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Width of Pentagon given Area Formula

GoWidth of Pentagon Formula

GoWidth of Pentagon given Circumradius Formula

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Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon. Check FAQs

w = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{4 \cdot \frac{A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

w - Width of Pentagon?A - Area of Pentagon?

Width of Pentagon given Area Example

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

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

Here is how the Width of Pentagon given Area equation looks like.

16.0838 = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{4 \cdot \frac{170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

16.0838m = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{4 \cdot \frac{170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

16.0838 = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{4 \cdot \frac{170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

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Width of Pentagon given Area Solution

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

FIRST Step Consider the formula

w = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{4 \cdot \frac{A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Substitute values of Variables

∴

w = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{4 \cdot \frac{170m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

w = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{4 \cdot \frac{170}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

w = 16.083761140737m

LAST Step Rounding Answer

∴

w = 16.0838m

Width of Pentagon given Area Formula Elements

Variables

Functions

Width of Pentagon

Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Pentagon

Area of Pentagon

The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagon

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 Pentagon

Go Width of Pentagon

w = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Width of Pentagon given Circumradius

w = \frac{1 + \sqrt{5}}{2} \cdot (r c \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}})

Go Width of Pentagon given Perimeter

w = P \cdot \frac{1 + \sqrt{5}}{10}

Go Width of Pentagon given Diagonal

w = d \cdot 1

How to Evaluate Width of Pentagon given Area?

Width of Pentagon given Area evaluator uses Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5))))) to evaluate the Width of Pentagon, Width of Pentagon given Area formula is defined as the distance between two opposite vertices of the regular Pentagon, calculated using Area. Width of Pentagon is denoted by w symbol.

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

FAQs on Width of Pentagon given Area

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

The formula of Width of Pentagon given Area is expressed as Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5))))). Here is an example- 16.08376 = (1+sqrt(5))/2*sqrt(4*170/(sqrt(25+(10*sqrt(5))))).

How to calculate Width of Pentagon given Area?

With Area of Pentagon (A) we can find Width of Pentagon given Area using the formula - Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Width of Pentagon?

Here are the different ways to Calculate Width of Pentagon-

Width of Pentagon=(1+sqrt(5))/2*Edge Length of Pentagon
Width of Pentagon=(1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))))
Width of Pentagon=Perimeter of Pentagon*(1+sqrt(5))/10

Can the Width of Pentagon given Area be negative?

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

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

Width of Pentagon 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 Pentagon given Area can be measured.

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