FormulaDen.com

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

Diagonal of Dodecagon across Five Sides given Circumradius Formula

GoDiagonal of Dodecagon across Five Sides given Area Formula

GoDiagonal of Dodecagon across Five Sides given Perimeter Formula

Fx Copy

LaTeX Copy

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

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

d₅ - Diagonal Across Five Sides of Dodecagon?r_c - Circumradius of Dodecagon?

Diagonal of Dodecagon across Five Sides given Circumradius Example

With values

With units

Only example

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

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

Here is how the Diagonal of Dodecagon across Five Sides given Circumradius equation looks like.

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

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

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

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 Five Sides given Circumradius

Diagonal of Dodecagon across Five Sides given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d 5 = (2 + \sqrt{3}) \cdot \frac{2 \cdot 20m}{\sqrt{6} + \sqrt{2}}

Next Step Prepare to Evaluate

∴

d 5 = (2 + \sqrt{3}) \cdot \frac{2 \cdot 20}{\sqrt{6} + \sqrt{2}}

Next Step Evaluate

∴

d 5 = 38.6370330515627m

LAST Step Rounding Answer

∴

d 5 = 38.637m

Diagonal of Dodecagon across Five Sides given Circumradius Formula Elements

Variables

Functions

Diagonal Across Five Sides of Dodecagon

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

Symbol: d₅

Measurement: LengthUnit: m

Note: Value should be greater than 0.

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

Go Diagonal of Dodecagon across Five Sides given Area

d 5 = \sqrt{\frac{(2 + \sqrt{3}) \cdot A}{3}}

Go Diagonal of Dodecagon across Five Sides given Perimeter

d 5 = (2 + \sqrt{3}) \cdot \frac{P}{12}

Go Diagonal of Dodecagon across Five Sides given Inradius

d 5 = 2 \cdot r i

Go Diagonal of Dodecagon across Five Sides given Diagonal across Six Sides

d 5 = (2 + \sqrt{3}) \cdot \frac{d 6}{\sqrt{6} + \sqrt{2}}

How to Evaluate Diagonal of Dodecagon across Five Sides given Circumradius?

Diagonal of Dodecagon across Five Sides given Circumradius evaluator uses Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*(2*Circumradius of Dodecagon)/(sqrt(6)+sqrt(2)) to evaluate the Diagonal Across Five Sides of Dodecagon, Diagonal of Dodecagon across Five Sides given Circumradius formula is defined as the line connecting two non-adjacent vertices across five sides of the Dodecagon, calculated using circumradius. Diagonal Across Five Sides of Dodecagon is denoted by d₅ symbol.

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

FAQs on Diagonal of Dodecagon across Five Sides given Circumradius

What is the formula to find Diagonal of Dodecagon across Five Sides given Circumradius?

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

How to calculate Diagonal of Dodecagon across Five Sides given Circumradius?

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

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

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

Diagonal Across Five Sides of Dodecagon=sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Diagonal Across Five Sides of Dodecagon=(2+sqrt(3))*Perimeter of Dodecagon/12
Diagonal Across Five Sides of Dodecagon=2*Inradius of Dodecagon

Can the Diagonal of Dodecagon across Five Sides given Circumradius be negative?

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

Which unit is used to measure Diagonal of Dodecagon across Five Sides given Circumradius?

Diagonal of Dodecagon across Five Sides given Circumradius 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 Five Sides given Circumradius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit