Circumradius of Hexagon given Area Calculator

✖The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon.ⓘ Area of Hexagon [A]

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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 [r_c]

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Circumradius of Hexagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hexagon = sqrt((2/(3*sqrt(3)))*Area of Hexagon)
r_c = sqrt((2/(3*sqrt(3)))*A)
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 Hexagon - (Measured in Square Meter) - The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Area of Hexagon: 95 Square Meter --> 95 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt((2/(3*sqrt(3)))*A) --> sqrt((2/(3*sqrt(3)))*95)

Evaluating ... ...

r_c = 6.04694278529872

STEP 3: Convert Result to Output's Unit

6.04694278529872 Meter --> No Conversion Required

FINAL ANSWER

6.04694278529872 ≈ 6.046943 Meter <-- Circumradius of Hexagon

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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< Circumradius of Hexagon Calculators

Circumradius of Hexagon given Area

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

Circumradius of Hexagon given Height

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

Circumradius of Hexagon given Long Diagonal

LaTeX Go Circumradius of Hexagon = Long Diagonal of Hexagon/2

Circumradius of Hexagon given Perimeter

LaTeX Go Circumradius of Hexagon = Perimeter of Hexagon/6

Circumradius of Hexagon given Area Formula

LaTeX Go

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

What is a 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?

Circumradius of Hexagon given Area calculator uses Circumradius of Hexagon = sqrt((2/(3*sqrt(3)))*Area of Hexagon) to calculate the Circumradius of Hexagon, The Circumradius of Hexagon given Area 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 Hexagon. Circumradius of Hexagon is denoted by r_c symbol.

How to calculate Circumradius of Hexagon given Area using this online calculator? To use this online calculator for Circumradius of Hexagon given Area, enter Area of Hexagon (A) and hit the calculate button. Here is how the Circumradius of Hexagon given Area calculation can be explained with given input values -> 6.046943 = sqrt((2/(3*sqrt(3)))*95).

FAQ

What is Circumradius of Hexagon given Area?

The Circumradius of Hexagon given Area 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 Hexagon and is represented as r_c = sqrt((2/(3*sqrt(3)))*A) or Circumradius of Hexagon = sqrt((2/(3*sqrt(3)))*Area of Hexagon). The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon.

How to calculate Circumradius of Hexagon given Area?

The Circumradius of Hexagon given Area 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 Hexagon is calculated using Circumradius of Hexagon = sqrt((2/(3*sqrt(3)))*Area of Hexagon). To calculate Circumradius of Hexagon given Area, you need Area of Hexagon (A). With our tool, you need to enter the respective value for Area 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 Hexagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumradius of Hexagon = Height of Hexagon/(sqrt(3))
Circumradius of Hexagon = Long Diagonal of Hexagon/2
Circumradius of Hexagon = Perimeter of Hexagon/6

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