Home
Back
Formula Used:
| From: | To: |
The diameter of the circumcircle of a rectangle is the diameter of the circle that passes through all four vertices of the rectangle. It represents the longest distance between any two points on the circle that contains the rectangle.
The calculator uses the formula:
Where:
Explanation: This formula is derived from the Pythagorean theorem, where the diameter equals the diagonal of the rectangle.
Details: Calculating the circumcircle diameter is important in geometry, engineering, and design applications where circular elements need to enclose rectangular objects or where rotational symmetry is required.
Tips: Enter the length and breadth of the rectangle in meters. Both values must be positive numbers greater than zero.
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 serves as the diameter because it passes through the circle's center and connects two opposite vertices.
Q2: Does this formula work for squares?
A: Yes, for a square (where length = breadth), the formula simplifies to \( D_c = l\sqrt{2} \), which is correct for a square's circumcircle diameter.
Q3: What are the units of measurement?
A: The calculator uses meters, but the formula works with any consistent unit system (cm, mm, inches, etc.) as long as both dimensions use the same units.
Q4: Can this calculator handle decimal values?
A: Yes, the calculator accepts decimal values for both length and breadth with precision up to four decimal places.
Q5: What is the relationship between the circumcircle and the rectangle?
A: The circumcircle is the smallest circle that can completely contain the rectangle, with all four vertices touching the circle's circumference.