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

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Inradius of Equilateral Triangle given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))
r_i = P/(6*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

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.
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_i = P/(6*sqrt(3)) --> 25/(6*sqrt(3))

Evaluating ... ...

r_i = 2.40562612162344

STEP 3: Convert Result to Output's Unit

2.40562612162344 Meter --> No Conversion Required

FINAL ANSWER

2.40562612162344 ≈ 2.405626 Meter <-- Inradius of Equilateral Triangle

(Calculation completed in 00.004 seconds)

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< Inradius of Equilateral Triangle Calculators

Inradius of Equilateral Triangle given Area

LaTeX Go Inradius of Equilateral Triangle = sqrt((Area of Equilateral Triangle)/(3*sqrt(3)))

Inradius of Equilateral Triangle

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

Inradius of Equilateral Triangle given Perimeter

LaTeX Go Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))

Inradius of Equilateral Triangle given Height

LaTeX Go Inradius of Equilateral Triangle = Height of Equilateral Triangle/3

Inradius of Equilateral Triangle given Perimeter Formula

LaTeX Go

Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3))
r_i = P/(6*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°.

How to Calculate Inradius of Equilateral Triangle given Perimeter?

Inradius of Equilateral Triangle given Perimeter calculator uses Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3)) to calculate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Perimeter formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all the three sides of equilateral triangle, calculated using perimeter. Inradius of Equilateral Triangle is denoted by r_i symbol.

How to calculate Inradius of Equilateral Triangle given Perimeter using this online calculator? To use this online calculator for Inradius of Equilateral Triangle given Perimeter, enter Perimeter of Equilateral Triangle (P) and hit the calculate button. Here is how the Inradius of Equilateral Triangle given Perimeter calculation can be explained with given input values -> 2.405626 = 25/(6*sqrt(3)).

FAQ

What is Inradius of Equilateral Triangle given Perimeter?

The Inradius of Equilateral Triangle given Perimeter formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all the three sides of equilateral triangle, calculated using perimeter and is represented as r_i = P/(6*sqrt(3)) or Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3)). Perimeter of Equilateral Triangle is defined as the length around the edge of the Equilateral Triangle.

How to calculate Inradius of Equilateral Triangle given Perimeter?

The Inradius of Equilateral Triangle given Perimeter formula is defined as the length of the radius of the largest circle contained in the triangle and touches (is tangent to) all the three sides of equilateral triangle, calculated using perimeter is calculated using Inradius of Equilateral Triangle = Perimeter of Equilateral Triangle/(6*sqrt(3)). To calculate Inradius 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 Inradius of Equilateral Triangle?

In this formula, Inradius of Equilateral Triangle uses Perimeter of Equilateral Triangle. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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