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Height of Dodecagon given Circumradius Formula

GoHeight of Dodecagon given Diagonal across Two Sides Formula

GoHeight of Dodecagon given Diagonal across Three Sides Formula

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Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon. Check FAQs

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

h - Height of Dodecagon?r_c - Circumradius of Dodecagon?

Height of Dodecagon given Circumradius Example

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

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

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

38.637 = (2 + \sqrt{3}) \cdot \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

38.637m = (2 + \sqrt{3}) \cdot \frac{20m}{\frac{\sqrt{6} + \sqrt{2}}{2}}

38.637 = (2 + \sqrt{3}) \cdot \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

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Height of Dodecagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = (2 + \sqrt{3}) \cdot \frac{20m}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Next Step Prepare to Evaluate

∴

h = (2 + \sqrt{3}) \cdot \frac{20}{\frac{\sqrt{6} + \sqrt{2}}{2}}

Next Step Evaluate

∴

h = 38.6370330515627m

LAST Step Rounding Answer

∴

h = 38.637m

Height of Dodecagon given Circumradius Formula Elements

Variables

Functions

Height of Dodecagon

Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Dodecagon

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

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 Height of Dodecagon

Go Height of Dodecagon given Diagonal across Two Sides

h = (2 + \sqrt{3}) \cdot \frac{d 2}{\frac{\sqrt{2} + \sqrt{6}}{2}}

Go Height of Dodecagon given Diagonal across Three Sides

h = (2 + \sqrt{3}) \cdot \frac{d 3}{\sqrt{3} + 1}

Go Height of Dodecagon given Diagonal across Four Sides

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

Go Height of Dodecagon given Diagonal across Six Sides

h = (2 + \sqrt{3}) \cdot \frac{d 6}{\sqrt{6} + \sqrt{2}}

How to Evaluate Height of Dodecagon given Circumradius?

Height of Dodecagon given Circumradius evaluator uses Height of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2) to evaluate the Height of Dodecagon, The Height of Dodecagon given Circumradius formula is defined as the perpendicular distance between any pair of opposite edges of the Dodecagon, calculated using circumradius. Height of Dodecagon is denoted by h symbol.

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

FAQs on Height of Dodecagon given Circumradius

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

The formula of Height of Dodecagon given Circumradius is expressed as Height of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). Here is an example- 38.63703 = (2+sqrt(3))*20/((sqrt(6)+sqrt(2))/2).

How to calculate Height of Dodecagon given Circumradius?

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

What are the other ways to Calculate Height of Dodecagon?

Here are the different ways to Calculate Height of Dodecagon-

Height of Dodecagon=(2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Height of Dodecagon=(2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
Height of Dodecagon=(2+sqrt(3))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)

Can the Height of Dodecagon given Circumradius be negative?

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

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

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

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