Exradius 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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✖Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.ⓘ Exradius of Equilateral Triangle [r_e]

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Formula

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Exradius of Equilateral Triangle

Formula

`"r"_{"e"} = sqrt(3)/2*"l"_{"e"}`

Example

`"6.928203m"=sqrt(3)/2*"8m"`

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Exradius of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.
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_e = sqrt(3)/2*l_e --> sqrt(3)/2*8

Evaluating ... ...

r_e = 6.92820323027551

STEP 3: Convert Result to Output's Unit

6.92820323027551 Meter --> No Conversion Required

FINAL ANSWER

6.92820323027551 ≈ 6.928203 Meter <-- Exradius of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Triangle » Equilateral Triangle » Radius of Equilateral Triangle » Exradius of Equilateral Triangle » Exradius of Equilateral Triangle

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Created by Venkata Sai Prasanna Aradhyula

Birla Institute of Technology & Science (BITS), Hyderabad

Venkata Sai Prasanna Aradhyula has created this Calculator and 10+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 9 Exradius of Equilateral Triangle Calculators

Exradius of Equilateral Triangle given Area

Go Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))

Exradius of Equilateral Triangle given Semiperimeter

Go Exradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))

Exradius of Equilateral Triangle given Perimeter

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

Exradius of Equilateral Triangle

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

Exradius of Equilateral Triangle given Length of Angle Bisector

Go Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1

Exradius of Equilateral Triangle given Circumradius

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

Exradius of Equilateral Triangle given Inradius

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

Exradius of Equilateral Triangle given Height

Go Exradius of Equilateral Triangle = Height of Equilateral Triangle/1

Exradius of Equilateral Triangle given Median

Go Exradius of Equilateral Triangle = Median of Equilateral Triangle/1

< 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

Exradius of Equilateral Triangle Formula

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

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 an Exradius of an Equilateral Triangle ?

An Excircle or escribed circle of the triangle is a circle lying outside the triangle, tangent to one of its sides and tangent to the extensions of the other two. Every triangle has three distinct excircles, each tangent to one of the triangle's sides. For an equilateral triangle, all 3 ex radii will be equal.

How to Calculate Exradius of Equilateral Triangle?

Exradius of Equilateral Triangle calculator uses Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle to calculate 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 calculate Exradius of Equilateral Triangle using this online calculator? To use this online calculator for Exradius of Equilateral Triangle, enter Edge Length of Equilateral Triangle (l_e) and hit the calculate button. Here is how the Exradius of Equilateral Triangle calculation can be explained with given input values -> 6.928203 = sqrt(3)/2*8.

FAQ

What is Exradius of Equilateral Triangle?

The Exradius of Equilateral Triangle is defined as a radius of an escribed circle of the Equilateral Triangle and is represented as r_e = sqrt(3)/2*l_e or Exradius of Equilateral Triangle = sqrt(3)/2*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.

How to calculate Exradius of Equilateral Triangle?

The Exradius of Equilateral Triangle is defined as a radius of an escribed circle of the Equilateral Triangle is calculated using Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle. To calculate Exradius 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 Exradius of Equilateral Triangle?

In this formula, Exradius 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 -

Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
Exradius of Equilateral Triangle = Height of Equilateral Triangle/1
Exradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle
Exradius of Equilateral Triangle = Median of Equilateral Triangle/1
Exradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(sqrt(3))
Exradius of Equilateral Triangle = Length of Angle Bisector of Equilateral Triangle/1

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