The Apple iPhone X has a 5.85-inch display, the iPhone 8 Plus has a 5.5-inch screen.

So... the iPhone X has a bigger screen, right?

Wrong!

What these display measurements do not take into account is the aspect ratio of the screen, and the iPhone X has a taller and narrower display with a 2.17:1 aspect ratio and a big cutout at the top, while the iPhone 8 Plus has a 16:9 screen. This is a crucial distinction because when you actually get to calculate the screen area, you will see some surprising numbers.

## How can a 5.8" screen be smaller than a 5.5" one?

Let's go ahead and do just that. Here is a look at the two displays in numbers:

- 1125 x 2436 pixels = 375 x 812 points (3x)
- 1242 x 2208 pixels = 414 x 736 points (3x)

iPhone X display overlaid on top of an iPhone 8 Plus |

Apple uses points as the absolute reference number, so we will also use the points number as a reference, since the difference in resolution is a topic of another discussion. Today, we only look at the sheer size of the screens.

## It's all about the aspect ratio...

First, we simplify things and take the point numbers to calculate the screen area without taking into account the big cutout and the curved edges of the iPhone X (we also add the iPhone 8 for more context)...- iPhone X approximated screen area: 375 * 812 = 304,500 points
- iPhone 8 Plus real screen area: 414 * 736 = 304,704 points
- iPhone 8 real screen area: 375 * 667 = 250,125 points

So... even without taking into account those numbers, it's clear that the iPhone 8 Plus has a bigger area than the iPhone X. But how much bigger exactly?

To understand that, we need to do some further calculations. We now know the size of the iPhone X cutout in exact point dimensions as well as the radii of the curves. Let's roll up our sleeves and do some simple maths.

## Maths time!

##### You can just skip to the conclusion if you don't care about the calculations.

1. Calculating the cutout size

First, the cutout area. If it was a rectangle with no rounded corners, we would have had an area of 209 points by 30 points, or 6,270 points. But we have a rounded rectangle at the two bottom edges. Let's account for that:

We first calculate the area of a 40 by 40 square, and then take out the area of the 40-pt radius circle inside. We get the area of the four leftovers in between the square and the circle, and we have two of them. Here are the calculations:

Square area: 40 * 40 = 1,600 points

Circle area: π * 202 = 1256.6, ~1257 points

Leftovers = Square area minus Circle area, or 1600 - 1257 = 343 points. A quarter of the leftovers is 85.75, ~86 points, and we have two of them for a total of 172 points.

We now have to add the tiny edges at the top.

Again, we add two squares, this time with 12-point sides, so we have 2 * (12 * 12) = 2 * 144 points. Then, the area of each 6pt circle: π × 62 = 113 points. We only need to add that quarter of the rectangle shaped by the circle, so we take out the circle area from the rectangle area and divide by four: (144 - 113) / 4 = 31 / 4 = 7.75 points, which we round up to 8 points. We have two such quarters, so it's 2 * 8 points, or 16 points.

So! The total area of the cutout is thus: the area of the rectangle minus the edge at the bottom plus the tiny edge at the top, or 6270 points - 172 points + 16 points = 6,114 points.

2. Calculating the rounded edges

We use the same trick to calculate the rounded edges: a square with an 88-point side, with a 44pt radius circle inside it. The leftovers are the four edges. Let's calculate:

Square area: 88 * 88 = 7,744 points

Circle area: π * 442 = 6,082 points

Leftovers = Square area minus Circle area, or 7744 - 6082 = 1,662 points, we have four quarters at each side, so the we take the full 1,662 point number.

3. Calculating the total iPhone X screen area in points

First, we deduct rounded edges from screen rectangle size:

304500 points - 1662 points = 302,838 points

Secondly, we deduct the cutout at the top from the number we have just gotten:

302838 points - 6114 points = 296,724 points

And voila! We finally have the one number we need: the total screen area of the iPhone X is exactly 296,724 points. High five!

## The grand total

Let's look at the grand total of all those calculations: the screen area of the iPhone X is exactly 296,724 points. The screen area of the iPhone 8 Plus is 304,704 points.

- iPhone X real screen area: 296,724 points
- iPhone 8 Plus real screen area: 304,704 points
- iPhone 8 real screen area: 250,125 points

This means that the iPhone X has 97.38% the area of the iPhone 8 Plus, or simply put, its screen is 2.6% smaller.

And when compared to the iPhone 8 and its 4.7-inch display, the iPhone X actually has an 18.6% bigger display.

## The iPhone X screen is 2.6% smaller than the one on the iPhone 8 Plus

And that's how the 5.8-inch iPhone X display is smaller than the 5.5-inch iPhone 8 Plus screen.

reference: PaintCode

posted on15 Sep 2017, 05:018posted on15 Sep 2017, 05:294posted on15 Sep 2017, 07:234posted on15 Sep 2017, 10:290posted on15 Sep 2017, 16:450posted on07 Nov 2017, 14:240posted on15 Sep 2017, 05:3314posted on15 Sep 2017, 06:052posted on15 Sep 2017, 07:175posted on15 Sep 2017, 05:077posted on15 Sep 2017, 05:290posted on15 Sep 2017, 05:102posted on15 Sep 2017, 05:1112posted on15 Sep 2017, 05:218posted on15 Sep 2017, 05:313posted on15 Sep 2017, 07:225posted on15 Sep 2017, 08:182posted on15 Sep 2017, 05:380posted on15 Sep 2017, 05:500posted on15 Sep 2017, 07:211posted on15 Sep 2017, 06:550posted on15 Sep 2017, 07:020posted on15 Sep 2017, 07:211posted on15 Sep 2017, 08:291posted on15 Sep 2017, 11:320posted on19 Mar 2018, 10:420posted on15 Sep 2017, 12:201posted on15 Sep 2017, 14:280posted on15 Sep 2017, 14:550posted on16 Sep 2017, 02:280