FormulaDen.com

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

Diagonal of Dodecagon across Three Sides given Area Formula

GoDiagonal of Dodecagon across Three Sides Formula

GoDiagonal of Dodecagon across Three Sides given Circumradius Formula

Fx Copy

LaTeX Copy

Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon. Check FAQs

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

d₃ - Diagonal Across Three Sides of Dodecagon?A - Area of Dodecagon?

Diagonal of Dodecagon across Three Sides given Area Example

With values

With units

Only example

Here is how the Diagonal of Dodecagon across Three Sides given Area equation looks like with Values.

Here is how the Diagonal of Dodecagon across Three Sides given Area equation looks like with Units.

Here is how the Diagonal of Dodecagon across Three Sides given Area equation looks like.

27.3252 = (\sqrt{3} + 1) \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

27.3252m = (\sqrt{3} + 1) \cdot \sqrt{\frac{1120m²}{3 \cdot (2 + \sqrt{3})}}

27.3252 = (\sqrt{3} + 1) \cdot \sqrt{\frac{1120}{3 \cdot (2 + \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 Diagonal of Dodecagon across Three Sides given Area

Diagonal of Dodecagon across Three Sides given Area Solution

Follow our step by step solution on how to calculate Diagonal of Dodecagon across Three Sides given Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 3 = (\sqrt{3} + 1) \cdot \sqrt{\frac{1120m²}{3 \cdot (2 + \sqrt{3})}}

Next Step Prepare to Evaluate

∴

d 3 = (\sqrt{3} + 1) \cdot \sqrt{\frac{1120}{3 \cdot (2 + \sqrt{3})}}

Next Step Evaluate

∴

d 3 = 27.3252020425589m

LAST Step Rounding Answer

∴

d 3 = 27.3252m

Diagonal of Dodecagon across Three Sides given Area Formula Elements

Variables

Functions

Diagonal Across Three Sides of Dodecagon

Diagonal across Three Sides of Dodecagon is a straight line joining two non-adjacent vertices across three sides of the Dodecagon.

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal Across Three Sides 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 Diagonal Across Three Sides of Dodecagon

Go Diagonal of Dodecagon across Three Sides

d 3 = (\sqrt{3} + 1) \cdot S

Go Diagonal of Dodecagon across Three Sides given Circumradius

d 3 = \sqrt{2} \cdot r c

Go Diagonal of Dodecagon across Three Sides given Inradius

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

Go Diagonal of Dodecagon across Three Sides given Perimeter

d 3 = (\sqrt{3} + 1) \cdot \frac{P}{12}

How to Evaluate Diagonal of Dodecagon across Three Sides given Area?

Diagonal of Dodecagon across Three Sides given Area evaluator uses Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))) to evaluate the Diagonal Across Three Sides of Dodecagon, The Diagonal of Dodecagon across Three Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across three sides of the Dodecagon, calculated using the area. Diagonal Across Three Sides of Dodecagon is denoted by d₃ symbol.

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

FAQs on Diagonal of Dodecagon across Three Sides given Area

What is the formula to find Diagonal of Dodecagon across Three Sides given Area?

The formula of Diagonal of Dodecagon across Three Sides given Area is expressed as Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). Here is an example- 27.3252 = (sqrt(3)+1)*sqrt(1120/(3*(2+sqrt(3)))).

How to calculate Diagonal of Dodecagon across Three Sides given Area?

With Area of Dodecagon (A) we can find Diagonal of Dodecagon across Three Sides given Area using the formula - Diagonal Across Three Sides of Dodecagon = (sqrt(3)+1)*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal Across Three Sides of Dodecagon?

Here are the different ways to Calculate Diagonal Across Three Sides of Dodecagon-

Diagonal Across Three Sides of Dodecagon=(sqrt(3)+1)*Side of Dodecagon
Diagonal Across Three Sides of Dodecagon=sqrt(2)*Circumradius of Dodecagon
Diagonal Across Three Sides of Dodecagon=(sqrt(3)+1)*Inradius of Dodecagon/((2+sqrt(3))/2)

Can the Diagonal of Dodecagon across Three Sides given Area be negative?

No, the Diagonal of Dodecagon across Three Sides given Area, measured in Length cannot be negative.

Which unit is used to measure Diagonal of Dodecagon across Three Sides given Area?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit