1. What is the Diameter of Incircle of Square?

The diameter of incircle of a square is the diameter of the largest circle that fits inside the square, touching all four sides. It is equal to the side length of the square.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( D_i \) — Diameter of incircle of square (m)
• \( d \) — Diagonal of square (m)
• \( \sqrt{2} \) — Square root of 2 (approximately 1.4142)

Explanation: This formula derives from the relationship between the diagonal and side length of a square, where the diameter of the incircle equals the side length.

3. Importance of Diameter Calculation

Details: Calculating the diameter of the incircle is important in geometry, engineering, and design applications where circular elements need to fit perfectly within square boundaries.

4. Using the Calculator

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

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between the diagonal and side length of a square?
A: The diagonal of a square is \( \sqrt{2} \) times the side length (\( d = s\sqrt{2} \)).

Q2: How is the diameter of the incircle related to the side length?
A: The diameter of the incircle equals the side length of the square (\( D_i = s \)).

Q3: Can this formula be used for rectangles?
A: No, this formula is specific to squares. Rectangles have different relationships between diagonal, side lengths, and incircle diameter.

Q4: What are practical applications of this calculation?
A: This calculation is useful in manufacturing, architecture, and design where circular components need to fit precisely within square frames or openings.

Q5: How accurate is this calculation?
A: The calculation is mathematically exact when using precise values. The accuracy of the result depends on the accuracy of the input diagonal measurement.