Edge Length of Equilateral Triangle given Circumradius Calculator

✖The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.ⓘ Circumradius of Equilateral Triangle [r_c]

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✖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 given Circumradius [l_e]

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Edge Length of Equilateral Triangle given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
l_e = sqrt(3)*r_c
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

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.
Circumradius of Equilateral Triangle - (Measured in Meter) - The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Equilateral Triangle: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(3)*r_c --> sqrt(3)*5

Evaluating ... ...

l_e = 8.66025403784439

STEP 3: Convert Result to Output's Unit

8.66025403784439 Meter --> No Conversion Required

FINAL ANSWER

8.66025403784439 ≈ 8.660254 Meter <-- Edge Length of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< Edge Length of Equilateral Triangle Calculators

Edge Length of Equilateral Triangle given Length of Angle Bisector

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

Edge Length of Equilateral Triangle given Circumradius

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

Edge Length of Equilateral Triangle given Height

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

Edge Length of Equilateral Triangle given Perimeter

LaTeX Go Edge Length of Equilateral Triangle = Perimeter 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

Edge Length of Equilateral Triangle given Circumradius Formula

LaTeX Go

Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle
l_e = sqrt(3)*r_c

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 Circumcircle?

The Circumscribed circle or circumcircle of an equilateral triangle is a circle that passes through all the vertices of the equilateral triangle. The center of this circle is called the circumcenter and its radius is called circumradius.

How to Calculate Edge Length of Equilateral Triangle given Circumradius?

Edge Length of Equilateral Triangle given Circumradius calculator uses Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle to calculate the Edge Length of Equilateral Triangle, The Edge Length of Equilateral Triangle given Circumradius formula is defined as the length of the side of the Equilateral triangle, calculated using the circumradius. Edge Length of Equilateral Triangle is denoted by l_e symbol.

How to calculate Edge Length of Equilateral Triangle given Circumradius using this online calculator? To use this online calculator for Edge Length of Equilateral Triangle given Circumradius, enter Circumradius of Equilateral Triangle (r_c) and hit the calculate button. Here is how the Edge Length of Equilateral Triangle given Circumradius calculation can be explained with given input values -> 8.660254 = sqrt(3)*5.

FAQ

What is Edge Length of Equilateral Triangle given Circumradius?

The Edge Length of Equilateral Triangle given Circumradius formula is defined as the length of the side of the Equilateral triangle, calculated using the circumradius and is represented as l_e = sqrt(3)*r_c or Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle. The Circumradius of Equilateral Triangle is the radius of a circumcircle touching each of the Equilateral Triangle's vertices.

How to calculate Edge Length of Equilateral Triangle given Circumradius?

The Edge Length of Equilateral Triangle given Circumradius formula is defined as the length of the side of the Equilateral triangle, calculated using the circumradius is calculated using Edge Length of Equilateral Triangle = sqrt(3)*Circumradius of Equilateral Triangle. To calculate Edge Length of Equilateral Triangle given Circumradius, you need Circumradius of Equilateral Triangle (r_c). With our tool, you need to enter the respective value for Circumradius 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 Edge Length of Equilateral Triangle?

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

Edge Length of Equilateral Triangle = (2*Height of Equilateral Triangle)/sqrt(3)
Edge Length of Equilateral Triangle = (2*Length of Angle Bisector of Equilateral Triangle)/sqrt(3)
Edge Length of Equilateral Triangle = Perimeter of Equilateral Triangle/3

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