Circumradius of Rectangle Calculator

Formula

The formula to calculate the Circumradius of Rectangle (rc) is:

\[ rc = \frac{\sqrt{l^2 + b^2}}{2} \]

Where:

\(rc\) is the Circumradius of Rectangle (measured in meters).
\(l\) is the Length of Rectangle (measured in meters).
\(b\) is the Breadth of Rectangle (measured in meters).

Definition

Circumradius of Rectangle is the radius of the circle which contains the Rectangle with all the vertices of Rectangle lying on the circle.

Length of Rectangle is any one of the pair of parallel sides which are longer than the remaining pair of parallel sides.

Breadth of Rectangle is any one of the pair of parallel sides which are shorter than the remaining pair of parallel sides.

How to calculate Circumradius of Rectangle

Let's assume the following values:

Length of Rectangle (l) = 8 meters
Breadth of Rectangle (b) = 6 meters

Using the formula:

\[ rc = \frac{\sqrt{8^2 + 6^2}}{2} \]

Evaluating:

\[ rc \approx 5 \, \text{meters} \]

The Circumradius of Rectangle is approximately 5 meters.

Conversion Chart

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Length (l) (meters)	Breadth (b) (meters)	Circumradius (rc) (meters)