Perimeter of Equilateral Triangle given Exradius Calculator

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

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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 Exradius [P]

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Perimeter of Equilateral Triangle given Exradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Equilateral Triangle = 2*sqrt(3)*Exradius of Equilateral Triangle
P = 2*sqrt(3)*r_e
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.
Exradius of Equilateral Triangle - (Measured in Meter) - Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.

STEP 1: Convert Input(s) to Base Unit

Exradius of Equilateral Triangle: 7 Meter --> 7 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 2*sqrt(3)*r_e --> 2*sqrt(3)*7

Evaluating ... ...

P = 24.2487113059643

STEP 3: Convert Result to Output's Unit

24.2487113059643 Meter --> No Conversion Required

FINAL ANSWER

24.2487113059643 ≈ 24.24871 Meter <-- Perimeter of Equilateral Triangle

(Calculation completed in 00.004 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 Exradius Formula

LaTeX Go

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

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 Exradius?

Perimeter of Equilateral Triangle given Exradius calculator uses Perimeter of Equilateral Triangle = 2*sqrt(3)*Exradius of Equilateral Triangle to calculate the Perimeter of Equilateral Triangle, The Perimeter of Equilateral Triangle given Exradius formula is defined as the total length of the boundary of Equilateral Triangle, calculated using the exradius. Perimeter of Equilateral Triangle is denoted by P symbol.

How to calculate Perimeter of Equilateral Triangle given Exradius using this online calculator? To use this online calculator for Perimeter of Equilateral Triangle given Exradius, enter Exradius of Equilateral Triangle (r_e) and hit the calculate button. Here is how the Perimeter of Equilateral Triangle given Exradius calculation can be explained with given input values -> 24.24871 = 2*sqrt(3)*7.

FAQ

What is Perimeter of Equilateral Triangle given Exradius?

The Perimeter of Equilateral Triangle given Exradius formula is defined as the total length of the boundary of Equilateral Triangle, calculated using the exradius and is represented as P = 2*sqrt(3)*r_e or Perimeter of Equilateral Triangle = 2*sqrt(3)*Exradius of Equilateral Triangle. Exradius of Equilateral Triangle is the radius of the escribed circle of the triangle.

How to calculate Perimeter of Equilateral Triangle given Exradius?

The Perimeter of Equilateral Triangle given Exradius formula is defined as the total length of the boundary of Equilateral Triangle, calculated using the exradius is calculated using Perimeter of Equilateral Triangle = 2*sqrt(3)*Exradius of Equilateral Triangle. To calculate Perimeter of Equilateral Triangle given Exradius, you need Exradius of Equilateral Triangle (r_e). With our tool, you need to enter the respective value for Exradius 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 Exradius 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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