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

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Exradius of Equilateral Triangle given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
r_e = 3/2*r_c
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.
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

r_e = 3/2*r_c --> 3/2*5

Evaluating ... ...

r_e = 7.5

STEP 3: Convert Result to Output's Unit

7.5 Meter --> No Conversion Required

FINAL ANSWER

7.5 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 Circumradius Formula

LaTeX Go

Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle
r_e = 3/2*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°.

How to Calculate Exradius of Equilateral Triangle given Circumradius?

Exradius of Equilateral Triangle given Circumradius calculator uses Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle to calculate the Exradius of Equilateral Triangle, The Exradius of Equilateral Triangle given Circumradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using circumradius. Exradius of Equilateral Triangle is denoted by r_e symbol.

How to calculate Exradius of Equilateral Triangle given Circumradius using this online calculator? To use this online calculator for Exradius of Equilateral Triangle given Circumradius, enter Circumradius of Equilateral Triangle (r_c) and hit the calculate button. Here is how the Exradius of Equilateral Triangle given Circumradius calculation can be explained with given input values -> 7.5 = 3/2*5.

FAQ

What is Exradius of Equilateral Triangle given Circumradius?

The Exradius of Equilateral Triangle given Circumradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using circumradius and is represented as r_e = 3/2*r_c or Exradius of Equilateral Triangle = 3/2*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 Exradius of Equilateral Triangle given Circumradius?

The Exradius of Equilateral Triangle given Circumradius formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using circumradius is calculated using Exradius of Equilateral Triangle = 3/2*Circumradius of Equilateral Triangle. To calculate Exradius 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 Exradius of Equilateral Triangle?

In this formula, Exradius of Equilateral Triangle uses Circumradius 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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