Perimeter of Square given Diameter of Circumcircle Calculator

Calculate Perimeter



Formula

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

\[ \text{Perimeter} = 2\sqrt{2} \cdot \text{Diameter of Circumcircle} \]

Definition

The Perimeter of a Square is the total length of all the boundary lines of the square. The Diameter of the Circumcircle of a Square is the diameter of the circumcircle of the square, or the circle which contains the square with all the vertices of the square lying on the circle.

Example Calculation

Let's assume the following value:

Using the formula:

\[ \text{Perimeter} = 2\sqrt{2} \cdot 14 \approx 39.5980 \, \text{meters} \]

The Perimeter is approximately 39.5980 meters.

Conversion Chart

Diameter of Circumcircle (meters) Perimeter (meters)
13 36.769552621700477
13.5 38.183766184073569
14 39.597979746446661
14.5 41.012193308819761
15 42.426406871192853