1. What is the Diameter of Circumcircle of Rectangle?

The diameter of the circumcircle of a rectangle is the diameter of the circle that passes through all four vertices of the rectangle. For any rectangle, the circumcircle's center is at the intersection of the diagonals, and its diameter equals the length of the diagonal of the rectangle.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The formula calculates the diagonal of the rectangle using the area and breadth, which equals the diameter of its circumcircle.

3. Importance of Circumcircle Diameter Calculation

Details: Calculating the circumcircle diameter is important in geometry, engineering, and design applications where circular boundaries containing rectangular objects need to be determined.

4. Using the Calculator

Tips: Enter the area of the rectangle in square meters and the breadth in meters. Both values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the circumcircle diameter equal to the rectangle's diagonal?
A: In a rectangle, all vertices lie on the circumcircle, and the diagonal passes through the center, making it the diameter of the circle.

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: Use consistent units (e.g., meters for length, square meters for area). The result will be in the same length unit as the breadth.

Q4: What if I have the length instead of area?
A: If you have length (l) and breadth (b), you can directly calculate the diagonal using \( \sqrt{l^2 + b^2} \).

Q5: Does this work for all rectangles?
A: Yes, this formula works for all rectangles regardless of their proportions.