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Inradius of Equilateral Triangle given Semiperimeter Formula

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GoInradius of Equilateral Triangle given Height Formula

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The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle. Check FAQs

r i = \frac{s}{3 \cdot \sqrt{3}}

r_i - Inradius of Equilateral Triangle?s - Semiperimeter of Equilateral Triangle?

Inradius of Equilateral Triangle given Semiperimeter Example

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Here is how the Inradius of Equilateral Triangle given Semiperimeter equation looks like with Values.

Here is how the Inradius of Equilateral Triangle given Semiperimeter equation looks like with Units.

Here is how the Inradius of Equilateral Triangle given Semiperimeter equation looks like.

2.3094 = \frac{12}{3 \cdot \sqrt{3}}

2.3094m = \frac{12m}{3 \cdot \sqrt{3}}

2.3094 = \frac{12}{3 \cdot \sqrt{3}}

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Inradius of Equilateral Triangle given Semiperimeter Solution

Follow our step by step solution on how to calculate Inradius of Equilateral Triangle given Semiperimeter?

FIRST Step Consider the formula

r i = \frac{s}{3 \cdot \sqrt{3}}

Next Step Substitute values of Variables

∴

r i = \frac{12m}{3 \cdot \sqrt{3}}

Next Step Prepare to Evaluate

∴

r i = \frac{12}{3 \cdot \sqrt{3}}

Next Step Evaluate

∴

r i = 2.3094010767585m

LAST Step Rounding Answer

∴

r i = 2.3094m

Inradius of Equilateral Triangle given Semiperimeter Formula Elements

Variables

Functions

Inradius of Equilateral Triangle

The Inradius of Equilateral Triangle is defined as the radius of the circle which is inscribed inside the triangle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Equilateral Triangle

Semiperimeter of Equilateral Triangle

The Semiperimeter of Equilateral triangle is half of the sum of the length of all sides of the triangle.

Symbol: s

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Semiperimeter of Equilateral Triangle

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.

Syntax: sqrt(Number)

Other Formulas to find Inradius of Equilateral Triangle

Go Inradius of Equilateral Triangle

r i = \frac{l e}{2 \cdot \sqrt{3}}

Go Inradius of Equilateral Triangle given Height

r i = \frac{h}{3}

Go Inradius of Equilateral Triangle given Area

r i = \sqrt{\frac{A}{3 \cdot \sqrt{3}}}

Go Inradius of Equilateral Triangle given Perimeter

r i = \frac{P}{6 \cdot \sqrt{3}}

How to Evaluate Inradius of Equilateral Triangle given Semiperimeter?

Inradius of Equilateral Triangle given Semiperimeter evaluator uses Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3)) to evaluate the Inradius of Equilateral Triangle, The Inradius of Equilateral Triangle given Semiperimeter 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 semiperimeter. Inradius of Equilateral Triangle is denoted by r_i symbol.

How to evaluate Inradius of Equilateral Triangle given Semiperimeter using this online evaluator? To use this online evaluator for Inradius of Equilateral Triangle given Semiperimeter, enter Semiperimeter of Equilateral Triangle (s) and hit the calculate button.

FAQs on Inradius of Equilateral Triangle given Semiperimeter

What is the formula to find Inradius of Equilateral Triangle given Semiperimeter?

The formula of Inradius of Equilateral Triangle given Semiperimeter is expressed as Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3)). Here is an example- 2.309401 = 12/(3*sqrt(3)).

How to calculate Inradius of Equilateral Triangle given Semiperimeter?

With Semiperimeter of Equilateral Triangle (s) we can find Inradius of Equilateral Triangle given Semiperimeter using the formula - Inradius of Equilateral Triangle = Semiperimeter of Equilateral Triangle/(3*sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Inradius of Equilateral Triangle?

Here are the different ways to Calculate Inradius of Equilateral Triangle-

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)))

Can the Inradius of Equilateral Triangle given Semiperimeter be negative?

No, the Inradius of Equilateral Triangle given Semiperimeter, measured in Length cannot be negative.

Which unit is used to measure Inradius of Equilateral Triangle given Semiperimeter?

Inradius of Equilateral Triangle given Semiperimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Equilateral Triangle given Semiperimeter can be measured.

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