Circumradius of Square given Diagonal Calculator

Calculate Circumradius



Formula

The formula to calculate the Circumradius of a Square given its diagonal is:

\[ \text{Circumradius} = \frac{\text{Diagonal}}{2} \]

Definition

The Circumradius of a Square is the radius of the circumcircle of the square, or the circle which contains the square with all the vertices of the square lying on the circle. The Diagonal of a Square is the length of the line joining any pair of opposite vertices of the square.

Example Calculation

Let's assume the following value:

Using the formula:

\[ \text{Circumradius} = \frac{14}{2} = 7 \, \text{meters} \]

The Circumradius of the Square is 7 meters.

Conversion Chart

Diagonal (meters) Circumradius (meters)
12 6.000000000000000
13 6.500000000000000
14 7.000000000000000
15 7.500000000000000
16 8.000000000000000