Circumradius of Square given Area Calculator

Calculate Circumradius



Formula

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

\[ \text{Circumradius} = \sqrt{\frac{\text{Area}}{2}} \]

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 Area of a Square is the total quantity of plane enclosed by the boundary lines of the square.

Example Calculation

Let's assume the following value:

Using the formula:

\[ \text{Circumradius} = \sqrt{\frac{100}{2}} \approx 7.07106781186548 \, \text{meters} \]

The Circumradius of the Square is approximately 7.07106781186548 meters.

Conversion Chart

Area (square meters) Circumradius (meters)
80 6.324555320336759
90 6.708203932499369
100 7.071067811865476
110 7.416198487095663
120 7.745966692414834