FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Circumradius of Hexagon given Inradius Formula

GoCircumradius of Hexagon given Area Formula

GoCircumradius of Hexagon given Height Formula

Fx Copy

LaTeX Copy

The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle. Check FAQs

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

r_c - Circumradius of Hexagon?r_i - Inradius of Hexagon?

Circumradius of Hexagon given Inradius Example

With values

With units

Only example

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

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

Here is how the Circumradius of Hexagon given Inradius equation looks like.

5.7735 = 2 \cdot \frac{5}{\sqrt{3}}

5.7735m = 2 \cdot \frac{5m}{\sqrt{3}}

5.7735 = 2 \cdot \frac{5}{\sqrt{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Circumradius of Hexagon given Inradius

Circumradius of Hexagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = 2 \cdot \frac{5m}{\sqrt{3}}

Next Step Prepare to Evaluate

∴

r c = 2 \cdot \frac{5}{\sqrt{3}}

Next Step Evaluate

∴

r c = 5.77350269189626m

LAST Step Rounding Answer

∴

r c = 5.7735m

Circumradius of Hexagon given Inradius Formula Elements

Variables

Functions

Circumradius of Hexagon

The Circumradius of Hexagon is the radius of circumcircle of the Hexagon or the circle that contains the Hexagon with all vertices lies on that circle.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Hexagon

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

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 Circumradius of Hexagon

Go Circumradius of Hexagon given Area

r c = \sqrt{(\frac{2}{3 \cdot \sqrt{3}}) \cdot A}

Go Circumradius of Hexagon given Height

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

Go Circumradius of Hexagon given Long Diagonal

r c = \frac{d Long}{2}

Go Circumradius of Hexagon given Perimeter

r c = \frac{P}{6}

How to Evaluate Circumradius of Hexagon given Inradius?

Circumradius of Hexagon given Inradius evaluator uses Circumradius of Hexagon = 2*Inradius of Hexagon/sqrt(3) to evaluate the Circumradius of Hexagon, The Circumradius of Hexagon given Inradius formula is defined as the radius of the circumcircle of the Regular Hexagon or the circle that contains the Hexagon with all vertices lying on that circle and calculated using inradius. Circumradius of Hexagon is denoted by r_c symbol.

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

FAQs on Circumradius of Hexagon given Inradius

What is the formula to find Circumradius of Hexagon given Inradius?

The formula of Circumradius of Hexagon given Inradius is expressed as Circumradius of Hexagon = 2*Inradius of Hexagon/sqrt(3). Here is an example- 5.773503 = 2*5/sqrt(3).

How to calculate Circumradius of Hexagon given Inradius?

With Inradius of Hexagon (r_i) we can find Circumradius of Hexagon given Inradius using the formula - Circumradius of Hexagon = 2*Inradius of Hexagon/sqrt(3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Hexagon?

Here are the different ways to Calculate Circumradius of Hexagon-

Circumradius of Hexagon=sqrt((2/(3*sqrt(3)))*Area of Hexagon)
Circumradius of Hexagon=Height of Hexagon/(sqrt(3))
Circumradius of Hexagon=Long Diagonal of Hexagon/2

Can the Circumradius of Hexagon given Inradius be negative?

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

Which unit is used to measure Circumradius of Hexagon given Inradius?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit