Last updated on August 5th, 2025
Calculators are reliable tools for solving simple mathematical problems and advanced calculations like trigonometry. Whether you’re cooking, tracking BMI, or planning a construction project, calculators will make your life easy. In this topic, we are going to talk about the diagonal of a square calculator.
A diagonal of a square calculator is a tool used to find the length of the diagonal of a square when given the side length.
Since a square's diagonal can be calculated using Pythagoras' theorem, this calculator simplifies the process, making it quick and easy.
Given below is a step-by-step process on how to use the calculator:
Step 1: Enter the side length: Input the side length of the square into the given field.
Step 2: Click on calculate: Click on the calculate button to find the diagonal and get the result.
Step 3: View the result: The calculator will display the result instantly.
To calculate the diagonal of a square, there is a simple formula based on Pythagoras' theorem.
The diagonal creates two right-angled triangles within the square.
Diagonal = Side × √2
Therefore, the formula is: Diagonal = Side × 1.414
We multiply the side length by the square root of 2, approximately 1.414, to find the diagonal of the square.
When using a diagonal of a square calculator, there are a few tips and tricks to make it easier and avoid mistakes:
Visualize the square and its diagonal to better understand the calculation.
Remember that the diagonal is always longer than the side.
Use a calculator with enough decimal precision for more accurate results.
Compare the diagonal to the side to ensure the result makes sense.
While using a calculator, mistakes can happen.
Here are common errors and how to avoid them:
What is the diagonal of a square with a side length of 5 units?
Use the formula: Diagonal = Side × √2 Diagonal = 5 × 1.414 ≈ 7.07 units
By multiplying the side length of 5 by approximately 1.414, we find the diagonal to be about 7.07 units.
Find the diagonal of a square with a side length of 12 cm.
Use the formula: Diagonal = Side × √2 Diagonal = 12 × 1.414 ≈ 16.97 cm
Multiplying 12 cm by 1.414 gives us a diagonal of approximately 16.97 cm.
A square has a side length of 7.5 meters. Calculate its diagonal.
Use the formula: Diagonal = Side × √2 Diagonal = 7.5 × 1.414 ≈ 10.61 meters
The diagonal of a square with a 7.5-meter side length is about 10.61 meters.
How long is the diagonal of a square with a side of 3 inches?
Use the formula: Diagonal = Side × √2 Diagonal = 3 × 1.414 ≈ 4.24 inches
The diagonal for a square with a side length of 3 inches is approximately 4.24 inches.
You have a square-based garden with sides of 9 feet. What is the diagonal length?
Use the formula: Diagonal = Side × √2 Diagonal = 9 × 1.414 ≈ 12.726 feet
For a garden with 9-foot sides, the diagonal is roughly 12.726 feet.
Seyed Ali Fathima S a math expert with nearly 5 years of experience as a math teacher. From an engineer to a math teacher, shows her passion for math and teaching. She is a calculator queen, who loves tables and she turns tables to puzzles and songs.
: She has songs for each table which helps her to remember the tables