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Inradius of Hexagon Formula

GoInradius of Hexagon given Circumradius 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 = \frac{\sqrt{3}}{2} \cdot l e

r_i - Inradius of Hexagon?l_e - Edge Length of Hexagon?

Inradius of Hexagon Example

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Here is how the Inradius of Hexagon equation looks like with Values.

Here is how the Inradius of Hexagon equation looks like with Units.

Here is how the Inradius of Hexagon equation looks like.

5.1962 = \frac{\sqrt{3}}{2} \cdot 6

5.1962m = \frac{\sqrt{3}}{2} \cdot 6m

5.1962 = \frac{\sqrt{3}}{2} \cdot 6

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Inradius of Hexagon Solution

Follow our step by step solution on how to calculate Inradius of Hexagon?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{\sqrt{3}}{2} \cdot 6m

Next Step Prepare to Evaluate

∴

r i = \frac{\sqrt{3}}{2} \cdot 6

Next Step Evaluate

∴

r i = 5.19615242270663m

LAST Step Rounding Answer

∴

r i = 5.1962m

Inradius of Hexagon 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

Edge Length of Hexagon

The Edge Length of Hexagon is the length of any of the six edges of the Regular Hexagon, or the length of a particular side of Hexagon which is given in the problem.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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

Other formulas in Inradius of Hexagon category

Go Circumradius of Hexagon

r c = \frac{l e}{1}

Go Circumradius of Hexagon given Height

r c = \frac{h}{\sqrt{3}}

Go Circumradius of Hexagon given Width

r c = \frac{w}{2}

How to Evaluate Inradius of Hexagon?

Inradius of Hexagon evaluator uses Inradius of Hexagon = sqrt(3)/2*Edge Length of Hexagon to evaluate the Inradius of Hexagon, The Inradius of Hexagon formula is defined as the radius of incircle of the Regular Hexagon or the circle that contained by the Hexagon with all edges touch the circle. Inradius of Hexagon is denoted by r_i symbol.

How to evaluate Inradius of Hexagon using this online evaluator? To use this online evaluator for Inradius of Hexagon, enter Edge Length of Hexagon (l_e) and hit the calculate button.

FAQs on Inradius of Hexagon

What is the formula to find Inradius of Hexagon?

The formula of Inradius of Hexagon is expressed as Inradius of Hexagon = sqrt(3)/2*Edge Length of Hexagon. Here is an example- 5.196152 = sqrt(3)/2*6.

How to calculate Inradius of Hexagon?

With Edge Length of Hexagon (l_e) we can find Inradius of Hexagon using the formula - Inradius of Hexagon = sqrt(3)/2*Edge Length of Hexagon. 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

Can the Inradius of Hexagon be negative?

No, the Inradius of Hexagon, measured in Length cannot be negative.

Which unit is used to measure Inradius of Hexagon?

Inradius of Hexagon 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 can be measured.

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