Semiperimeter 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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✖The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.ⓘ Semiperimeter of Equilateral Triangle given Inradius [s]

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Semiperimeter of Equilateral Triangle given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Semiperimeter of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle
s = 3*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

Semiperimeter of Equilateral Triangle - (Measured in Meter) - The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the 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

s = 3*sqrt(3)*r_i --> 3*sqrt(3)*2

Evaluating ... ...

s = 10.3923048454133

STEP 3: Convert Result to Output's Unit

10.3923048454133 Meter --> No Conversion Required

FINAL ANSWER

10.3923048454133 ≈ 10.3923 Meter <-- Semiperimeter of Equilateral Triangle

(Calculation completed in 00.020 seconds)

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< Semiperimeter of Equilateral Triangle Calculators

Semiperimeter of Equilateral Triangle given Area

LaTeX Go Semiperimeter of Equilateral Triangle = 3/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

Semiperimeter of Equilateral Triangle given Circumradius

LaTeX Go Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle

Semiperimeter of Equilateral Triangle given Height

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

Semiperimeter of Equilateral Triangle

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

Semiperimeter of Equilateral Triangle given Inradius Formula

LaTeX Go

Semiperimeter of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle
s = 3*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 Semiperimeter is calculated?

Its Semiperimeter is calculated by the formula S = 3a/2 where S is the semi perimeter of an equilateral triangle and a is the length of the side of the triangle.

How to Calculate Semiperimeter of Equilateral Triangle given Inradius?

Semiperimeter of Equilateral Triangle given Inradius calculator uses Semiperimeter of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle to calculate the Semiperimeter of Equilateral Triangle, The Semiperimeter of Equilateral Triangle given Inradius formula is defined as half of the sum of the length of all sides of an Equilateral Triangle, which is also half of the perimeter of the triangle, calculated using inradius. Semiperimeter of Equilateral Triangle is denoted by s symbol.

How to calculate Semiperimeter of Equilateral Triangle given Inradius using this online calculator? To use this online calculator for Semiperimeter of Equilateral Triangle given Inradius, enter Inradius of Equilateral Triangle (r_i) and hit the calculate button. Here is how the Semiperimeter of Equilateral Triangle given Inradius calculation can be explained with given input values -> 10.3923 = 3*sqrt(3)*2.

FAQ

What is Semiperimeter of Equilateral Triangle given Inradius?

The Semiperimeter of Equilateral Triangle given Inradius formula is defined as half of the sum of the length of all sides of an Equilateral Triangle, which is also half of the perimeter of the triangle, calculated using inradius and is represented as s = 3*sqrt(3)*r_i or Semiperimeter of Equilateral Triangle = 3*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 Semiperimeter of Equilateral Triangle given Inradius?

The Semiperimeter of Equilateral Triangle given Inradius formula is defined as half of the sum of the length of all sides of an Equilateral Triangle, which is also half of the perimeter of the triangle, calculated using inradius is calculated using Semiperimeter of Equilateral Triangle = 3*sqrt(3)*Inradius of Equilateral Triangle. To calculate Semiperimeter 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 Semiperimeter of Equilateral Triangle?

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

Semiperimeter of Equilateral Triangle = (3*sqrt(3))/2*Circumradius of Equilateral Triangle
Semiperimeter of Equilateral Triangle = (3*Edge Length of Equilateral Triangle)/2
Semiperimeter of Equilateral Triangle = 3/2*sqrt((4*Area of Equilateral Triangle)/sqrt(3))

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