Inradius of Square given Area Calculator

Calculate Inradius



Formula

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

\[ r_i = \frac{\sqrt{A}}{2} \]

Definition

The Inradius of a Square is the radius of the incircle of the square, or the circle which is contained by the square with all the edges of the square touching the circle. The area of the 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:

\[ r_i = \frac{\sqrt{100}}{2} \approx 5 \, \text{meters} \]

The Inradius of the Square is approximately 5 meters.

Conversion Chart

Area (square meters) Inradius (meters)
90 4.743416490252569
92 4.795831523312719
94 4.847679857416329
96 4.898979485566356
98 4.949747468305833
100 5.000000000000000
102 5.049752469181039
104 5.099019513592784
106 5.147815070493500
108 5.196152422706632
110 5.244044240850758