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Diagonal of Decagon across Five Sides given Area Formula

GoDiagonal of Decagon across Five Sides Formula

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

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Diagonal across Five Sides of Decagon is a straight line joining two opposite sides which is across five sides of the Decagon. Check FAQs

d 5 = (1 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot A}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

d₅ - Diagonal across Five Sides of Decagon?A - Area of Decagon?

Diagonal of Decagon across Five Sides given Area Example

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

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

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

32.3729 = (1 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

32.3729m = (1 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 770m²}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

32.3729 = (1 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

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Diagonal of Decagon across Five Sides given Area Solution

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

FIRST Step Consider the formula

d 5 = (1 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot A}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

d 5 = (1 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 770m²}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

d 5 = (1 + \sqrt{5}) \cdot \sqrt{\frac{2 \cdot 770}{5 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

d 5 = 32.3728558500747m

LAST Step Rounding Answer

∴

d 5 = 32.3729m

Diagonal of Decagon across Five Sides given Area Formula Elements

Variables

Functions

Diagonal across Five Sides of Decagon

Diagonal across Five Sides of Decagon is a straight line joining two opposite sides which is across five sides of the Decagon.

Symbol: d₅

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Five 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 Five Sides of Decagon

Go Diagonal of Decagon across Five Sides

d 5 = (1 + \sqrt{5}) \cdot S

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

d 5 = (1 + \sqrt{5}) \cdot \frac{d 4}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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

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

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

d 5 = (1 + \sqrt{5}) \cdot \frac{2 \cdot d 2}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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

Diagonal of Decagon across Five Sides given Area evaluator uses Diagonal across Five Sides of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to evaluate the Diagonal across Five Sides of Decagon, The Diagonal of Decagon across Five Sides given Area formula is defined as the straight line joining two non-adjacent corners across the five sides of the Decagon, calculated using the area. Diagonal across Five Sides of Decagon is denoted by d₅ symbol.

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

FAQs on Diagonal of Decagon across Five Sides given Area

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

The formula of Diagonal of Decagon across Five Sides given Area is expressed as Diagonal across Five Sides of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). Here is an example- 32.37286 = (1+sqrt(5))*sqrt((2*770)/(5*sqrt(5+(2*sqrt(5))))).

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

With Area of Decagon (A) we can find Diagonal of Decagon across Five Sides given Area using the formula - Diagonal across Five Sides of Decagon = (1+sqrt(5))*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 Five Sides of Decagon?

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

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

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

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

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

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

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