on many tablets. Ultrawide monitors use 21:9 for immersive cinema and multi-window workflows.

Frequently Asked Questions

PPI stands for pixels per inch and measures how many pixels fit in a one-inch line on a display. A higher PPI means more pixels are packed into the same physical space, producing a sharper and more detailed image visible at close range.
To calculate PPI, first find the diagonal pixel count using the Pythagorean theorem: diagonal = √(width² + height²). Then divide the diagonal pixel count by the physical screen diagonal in inches: PPI = diagonal pixels / diagonal inches.
A good PPI for a smartphone is generally 300 PPI or higher. At 300 PPI or above, individual pixels are not visible to the naked eye at normal viewing distances. Many modern flagship phones exceed 400 PPI for extremely sharp text and imagery.
PPI (pixels per inch) refers to the pixel density of a digital screen. DPI (dots per inch) refers to the ink dot density of a physical print or the sensitivity setting of a mouse or scanner. They are often used interchangeably in casual conversation but technically describe different media.
Dot pitch is the diagonal distance in millimeters between the centers of two adjacent pixels. A smaller dot pitch means pixels are closer together, resulting in a sharper image. The formula is: Dot Pitch = (diagonal inches / diagonal pixels) × 25.4 mm.
A good PPI for a desktop monitor is typically 90 to 110 PPI for standard displays viewed at arm’s length. A 4K monitor at 27 inches reaches around 163 PPI. For design, photo editing, and detailed work, monitors above 120 PPI offer noticeably sharper detail.
To find the aspect ratio, divide the width and height pixel values by their greatest common factor (GCF). For a 1920×1080 screen, the GCF is 120. Dividing both by 120 gives 16:9, which is the aspect ratio in its simplest form.
Pixels per square inch (PPI²) is the number of pixels in a one-inch by one-inch area of a screen. It equals PPI multiplied by PPI. A screen with 300 PPI contains exactly 90,000 pixels in every square inch of its display surface.