Inradius of Equilateral Triangle Calculator

✖The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.ⓘ Edge Length of Equilateral Triangle [l_e]

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✖The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.ⓘ Inradius of Equilateral Triangle [r_i]

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Inradius of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))
r_i = l_e/(2*sqrt(3))
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Inradius of Equilateral Triangle - (Measured in Meter) - The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.
Edge Length of Equilateral Triangle - (Measured in Meter) - The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Equilateral Triangle: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = l_e/(2*sqrt(3)) --> 8/(2*sqrt(3))

Evaluating ... ...

r_i = 2.3094010767585

STEP 3: Convert Result to Output's Unit

2.3094010767585 Meter --> No Conversion Required

FINAL ANSWER

2.3094010767585 ≈ 2.309401 Meter <-- Inradius of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< Inradius of Equilateral Triangle Calculators

Inradius of Equilateral Triangle given Area

LaTeX Go Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))

Inradius of Equilateral Triangle

LaTeX Go Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))

Inradius of Equilateral Triangle given Perimeter

LaTeX Go Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))

Inradius of Equilateral Triangle given Height

LaTeX Go Inradius of Equilateral Triangle = Height of Equilateral Triangle/3

< Important Formulas of Equilateral Triangle Calculators

Circumradius of Equilateral Triangle

LaTeX Go Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3)

Exradius of Equilateral Triangle

LaTeX Go Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Height of Equilateral Triangle

LaTeX Go Height of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle

Area of Equilateral Triangle

LaTeX Go Area of Equilateral Triangle = sqrt(3)/4*Edge Length of Equilateral Triangle^2

Inradius of Equilateral Triangle Formula

LaTeX Go

Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3))
r_i = l_e/(2*sqrt(3))

What is Equilateral Triangle?

In geometry, an Equilateral Triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°.

What is inscribed circle and how its radius calculated for an Equilateral triangle ?

The radius of the inscribed circle of an Equilateral triangle is the length of the radius of the circle of a triangle is the largest circle contained in the triangle; it touches (is tangent to) the three sides. In an Equilateral triangle, all three sides are equal and all the angles measure 60 degrees. The radius of the inscribed circle is calculated by the formula R = √3a /6 where R is the radius of the inscribed circle and is the length of the side of an inscribed circle.

How to Calculate Inradius of Equilateral Triangle?

Inradius of Equilateral Triangle calculator uses Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3)) to calculate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all the three sides of it. Inradius of Equilateral Triangle is denoted by r_i symbol.

How to calculate Inradius of Equilateral Triangle using this online calculator? To use this online calculator for Inradius of Equilateral Triangle, enter Edge Length of Equilateral Triangle (l_e) and hit the calculate button. Here is how the Inradius of Equilateral Triangle calculation can be explained with given input values -> 2.309401 = 8/(2*sqrt(3)).

FAQ

What is Inradius of Equilateral Triangle?

The Inradius of Equilateral Triangle is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all the three sides of it and is represented as r_i = l_e/(2*sqrt(3)) or Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3)). The Edge Length of Equilateral Triangle is the length of one of the sides of the Equilateral Triangle. In an Equilateral Triangle, all three sides are equal.

How to calculate Inradius of Equilateral Triangle?

The Inradius of Equilateral Triangle is the length of the radius of the largest circle contained in the triangle; it touches (is tangent to) all the three sides of it is calculated using Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3)). To calculate Inradius of Equilateral Triangle, you need Edge Length of Equilateral Triangle (l_e). With our tool, you need to enter the respective value for Edge Length of Equilateral Triangle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Inradius of Equilateral Triangle?

In this formula, Inradius of Equilateral Triangle uses Edge Length of Equilateral Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Inradius of Equilateral Triangle = Height of Equilateral Triangle/3
Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))
Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))

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