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

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Perimeter of Equilateral Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Perimeter of Equilateral Triangle - (Measured in Meter) - Perimeter of Equilateral Triangle is defined as the length around the edge of the Equilateral 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

P = 6*sqrt(3)*r_i --> 6*sqrt(3)*2

Evaluating ... ...

P = 20.7846096908265

STEP 3: Convert Result to Output's Unit

20.7846096908265 Meter --> No Conversion Required

FINAL ANSWER

20.7846096908265 ≈ 20.78461 Meter <-- Perimeter of Equilateral Triangle

(Calculation completed in 00.006 seconds)

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Created by Bhavya Mutyala

Osmania University (OU), Hyderabad

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< Perimeter of Equilateral Triangle Calculators

Perimeter of Equilateral Triangle given Area

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

Perimeter of Equilateral Triangle given Circumradius

LaTeX Go Perimeter of Equilateral Triangle = 3*sqrt(3)*Circumradius of Equilateral Triangle

Perimeter of Equilateral Triangle given Height

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

Perimeter of Equilateral Triangle given Semiperimeter

LaTeX Go Perimeter of Equilateral Triangle = 2*Semiperimeter of Equilateral Triangle

Perimeter of Equilateral Triangle given Inradius Formula

LaTeX Go

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

What is an 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 Perimeter of Equilateral Triangle given Inradius?

Perimeter of Equilateral Triangle given Inradius calculator uses Perimeter of Equilateral Triangle = 6*sqrt(3)*Inradius of Equilateral Triangle to calculate the Perimeter of Equilateral Triangle, The Perimeter of Equilateral Triangle given Inradius formula is defined as the total length of the boundary of Equilateral Triangle, calculated using the inradius. Perimeter of Equilateral Triangle is denoted by P symbol.

How to calculate Perimeter of Equilateral Triangle given Inradius using this online calculator? To use this online calculator for Perimeter of Equilateral Triangle given Inradius, enter Inradius of Equilateral Triangle (r_i) and hit the calculate button. Here is how the Perimeter of Equilateral Triangle given Inradius calculation can be explained with given input values -> 20.78461 = 6*sqrt(3)*2.

FAQ

What is Perimeter of Equilateral Triangle given Inradius?

The Perimeter of Equilateral Triangle given Inradius formula is defined as the total length of the boundary of Equilateral Triangle, calculated using the inradius and is represented as P = 6*sqrt(3)*r_i or Perimeter of Equilateral Triangle = 6*sqrt(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 Perimeter of Equilateral Triangle given Inradius?

The Perimeter of Equilateral Triangle given Inradius formula is defined as the total length of the boundary of Equilateral Triangle, calculated using the inradius is calculated using Perimeter of Equilateral Triangle = 6*sqrt(3)*Inradius of Equilateral Triangle. To calculate Perimeter 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 Perimeter of Equilateral Triangle?

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

Perimeter of Equilateral Triangle = 3*sqrt((4*Area of Equilateral Triangle)/sqrt(3))
Perimeter of Equilateral Triangle = 2*sqrt(3)*Height of Equilateral Triangle
Perimeter of Equilateral Triangle = 2*Semiperimeter of Equilateral Triangle

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