1. What is the Diameter of Circumcircle of Rectangle?

The diameter of the circumcircle of a rectangle is the diameter of the circle which contains the rectangle with all the vertices of the rectangle lying on the circle. This circle is also known as the circumscribed circle of the rectangle.

2. How Does the Calculator Work?

The calculator uses the simple formula:

Where:

• \( D_c \) — Diameter of Circumcircle of Rectangle (m)
• \( r_c \) — Circumradius of Rectangle (m)

Explanation: The diameter of a circle is always twice its radius. Since the circumcircle of a rectangle is a circle that passes through all four vertices, this relationship holds true.

3. Formula Explanation

Details: For any circle, the diameter is exactly twice the length of the radius. This fundamental geometric relationship applies to the circumcircle of a rectangle as well.

4. Using the Calculator

Tips: Enter the circumradius of the rectangle in meters. The value must be positive and greater than zero. The calculator will compute the diameter of the circumcircle.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between rectangle dimensions and circumradius?
A: The circumradius of a rectangle is half the length of its diagonal: \( r_c = \frac{\sqrt{length^2 + width^2}}{2} \)

Q2: Is the circumcircle unique for every rectangle?
A: Yes, every rectangle has a unique circumcircle that passes through all four vertices.

Q3: 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.

Q4: What are the units of measurement?
A: The calculator uses meters, but the formula works with any consistent unit of length.

Q5: How is this different from the incircle of a rectangle?
A: A rectangle only has an incircle (circle tangent to all four sides) if it's a square. The circumcircle always exists for any rectangle.