Exradius of Equilateral Triangle given Perimeter Calculator

✖Perimeter of Equilateral Triangle is defined as the length around the edge of the Equilateral Triangle.ⓘ Perimeter of Equilateral Triangle [P]

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

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Exradius of Equilateral Triangle given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.
Perimeter of Equilateral Triangle - (Measured in Meter) - Perimeter of Equilateral Triangle is defined as the length around the edge of the Equilateral Triangle.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Equilateral Triangle: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_e = P/(2*sqrt(3)) --> 25/(2*sqrt(3))

Evaluating ... ...

r_e = 7.21687836487032

STEP 3: Convert Result to Output's Unit

7.21687836487032 Meter --> No Conversion Required

FINAL ANSWER

7.21687836487032 ≈ 7.216878 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 Perimeter Formula

LaTeX Go

Exradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3))
r_e = P/(2*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 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 Perimeter?

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

How to calculate Exradius of Equilateral Triangle given Perimeter using this online calculator? To use this online calculator for Exradius of Equilateral Triangle given Perimeter, enter Perimeter of Equilateral Triangle (P) and hit the calculate button. Here is how the Exradius of Equilateral Triangle given Perimeter calculation can be explained with given input values -> 7.216878 = 25/(2*sqrt(3)).

FAQ

What is Exradius of Equilateral Triangle given Perimeter?

The Exradius of Equilateral Triangle given Perimeter formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using perimeter and is represented as r_e = P/(2*sqrt(3)) or Exradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3)). Perimeter of Equilateral Triangle is defined as the length around the edge of the Equilateral Triangle.

How to calculate Exradius of Equilateral Triangle given Perimeter?

The Exradius of Equilateral Triangle given Perimeter formula is defined as the radius of an escribed circle of the Equilateral Triangle, calculated using perimeter is calculated using Exradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(2*sqrt(3)). To calculate Exradius of Equilateral Triangle given Perimeter, you need Perimeter of Equilateral Triangle (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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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