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Width of Decagon given Area Formula

GoWidth of Decagon Formula

GoWidth of Decagon given Diagonal across Five Sides Formula

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Width of Decagon is the measurement or extent of Decagon from side to side. Check FAQs

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

w - Width of Decagon?A - Area of Decagon?

Width of Decagon given Area Example

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Here is how the Width of Decagon given Area equation looks like with Values.

Here is how the Width of Decagon given Area equation looks like with Units.

Here is how the Width of Decagon 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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Width of Decagon given Area Solution

Follow our step by step solution on how to calculate Width of Decagon given Area?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

w = 32.3728558500747m

LAST Step Rounding Answer

∴

w = 32.3729m

Width of Decagon given Area Formula Elements

Variables

Functions

Width of Decagon

Width of Decagon is the measurement or extent of Decagon from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width 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 Width of Decagon

Go Width of Decagon

w = \frac{S}{\sin (\frac{π}{10})}

Go Width of Decagon given Diagonal across Five Sides

w = 1 \cdot d 5

How to Evaluate Width of Decagon given Area?

Width of Decagon given Area evaluator uses Width of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))) to evaluate the Width of Decagon, Width of Decagon given Area formula is defined as the measurement or extent of Decagon from side to side, calculated using area. Width of Decagon is denoted by w symbol.

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

FAQs on Width of Decagon given Area

What is the formula to find Width of Decagon given Area?

The formula of Width of Decagon given Area is expressed as Width 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 Width of Decagon given Area?

With Area of Decagon (A) we can find Width of Decagon given Area using the formula - Width of Decagon = (1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5))))). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Width of Decagon?

Here are the different ways to Calculate Width of Decagon-

Width of Decagon=Side of Decagon/sin(pi/10)
Width of Decagon=1*Diagonal across Five Sides of Decagon

Can the Width of Decagon given Area be negative?

No, the Width of Decagon given Area, measured in Length cannot be negative.

Which unit is used to measure Width of Decagon given Area?

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

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