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Exradius of Equilateral Triangle Formula

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Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle. Check FAQs

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

r_e - Exradius of Equilateral Triangle?l_e - Edge Length of Equilateral Triangle?

Exradius of Equilateral Triangle Example

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

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

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

6.9282 = \frac{\sqrt{3}}{2} \cdot 8

6.9282m = \frac{\sqrt{3}}{2} \cdot 8m

6.9282 = \frac{\sqrt{3}}{2} \cdot 8

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Exradius of Equilateral Triangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r e = 6.92820323027551m

LAST Step Rounding Answer

∴

r e = 6.9282m

Exradius of Equilateral Triangle Formula Elements

Variables

Functions

Exradius of Equilateral Triangle

Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.

Symbol: r_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Exradius 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 Exradius 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 Height of Equilateral Triangle

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

Go Inradius of Equilateral Triangle

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

How to Evaluate Exradius of Equilateral Triangle?

Exradius of Equilateral Triangle evaluator uses Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle to evaluate the Exradius of Equilateral Triangle, The Exradius of Equilateral Triangle is defined as a radius of an escribed circle of the Equilateral Triangle. Exradius of Equilateral Triangle is denoted by r_e symbol.

How to evaluate Exradius of Equilateral Triangle using this online evaluator? To use this online evaluator for Exradius of Equilateral Triangle, enter Edge Length of Equilateral Triangle (l_e) and hit the calculate button.

FAQs on Exradius of Equilateral Triangle

What is the formula to find Exradius of Equilateral Triangle?

The formula of Exradius of Equilateral Triangle is expressed as Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle. Here is an example- 6.928203 = sqrt(3)/2*8.

How to calculate Exradius of Equilateral Triangle?

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

Can the Exradius of Equilateral Triangle be negative?

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

Which unit is used to measure Exradius of Equilateral Triangle?

Exradius 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 Exradius of Equilateral Triangle can be measured.

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