Circumradius 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 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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Formula

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Circumradius of Equilateral Triangle

Formula

`"r"_{"c"} = "l"_{"e"}/sqrt(3)`

Example

`"4.618802m"="8m"/sqrt(3)`

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Circumradius of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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_c = l_e/sqrt(3) --> 8/sqrt(3)

Evaluating ... ...

r_c = 4.61880215351701

STEP 3: Convert Result to Output's Unit

4.61880215351701 Meter --> No Conversion Required

FINAL ANSWER

4.61880215351701 ≈ 4.618802 Meter <-- Circumradius of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< 9 Circumradius of Equilateral Triangle Calculators

Circumradius of Equilateral Triangle given Area

Go Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3)))

Circumradius of Equilateral Triangle given Semiperimeter

Go Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3))

Circumradius of Equilateral Triangle given Perimeter

Go Circumradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(3*sqrt(3))

Circumradius of Equilateral Triangle

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

Circumradius of Equilateral Triangle given Length of Angle Bisector

Go Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector of Equilateral Triangle

Circumradius of Equilateral Triangle given Exradius

Go Circumradius of Equilateral Triangle = 2/3*Exradius of Equilateral Triangle

Circumradius of Equilateral Triangle given Inradius

Go Circumradius of Equilateral Triangle = 2*Inradius of Equilateral Triangle

Circumradius of Equilateral Triangle given Height

Go Circumradius of Equilateral Triangle = 2/3*Height of Equilateral Triangle

Circumradius of Equilateral Triangle given Median

Go Circumradius of Equilateral Triangle = 2/3*Median of Equilateral Triangle

< 13 Important Formulas of Equilateral Triangle Calculators

Length of Angle Bisector of Equilateral Triangle

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

Semiperimeter of Equilateral Triangle given Circumradius

Go Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle

Edge Length of Equilateral Triangle given Circumradius

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

Circumradius of Equilateral Triangle

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

Inradius of Equilateral Triangle

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

Edge Length of Equilateral Triangle given Height

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

Exradius of Equilateral Triangle

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

Median of Equilateral Triangle

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

Height of Equilateral Triangle

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

Area of Equilateral Triangle

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

Semiperimeter of Equilateral Triangle

Go Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2

Perimeter of Equilateral Triangle

Go Perimeter of Equilateral Triangle = 3*Edge Length of Equilateral Triangle

Height of Equilateral Triangle given Inradius

Go Height of Equilateral Triangle = 3*Inradius of Equilateral Triangle

Circumradius of Equilateral Triangle Formula

Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3)
r_c = l_e/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 Circumscribed circle and how its radius is calculated when circumscribed in an equilateral triangle ?

In geometry, 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. In an equilateral triangle, all three sides are equal in length and all angle measures 60 degrees. Its formula is R = a / √3 where R is the radius of the circumscribed circle of the equilateral triangle and a is the side of the equilateral triangle.

How to Calculate Circumradius of Equilateral Triangle?

Circumradius of Equilateral Triangle calculator uses Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3) to calculate 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 calculate Circumradius of Equilateral Triangle using this online calculator? To use this online calculator for Circumradius of Equilateral Triangle, enter Edge Length of Equilateral Triangle (l_e) and hit the calculate button. Here is how the Circumradius of Equilateral Triangle calculation can be explained with given input values -> 4.618802 = 8/sqrt(3).

FAQ

What is 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 and is represented as r_c = l_e/sqrt(3) or Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/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 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 is calculated using Circumradius of Equilateral Triangle = Edge Length of Equilateral Triangle/sqrt(3). To calculate Circumradius 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 Circumradius of Equilateral Triangle?

In this formula, Circumradius of Equilateral Triangle uses Edge Length of Equilateral Triangle. We can use 8 other way(s) to calculate the same, which is/are as follows -

Circumradius of Equilateral Triangle = 2/3*Height of Equilateral Triangle
Circumradius of Equilateral Triangle = sqrt((4*Area of Equilateral Triangle)/(3*sqrt(3)))
Circumradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(3*sqrt(3))
Circumradius of Equilateral Triangle = 2*Inradius of Equilateral Triangle
Circumradius of Equilateral Triangle = 2/3*Exradius of Equilateral Triangle
Circumradius of Equilateral Triangle = 2/3*Median of Equilateral Triangle
Circumradius of Equilateral Triangle = (2*Semiperimeter of Equilateral Triangle)/(3*sqrt(3))
Circumradius of Equilateral Triangle = 2/3*Length of Angle Bisector of Equilateral Triangle

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