Inradius of Equilateral Triangle Calculator

Calculate Inradius



Formula

The formula to calculate the Inradius of an Equilateral Triangle is:

\[ r_i = \frac{l_e}{2 \sqrt{3}} \]

Definition

The Inradius of an Equilateral Triangle is the radius of the circle inscribed inside the triangle. The Edge Length of an Equilateral Triangle is the length of one of its sides, and in an Equilateral Triangle, all three sides are equal.

Example Calculation

Let's assume the following value:

Using the formula:

\[ r_i = \frac{8}{2 \sqrt{3}} \approx 2.3094010767585 \]

The Inradius is approximately 2.3094010767585 Meters.

Conversion Chart

Edge Length (Meters) Inradius (Meters)
7 2.020725942163690
7.5 2.165063509461097
8 2.309401076758503
8.5 2.453738644055909
9 2.598076211353316