1. What is the Diagonal of Square given Diameter of Circumcircle Formula?

The formula calculates the diagonal of a square when the diameter of its circumcircle is known. The diagonal of a square is equal to the diameter of its circumcircle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( d \) — Diagonal of Square (m)
• \( D_c \) — Diameter of Circumcircle of Square (m)

Explanation: In a square, the diagonal is equal to the diameter of the circumcircle that passes through all four vertices of the square.

3. Importance of Diagonal Calculation

Details: Calculating the diagonal of a square is important in geometry, construction, and various engineering applications where precise measurements of square shapes are required.

4. Using the Calculator

Tips: Enter the diameter of the circumcircle in meters. The value must be valid (diameter > 0).

5. Frequently Asked Questions (FAQ)

Q1: Why is the diagonal equal to the circumcircle diameter?
A: In a square, all four vertices lie on the circumcircle, and the diagonal passes through the center, making it equal to the diameter.

Q2: What is the relationship between side length and diagonal?
A: The diagonal of a square is \( \sqrt{2} \) times the side length (\( d = s\sqrt{2} \)).

Q3: Can this formula be used for rectangles?
A: No, this specific formula only applies to squares where all sides are equal.

Q4: What are practical applications of this calculation?
A: This calculation is used in construction, carpentry, graphic design, and any field requiring precise square measurements.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact for perfect squares and provides precise results when accurate input values are provided.