Exradius of Equilateral Triangle given Inradius Calculator

✖The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.ⓘ Inradius of Equilateral Triangle [r_i]

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

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Exradius of Equilateral Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle
r_e = 3*r_i
This formula uses 2 Variables

Variables Used

Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.
Inradius of Equilateral Triangle - (Measured in Meter) - The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

STEP 1: Convert Input(s) to Base Unit

Inradius of Equilateral Triangle: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_e = 3*r_i --> 3*2

Evaluating ... ...

r_e = 6

STEP 3: Convert Result to Output's Unit

6 Meter --> No Conversion Required

FINAL ANSWER

6 Meter <-- Exradius of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< Exradius of Equilateral Triangle Calculators

Exradius of Equilateral Triangle given Area

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

Exradius of Equilateral Triangle given Perimeter

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

Exradius of Equilateral Triangle

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

Exradius of Equilateral Triangle given Height

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

Exradius of Equilateral Triangle given Inradius Formula

LaTeX Go

Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle
r_e = 3*r_i

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 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 given Inradius?

Exradius of Equilateral Triangle given Inradius calculator uses Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle to calculate the Exradius of Equilateral Triangle, The Exradius of Equilateral Triangle given Inradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using inradius. Exradius of Equilateral Triangle is denoted by r_e symbol.

How to calculate Exradius of Equilateral Triangle given Inradius using this online calculator? To use this online calculator for Exradius of Equilateral Triangle given Inradius, enter Inradius of Equilateral Triangle (r_i) and hit the calculate button. Here is how the Exradius of Equilateral Triangle given Inradius calculation can be explained with given input values -> 6 = 3*2.

FAQ

What is Exradius of Equilateral Triangle given Inradius?

The Exradius of Equilateral Triangle given Inradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using inradius and is represented as r_e = 3*r_i or Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle. The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

How to calculate Exradius of Equilateral Triangle given Inradius?

The Exradius of Equilateral Triangle given Inradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using inradius is calculated using Exradius of Equilateral Triangle = 3*Inradius of Equilateral Triangle. To calculate Exradius of Equilateral Triangle given Inradius, you need Inradius of Equilateral Triangle (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius of Equilateral Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Exradius of Equilateral Triangle = sqrt(3)/2*Edge Length of Equilateral Triangle
Exradius of Equilateral Triangle = sqrt(3)/2*sqrt((4*Area of Equilateral Triangle)/(sqrt(3)))
Exradius of Equilateral Triangle = Height of Equilateral Triangle/1

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