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Circumradius of Equilateral Triangle Formula

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The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices. Check FAQs

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

r_c - Circumradius of Equilateral Triangle?l_e - Edge Length of Equilateral Triangle?

Circumradius of Equilateral Triangle Example

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

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

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

4.6188 = \frac{8}{\sqrt{3}}

4.6188m = \frac{8m}{\sqrt{3}}

4.6188 = \frac{8}{\sqrt{3}}

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Circumradius of Equilateral Triangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{8m}{\sqrt{3}}

Next Step Prepare to Evaluate

∴

r c = \frac{8}{\sqrt{3}}

Next Step Evaluate

∴

r c = 4.61880215351701m

LAST Step Rounding Answer

∴

r c = 4.6188m

Circumradius of Equilateral Triangle Formula Elements

Variables

Functions

Circumradius of Equilateral Triangle

The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Circumradius of Equilateral Triangle category

Go Area of Equilateral Triangle

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

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

Go Inradius of Equilateral Triangle

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

How to Evaluate Circumradius of Equilateral Triangle?

Circumradius of Equilateral Triangle evaluator uses Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3) to evaluate the Circumradius of Equilateral Triangle, Circumradius of Equilateral Triangle is the length of the radius of the circle that passes through all the vertices of the isosceles triangle. The center of this circle is called the circumcenter and its radius is called circumradius. Circumradius of Equilateral Triangle is denoted by r_c symbol.

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

FAQs on Circumradius of Equilateral Triangle

What is the formula to find Circumradius of Equilateral Triangle?

The formula of Circumradius of Equilateral Triangle is expressed as Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3). Here is an example- 4.618802 = 8/sqrt(3).

How to calculate Circumradius of Equilateral Triangle?

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

Can the Circumradius of Equilateral Triangle be negative?

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

Which unit is used to measure Circumradius of Equilateral Triangle?

Circumradius 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 Circumradius of Equilateral Triangle can be measured.

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