1. What is the Breadth of Rectangle Formula?

The formula calculates the breadth of a rectangle when given its area and the diameter of its circumcircle. This relationship is derived from the geometric properties of rectangles and their circumcircles.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( b \) — Breadth of the rectangle (m)
• \( D_c \) — Diameter of the circumcircle (m)
• \( A \) — Area of the rectangle (m²)

Explanation: The formula is derived from the relationship between the rectangle's dimensions, its area, and the diameter of its circumscribing circle.

3. Importance of Rectangle Breadth Calculation

Details: Calculating the breadth of a rectangle from its area and circumcircle diameter is important in various geometric applications, construction projects, and engineering designs where these specific parameters are known.

4. Using the Calculator

Tips: Enter the area in square meters and the diameter in meters. Both values must be positive numbers. The calculator will compute the breadth of the rectangle.

5. Frequently Asked Questions (FAQ)

Q1: What is a circumcircle of a rectangle?
A: A circumcircle is a circle that passes through all four vertices of a rectangle. For any rectangle, the diameter of the circumcircle equals the diagonal of the rectangle.

Q2: Can this formula be used for squares?
A: Yes, since a square is a special type of rectangle, this formula applies to squares as well.

Q3: What units should I use for the inputs?
A: The calculator uses meters for length measurements and square meters for area. Ensure consistent units for accurate results.

Q4: Are there any limitations to this formula?
A: The formula assumes valid geometric constraints. The expression under the square roots must be non-negative for the calculation to be valid.

Q5: How is this formula derived?
A: The formula is derived from the Pythagorean theorem and the relationship between a rectangle's area, its sides, and its diagonal (which equals the circumcircle diameter).