1. What is the Short Diagonal of Octagon?

The Short Diagonal of Octagon is the length of smallest diagonals or the line joining a vertex and any one of the vertices that coming next to the adjacent vertices of the first vertex of the Octagon.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( d_{Short} \) — Short Diagonal of Octagon (m)
• \( d_{Medium} \) — Medium Diagonal of Octagon (m)

Functions Used:

• sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

3. Importance of Short Diagonal Calculation

Details: Calculating the short diagonal of an octagon is important in geometry and architectural design, particularly when working with regular octagonal shapes and structures.

4. Using the Calculator

Tips: Enter the medium diagonal of the octagon in meters. The value must be positive and greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between short and medium diagonals in a regular octagon?
A: The short diagonal is equal to the medium diagonal multiplied by the constant factor √(2-√2).

Q2: Can this formula be used for irregular octagons?
A: No, this formula applies only to regular octagons where all sides and angles are equal.

Q3: What are typical applications of this calculation?
A: This calculation is useful in architectural design, engineering, and geometric problem solving involving regular octagonal shapes.

Q4: How accurate is this formula?
A: The formula is mathematically exact for regular octagons and provides precise results.

Q5: Can I calculate medium diagonal from short diagonal using this formula?
A: Yes, you can rearrange the formula: d_Medium = d_Short / √(2-√2).