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Area of Pentagon given Width Formula

GoArea of Pentagon Formula

GoArea of Pentagon given Edge Length using Central Angle Formula

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

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

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

Area of Pentagon given Width Example

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

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

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

168.234 = 16^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{{(1 + \sqrt{5})}^{2}}

168.234m² = {16m}^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{{(1 + \sqrt{5})}^{2}}

168.234 = 16^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{{(1 + \sqrt{5})}^{2}}

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Area of Pentagon given Width Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = {16m}^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{{(1 + \sqrt{5})}^{2}}

Next Step Prepare to Evaluate

∴

A = 16^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{{(1 + \sqrt{5})}^{2}}

Next Step Evaluate

∴

A = 168.233955878123m²

LAST Step Rounding Answer

∴

A = 168.234m²

Area of Pentagon given Width Formula Elements

Variables

Functions

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

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

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 Area of Pentagon

Go Area of Pentagon

A = \frac{{l e}^{2}}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})}

Go Area of Pentagon given Edge Length using Central Angle

A = \frac{5 \cdot {l e}^{2}}{4 \cdot \tan (\frac{π}{5})}

Go Area of Pentagon given Circumradius using Interior Angle

A = \frac{5}{2} \cdot {r c}^{2} \cdot \sin (\frac{3}{5} \cdot π)

Go Area of Pentagon given Edge Length and Inradius

A = \frac{5}{2} \cdot l e \cdot r i

How to Evaluate Area of Pentagon given Width?

Area of Pentagon given Width evaluator uses Area of Pentagon = Width of Pentagon^2*sqrt(25+(10*sqrt(5)))/(1+sqrt(5))^2 to evaluate the Area of Pentagon, The Area of Pentagon given Width formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using width. Area of Pentagon is denoted by A symbol.

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

FAQs on Area of Pentagon given Width

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

The formula of Area of Pentagon given Width is expressed as Area of Pentagon = Width of Pentagon^2*sqrt(25+(10*sqrt(5)))/(1+sqrt(5))^2. Here is an example- 168.234 = 16^2*sqrt(25+(10*sqrt(5)))/(1+sqrt(5))^2.

How to calculate Area of Pentagon given Width?

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

What are the other ways to Calculate Area of Pentagon?

Here are the different ways to Calculate Area of Pentagon-

Area of Pentagon=Edge Length of Pentagon^2/4*sqrt(25+(10*sqrt(5)))
Area of Pentagon=(5*Edge Length of Pentagon^2)/(4*tan(pi/5))
Area of Pentagon=5/2*Circumradius of Pentagon^2*sin(3/5*pi)

Can the Area of Pentagon given Width be negative?

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

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

Area of Pentagon given Width is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Pentagon given Width can be measured.

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