“It's far the length of the diagonal of a display screen and is expressed in gadgets of inches” the size of a display impacts the visual enjoy. It gives you an idea of how huge or small the content will appearance on a sure screen. whilst buying an electronic tool like a television, cellphone, or projector, you need to have a valid information of display dimensions. understanding this cost will help you purchase a device that suits best consistent with your viewing angles and distances.
in case your goal is to do calculations with the aid of hand, you want to apprehend the following scenario:
whenever you calculate the display screen size, remember the fact that it depends upon a couple of things inclusive of:
Calculating display screen length manually requires the subsequent steps to understand:
Decide factor Ratio:
The issue ratio is the ratio of the width and peak of the display screen and can be calculated with the assist of the subsequent equation: issue Ratio = Width/peak
screen Diagonal Calculations:
To calculate the diagonal of the screen, simply take a measuring tape and measure the distance from one upper corner of the screen to the opposite lower corner. The mathematical formulas to calculate the screen diagonal are as under: \(Diagonal^{2}=Height^{2}+Width^{2}\) \(\text{Aspect Ratio}=\dfrac{Width}{height}\) \(\ Screen\ Area =\ Width\times Height\) See the following example to calculate the unknown measurements and size of the screen:
Let's suppose you need to calculate the size of a screen with a 16:9 aspect ratio. We will determine the unknown screen measurements and screen size in different cases.
Solution: For monitor dimensions:
Aspect Ratio = \(\dfrac{Width}{Height}\)
\(AR = \dfrac{16}{9}\)
Step 1: Calculate the height using the aspect ratio:
Height = \(AR \times Width\)
\(Height = \dfrac{16}{9} \times Width\)
Step 2: Use the diagonal formula:
\(Diagonal^{2} = Height^{2} + Width^{2}\)
\(Diagonal^{2} = \left(\dfrac{9}{16} \times Width\right)^{2} + Width^{2}\)
\(Diagonal^{2} = \dfrac{81}{256} \times Width^{2} + Width^{2}\)
\(Diagonal^{2} = \left(\dfrac{81}{256} + 1\right) \times Width^{2}\)
\(Diagonal^{2} = \dfrac{337}{256} \times Width^{2}\)
Step 3: Find the width:
Width = \(\sqrt{\dfrac{256}{337}} \times 3\)
Width = 2.615 inches
Step 4: Calculate the height:
Height = \(\dfrac{16}{9} \times 2.615\)
Height = 1.47 inches
Step 5: Calculate the screen area:
Screen Area = Width \(\times\) Height
Screen Area = 2.615 \(\times\) 1.47 = 3.89 inches2
Solution:
Use the aspect ratio formula:
Width = \(AR \times Height\)
Width = \(\dfrac{16}{9} \times 3\) = 5.3 inches
Step 1: Use the diagonal formula:
\(Diagonal^{2} = Height^{2} + Width^{2}\)
\(Diagonal^{2} = 3^{2} + 5.3^{2}\)
\(Diagonal = \sqrt{3^{2} + 5.3^{2}}\)
Diagonal = 6.09 inches
Step 2: Calculate the screen area:
Screen Area = Width \(\times\) Height
Screen Area = 5.3 \(\times\) 3 = 16 inches2
Solution:
Use the aspect ratio formula to find the height:
Height = \(\dfrac{Width}{AR}\)
Height = \(\dfrac{3}{\dfrac{16}{9}}\) = 1.7 inches
Step 1: Use the diagonal formula:
\(Diagonal^{2} = Height^{2} + Width^{2}\)
\(Diagonal^{2} = 3^{2} + 1.7^{2}\)
Diagonal = 3.45 inches
Step 2: Calculate the screen area:
Screen Area = Width \(\times\) Height
Screen Area = 1.7 \(\times\) 3 = 5.1 inches2
You have to keep in mind the subsequent factors while deciding on a display size:
If the diagonal of the display is 120 inches with an thing ratio of 16:9 then the display dimensions could be fifty nine” H x 105” W.
Wikihow.com: degree Monitor Size.
