1. What is Square Diagonal?

The diagonal of a square is the line segment connecting two non-adjacent vertices. In a square, both diagonals are equal in length and bisect each other at 90 degrees.

2. How Does the Calculator Work?

The calculator uses the square diagonal formula:

Where:

• \( d \) — Diagonal length
• \( s \) — Side length
• \( \sqrt{2} \) — Approximately 1.4142

Explanation: This formula comes from the Pythagorean theorem applied to the right triangle formed by two adjacent sides and the diagonal.

3. Importance of Diagonal Calculation

Details: Knowing the diagonal is important in construction, engineering, and design when working with square shapes, determining maximum dimensions, or calculating material requirements.

4. Using the Calculator

Tips: Enter the side length of the square in any consistent units (meters, inches, feet, etc.). The calculator will return the diagonal in the same units.

5. Frequently Asked Questions (FAQ)

Q1: Does this formula work for rectangles?
A: No, for rectangles you need to use the formula \( d = \sqrt{l^2 + w^2} \) where l is length and w is width.

Q2: How accurate is this calculation?
A: The calculation is mathematically exact, though practical measurements may have precision limitations.

Q3: Can I use this for 3D cubes?
A: No, this is for 2D squares. For cubes, you would calculate the space diagonal differently.

Q4: What if my square is rotated?
A: The diagonal length remains the same regardless of rotation as long as the side length stays constant.

Q5: How is this different from a circle's diameter?
A: A square's diagonal connects opposite corners, while a circle's diameter passes through the center and is equal to twice the radius.