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Inradius of Equilateral Triangle Formula

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The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle. Check FAQs

r i = \frac{l e}{2 \cdot \sqrt{3}}

r_i - Inradius of Equilateral Triangle?l_e - Edge Length of Equilateral Triangle?

Inradius of Equilateral Triangle Example

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Here is how the Inradius of Equilateral Triangle equation looks like with Values.

Here is how the Inradius of Equilateral Triangle equation looks like with Units.

Here is how the Inradius of Equilateral Triangle equation looks like.

2.3094 = \frac{8}{2 \cdot \sqrt{3}}

2.3094m = \frac{8m}{2 \cdot \sqrt{3}}

2.3094 = \frac{8}{2 \cdot \sqrt{3}}

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Inradius of Equilateral Triangle Solution

Follow our step by step solution on how to calculate Inradius of Equilateral Triangle?

FIRST Step Consider the formula

r i = \frac{l e}{2 \cdot \sqrt{3}}

Next Step Substitute values of Variables

∴

r i = \frac{8m}{2 \cdot \sqrt{3}}

Next Step Prepare to Evaluate

∴

r i = \frac{8}{2 \cdot \sqrt{3}}

Next Step Evaluate

∴

r i = 2.3094010767585m

LAST Step Rounding Answer

∴

r i = 2.3094m

Inradius of Equilateral Triangle Formula Elements

Variables

Functions

Inradius of Equilateral Triangle

The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Equilateral Triangle

Edge Length of Equilateral Triangle

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.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Equilateral Triangle

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.

Syntax: sqrt(Number)

Other formulas in Inradius of Equilateral Triangle category

Go Area of Equilateral Triangle

A = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Circumradius of Equilateral Triangle

r c = \frac{l e}{\sqrt{3}}

Go Exradius of Equilateral Triangle

r e = \frac{\sqrt{3}}{2} \cdot l e

Go Height of Equilateral Triangle

h = \frac{\sqrt{3}}{2} \cdot l e

How to Evaluate Inradius of Equilateral Triangle?

Inradius of Equilateral Triangle evaluator uses Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3)) to evaluate 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 evaluate Inradius of Equilateral Triangle using this online evaluator? To use this online evaluator for Inradius of Equilateral Triangle, enter Edge Length of Equilateral Triangle (l_e) and hit the calculate button.

FAQs on Inradius of Equilateral Triangle

What is the formula to find Inradius of Equilateral Triangle?

The formula of Inradius of Equilateral Triangle is expressed as Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3)). Here is an example- 2.309401 = 8/(2*sqrt(3)).

How to calculate Inradius of Equilateral Triangle?

With Edge Length of Equilateral Triangle (l_e) we can find Inradius of Equilateral Triangle using the formula - Inradius of Equilateral Triangle = Edge Length of Equilateral Triangle/(2*sqrt(3)). This formula also uses Square Root (sqrt) function(s).

Can the Inradius of Equilateral Triangle be negative?

No, the Inradius of Equilateral Triangle, measured in Length cannot be negative.

Which unit is used to measure Inradius of Equilateral Triangle?

Inradius of Equilateral Triangle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Equilateral Triangle can be measured.

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