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Inradius of Hexagon given Area of Equilateral Triangle Formula

GoInradius of Hexagon given Circumradius Formula

GoInradius of Hexagon given Height Formula

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The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle. Check FAQs

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

r_i - Inradius of Hexagon?A_{Equilateral Triangle} - Area of Equilateral Triangle of Hexagon?

Inradius of Hexagon given Area of Equilateral Triangle Example

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

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

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

5.0971 = \sqrt{3 \cdot \frac{15}{\sqrt{3}}}

5.0971m = \sqrt{3 \cdot \frac{15m²}{\sqrt{3}}}

5.0971 = \sqrt{3 \cdot \frac{15}{\sqrt{3}}}

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Inradius of Hexagon given Area of Equilateral Triangle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \sqrt{3 \cdot \frac{15m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

r i = \sqrt{3 \cdot \frac{15}{\sqrt{3}}}

Next Step Evaluate

∴

r i = 5.09713273454137m

LAST Step Rounding Answer

∴

r i = 5.0971m

Inradius of Hexagon given Area of Equilateral Triangle Formula Elements

Variables

Functions

Inradius of Hexagon

The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Hexagon

Area of Equilateral Triangle of Hexagon

Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

Symbol: A_{Equilateral Triangle}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Equilateral Triangle of Hexagon

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 Hexagon

Go Inradius of Hexagon given Circumradius

r i = \frac{\sqrt{3}}{2} \cdot r c

Go Inradius of Hexagon given Height

r i = \frac{h}{2}

Go Inradius of Hexagon

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

Go Inradius of Hexagon given Long Diagonal

r i = \frac{\sqrt{3}}{4} \cdot d Long

How to Evaluate Inradius of Hexagon given Area of Equilateral Triangle?

Inradius of Hexagon given Area of Equilateral Triangle evaluator uses Inradius of Hexagon = sqrt(3*Area of Equilateral Triangle of Hexagon/sqrt(3)) to evaluate the Inradius of Hexagon, The Inradius of Hexagon given Area of Equilateral Triangle formula is defined as the radius of incircle of the Regular Hexagon or the circle contained by the Hexagon with all edges touching the circle, calculated using the area of the equilateral triangle. Inradius of Hexagon is denoted by r_i symbol.

How to evaluate Inradius of Hexagon given Area of Equilateral Triangle using this online evaluator? To use this online evaluator for Inradius of Hexagon given Area of Equilateral Triangle, enter Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}) and hit the calculate button.

FAQs on Inradius of Hexagon given Area of Equilateral Triangle

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

The formula of Inradius of Hexagon given Area of Equilateral Triangle is expressed as Inradius of Hexagon = sqrt(3*Area of Equilateral Triangle of Hexagon/sqrt(3)). Here is an example- 5.097133 = sqrt(3*15/sqrt(3)).

How to calculate Inradius of Hexagon given Area of Equilateral Triangle?

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

What are the other ways to Calculate Inradius of Hexagon?

Here are the different ways to Calculate Inradius of Hexagon-

Inradius of Hexagon=sqrt(3)/2*Circumradius of Hexagon
Inradius of Hexagon=Height of Hexagon/2
Inradius of Hexagon=sqrt(3)/2*Edge Length of Hexagon

Can the Inradius of Hexagon given Area of Equilateral Triangle be negative?

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

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

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

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