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Circumradius of Dodecagon given Area Formula

GoCircumradius of Dodecagon Formula

GoCircumradius of Dodecagon given Diagonal across Six Sides Formula

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Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon. Check FAQs

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \sqrt{\frac{A}{3 \cdot (2 + \sqrt{3})}}

r_c - Circumradius of Dodecagon?A - Area of Dodecagon?

Circumradius of Dodecagon given Area Example

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Here is how the Circumradius of Dodecagon given Area equation looks like with Values.

Here is how the Circumradius of Dodecagon given Area equation looks like with Units.

Here is how the Circumradius of Dodecagon given Area equation looks like.

19.3218 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

19.3218m = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \sqrt{\frac{1120m²}{3 \cdot (2 + \sqrt{3})}}

19.3218 = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

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Circumradius of Dodecagon given Area Solution

Follow our step by step solution on how to calculate Circumradius of Dodecagon given Area?

FIRST Step Consider the formula

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \sqrt{\frac{A}{3 \cdot (2 + \sqrt{3})}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \sqrt{\frac{1120m²}{3 \cdot (2 + \sqrt{3})}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

Next Step Evaluate

∴

r c = 19.3218356615859m

LAST Step Rounding Answer

∴

r c = 19.3218m

Circumradius of Dodecagon given Area Formula Elements

Variables

Functions

Circumradius of Dodecagon

Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Dodecagon

Area of Dodecagon

Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Dodecagon

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 Dodecagon

Go Circumradius of Dodecagon

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot S

Go Circumradius of Dodecagon given Diagonal across Six Sides

r c = \frac{d 6}{2}

Go Circumradius of Dodecagon given Diagonal across Five Sides

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{d 5}{2 + \sqrt{3}}

Go Circumradius of Dodecagon given Diagonal across Four Sides

r c = \frac{\sqrt{6} + \sqrt{2}}{2} \cdot \frac{d 4}{\frac{(3 \cdot \sqrt{2}) + \sqrt{6}}{2}}

How to Evaluate Circumradius of Dodecagon given Area?

Circumradius of Dodecagon given Area evaluator uses Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))) to evaluate the Circumradius of Dodecagon, The Circumradius of Dodecagon given Area formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, calculated using area. Circumradius of Dodecagon is denoted by r_c symbol.

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

FAQs on Circumradius of Dodecagon given Area

What is the formula to find Circumradius of Dodecagon given Area?

The formula of Circumradius of Dodecagon given Area is expressed as Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). Here is an example- 19.32184 = (sqrt(6)+sqrt(2))/2*sqrt(1120/(3*(2+sqrt(3)))).

How to calculate Circumradius of Dodecagon given Area?

With Area of Dodecagon (A) we can find Circumradius of Dodecagon given Area using the formula - Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumradius of Dodecagon?

Here are the different ways to Calculate Circumradius of Dodecagon-

Circumradius of Dodecagon=(sqrt(6)+sqrt(2))/2*Side of Dodecagon
Circumradius of Dodecagon=Diagonal Across Six Sides of Dodecagon/2
Circumradius of Dodecagon=(sqrt(6)+sqrt(2))/2*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))

Can the Circumradius of Dodecagon given Area be negative?

No, the Circumradius of Dodecagon given Area, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Dodecagon given Area?

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

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