Circumradius of Square given Diameter of Circumcircle Calculator

Calculate Circumradius



Formula

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

\[ r_c = \frac{D_c}{2} \]

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 diameter of the circumcircle is the diameter of the circle which contains the square with all its vertices lying on the circle.

Example Calculation

Let's assume the following value:

Using the formula:

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

The Circumradius of the Square is 7 meters.

Conversion Chart

Diameter of Circumcircle (meters) Circumradius (meters)
13 6.500000000000000
13.1 6.550000000000000
13.2 6.600000000000000
13.3 6.649999999999999
13.4 6.699999999999999
13.5 6.749999999999999
13.6 6.799999999999999
13.7 6.849999999999999
13.8 6.899999999999999
13.9 6.949999999999998
14 6.999999999999998
14.1 7.049999999999998
14.2 7.099999999999998
14.3 7.149999999999998
14.4 7.199999999999998
14.5 7.249999999999997
14.6 7.299999999999997
14.7 7.349999999999997
14.8 7.399999999999997
14.9 7.449999999999997
15 7.499999999999996