Perimeter of Square given Inradius Calculator

Calculate Perimeter of Square



Formula

The formula to calculate the perimeter of a square given its inradius is:

\[ P = 8 \cdot r_i \]

Where:

Definition

The perimeter of a square is the total length of all the boundary lines of the square.

The inradius of a square is the radius of the incircle of the square, which is the circle contained within the square with all edges of the square touching the circle.

Example Calculation

Let's assume the following values:

Using the formula:

\[ P = 8 \cdot 5 = 40 \text{ m} \]

The perimeter of the square is 40 meters.

Conversion Chart

Inradius (m) Perimeter (m)
1 8.00
2 16.00
3 24.00
4 32.00
5 40.00
6 48.00
7 56.00
8 64.00
9 72.00
10 80.00