1. What is the Rectangle Diagonal Formula?

The diagonal of a rectangle can be calculated using the Pythagorean theorem. It represents the straight-line distance between two opposite corners of the rectangle.

2. How Does the Calculator Work?

The calculator uses the diagonal formula:

Where:

• \( d \) — Diagonal of the rectangle
• \( l \) — Length of the rectangle
• \( w \) — Width of the rectangle

Explanation: The formula is derived from the Pythagorean theorem, where the diagonal forms the hypotenuse of a right triangle with the length and width as the other two sides.

3. Importance of Diagonal Calculation

Details: Calculating the diagonal is important in construction, design, and various engineering applications where precise measurements between opposite corners are needed.

4. Using the Calculator

Tips: Enter the length and width in the same units (e.g., inches, centimeters, meters). Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this work for squares?
A: Yes, for squares (where length = width), the formula simplifies to \( d = l\sqrt{2} \).

Q2: What units should I use?
A: Any consistent length units can be used (cm, m, inches, etc.). The result will be in the same units as your input.

Q3: Can this calculate length or width if diagonal is known?
A: No, this calculator only finds the diagonal. You would need one more dimension to find the missing length or width.

Q4: How accurate is this calculation?
A: The calculation is mathematically exact for perfect rectangles. Practical accuracy depends on your measurement precision.

Q5: Does this work for 3D boxes?
A: No, this is for 2D rectangles. The space diagonal of a box would use \( d = \sqrt{l^2 + w^2 + h^2} \).