1. What is the Circumradius of Rectangle?

The circumradius of a rectangle is the radius of the circle that passes through all four vertices of the rectangle. For any rectangle, the circumradius is equal to half the length of the diagonal.

2. How Does the Calculator Work?

The calculator uses the circumradius formula:

Where:

• \( r_c \) — Circumradius of Rectangle (m)
• \( b \) — Breadth of Rectangle (m)
• \( A \) — Area of Rectangle (m²)

Explanation: The formula calculates the circumradius by first finding the length of the rectangle (A/b), then calculating the diagonal using the Pythagorean theorem, and finally taking half of that diagonal.

3. Importance of Circumradius Calculation

Details: Calculating the circumradius is important in geometry and various engineering applications where circular patterns or circumscribed circles around rectangular objects are involved.

4. Using the Calculator

Tips: Enter the breadth and area of the rectangle. Both values must be positive numbers. The calculator will compute the circumradius based on the provided dimensions.

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between circumradius and diagonal?
A: The circumradius of a rectangle is exactly half the length of its diagonal.

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

Q3: What are the units of measurement?
A: The circumradius will be in the same units as the input dimensions (meters if input is in meters).

Q4: Does the formula work for all rectangles?
A: Yes, this formula works for all rectangles regardless of their proportions.

Q5: How accurate is the calculation?
A: The calculation is mathematically exact when precise measurements are provided.