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Diagonal of Decagon across Three Sides given Area Formula

GoDiagonal of Decagon across Three Sides Formula

GoDiagonal of Decagon across Three Sides given Diagonal across Five Sides Formula

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

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot A}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

d₃ - Diagonal across Three Sides of Decagon?A - Area of Decagon?

Diagonal of Decagon across Three Sides given Area Example

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

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

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

26.1902 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

26.1902m = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot 770m²}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

26.1902 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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Diagonal of Decagon across Three Sides given Area Solution

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

FIRST Step Consider the formula

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot A}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot 770m²}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

d 3 = 26.1901905391608m

LAST Step Rounding Answer

∴

d 3 = 26.1902m

Diagonal of Decagon across Three Sides given Area Formula Elements

Variables

Functions

Diagonal across Three Sides of Decagon

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

Symbol: d₃

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Three Sides of Decagon

Area of Decagon

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

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Decagon

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 Decagon

Go Diagonal of Decagon across Three Sides

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot S

Go Diagonal of Decagon across Three Sides given Diagonal across Five Sides

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{d 5}{1 + \sqrt{5}}

Go Diagonal of Decagon across Three Sides given Diagonal across Four Sides

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Go Diagonal of Decagon across Three Sides given Diagonal across Two Sides

d 3 = \frac{\sqrt{14 + (6 \cdot \sqrt{5})}}{2} \cdot \frac{2 \cdot d 2}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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

Diagonal of Decagon across Three Sides given Area evaluator uses Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to evaluate the Diagonal across Three Sides of Decagon, The Diagonal of Decagon across Three Sides given Area formula is defined as the straight line joining two non-adjacent vertices across the three sides of the Decagon, calculated using the area. Diagonal across Three Sides of Decagon is denoted by d₃ symbol.

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

FAQs on Diagonal of Decagon across Three Sides given Area

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

The formula of Diagonal of Decagon across Three Sides given Area is expressed as Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). Here is an example- 26.19019 = sqrt(14+(6*sqrt(5)))/2*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

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

With Area of Decagon (A) we can find Diagonal of Decagon across Three Sides given Area using the formula - Diagonal across Three Sides of Decagon = sqrt(14+(6*sqrt(5)))/2*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Diagonal across Three Sides of Decagon?

Here are the different ways to Calculate Diagonal across Three Sides of Decagon-

Diagonal across Three Sides of Decagon=sqrt(14+(6*sqrt(5)))/2*Side of Decagon
Diagonal across Three Sides of Decagon=sqrt(14+(6*sqrt(5)))/2*Diagonal across Five Sides of Decagon/(1+sqrt(5))
Diagonal across Three Sides of Decagon=sqrt(14+(6*sqrt(5)))/2*Diagonal across Four Sides of Decagon/sqrt(5+(2*sqrt(5)))

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

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

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

Diagonal of Decagon 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 Decagon across Three Sides given Area can be measured.

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