Circumradius of Hexagon given Area of Equilateral Triangle Calculator

✖Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.ⓘ Area of Equilateral Triangle of Hexagon [A_{Equilateral Triangle}]

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✖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.ⓘ Circumradius of Hexagon given Area of Equilateral Triangle [r_c]

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Formula

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Circumradius of Hexagon given Area of Equilateral Triangle

Formula

`"r"_{"c"} = sqrt(4/sqrt(3)*"A"_{"Equilateral Triangle"})`

Example

`"5.885662m"=sqrt(4/sqrt(3)*"15m²")`

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Circumradius of Hexagon given Area of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hexagon = sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon)
r_c = sqrt(4/sqrt(3)*A_{Equilateral Triangle})
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

Circumradius of Hexagon - (Measured in Meter) - 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.
Area of Equilateral Triangle of Hexagon - (Measured in Square Meter) - Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Area of Equilateral Triangle of Hexagon: 15 Square Meter --> 15 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(4/sqrt(3)*A_{Equilateral Triangle}) --> sqrt(4/sqrt(3)*15)

Evaluating ... ...

r_c = 5.88566191276542

STEP 3: Convert Result to Output's Unit

5.88566191276542 Meter --> No Conversion Required

FINAL ANSWER

5.88566191276542 ≈ 5.885662 Meter <-- Circumradius of Hexagon

(Calculation completed in 00.020 seconds)

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< 9 Circumradius of Hexagon Calculators

Circumradius of Hexagon given Area of Equilateral Triangle

Go Circumradius of Hexagon = sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon)

Circumradius of Hexagon given Area

Go Circumradius of Hexagon = sqrt((2/(3*sqrt(3)))*Area of Hexagon)

Circumradius of Hexagon given Short Diagonal

Go Circumradius of Hexagon = Short Diagonal of Hexagon/(sqrt(3))

Circumradius of Hexagon given Inradius

Go Circumradius of Hexagon = 2*Inradius of Hexagon/sqrt(3)

Circumradius of Hexagon given Height

Go Circumradius of Hexagon = Height of Hexagon/(sqrt(3))

Circumradius of Hexagon given Long Diagonal

Go Circumradius of Hexagon = Long Diagonal of Hexagon/2

Circumradius of Hexagon

Go Circumradius of Hexagon = Edge Length of Hexagon/1

Circumradius of Hexagon given Perimeter

Go Circumradius of Hexagon = Perimeter of Hexagon/6

Circumradius of Hexagon given Width

Go Circumradius of Hexagon = Width of Hexagon/2

Circumradius of Hexagon given Area of Equilateral Triangle Formula

Circumradius of Hexagon = sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon)
r_c = sqrt(4/sqrt(3)*A_{Equilateral Triangle})

What is Hexagon?

A regular Hexagon is defined as a hexagon that is both equilateral and equiangular. Simply it is the six sided regular polygon. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed circle or circumcircle, which equals 2/sqrt(3) times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular Hexagon has six rotational symmetries.

How to Calculate Circumradius of Hexagon given Area of Equilateral Triangle?

Circumradius of Hexagon given Area of Equilateral Triangle calculator uses Circumradius of Hexagon = sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon) to calculate the Circumradius of Hexagon, The Circumradius of Hexagon given Area of Equilateral Triangle 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 the area of the equilateral triangle. Circumradius of Hexagon is denoted by r_c symbol.

How to calculate Circumradius of Hexagon given Area of Equilateral Triangle using this online calculator? To use this online calculator for Circumradius of Hexagon given Area of Equilateral Triangle, enter Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}) and hit the calculate button. Here is how the Circumradius of Hexagon given Area of Equilateral Triangle calculation can be explained with given input values -> 5.885662 = sqrt(4/sqrt(3)*15).

FAQ

What is Circumradius of Hexagon given Area of Equilateral Triangle?

The Circumradius of Hexagon given Area of Equilateral Triangle 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 the area of the equilateral triangle and is represented as r_c = sqrt(4/sqrt(3)*A_{Equilateral Triangle}) or Circumradius of Hexagon = sqrt(4/sqrt(3)*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.

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

The Circumradius of Hexagon given Area of Equilateral Triangle 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 the area of the equilateral triangle is calculated using Circumradius of Hexagon = sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon). To calculate Circumradius of Hexagon given Area of Equilateral Triangle, you need Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}). With our tool, you need to enter the respective value for Area of Equilateral Triangle of Hexagon 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 Circumradius of Hexagon?

In this formula, Circumradius of Hexagon uses Area of Equilateral Triangle of Hexagon. We can use 8 other way(s) to calculate the same, which is/are as follows -

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
Circumradius of Hexagon = Perimeter of Hexagon/6
Circumradius of Hexagon = Short Diagonal of Hexagon/(sqrt(3))
Circumradius of Hexagon = Width of Hexagon/2
Circumradius of Hexagon = Edge Length of Hexagon/1
Circumradius of Hexagon = 2*Inradius of Hexagon/sqrt(3)

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