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Area of Pentagon given Perimeter 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 = P^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{100}

A - Area of Pentagon?P - Perimeter of Pentagon?

Area of Pentagon given Perimeter Example

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

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

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

172.0477 = 50^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{100}

172.0477m² = {50m}^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{100}

172.0477 = 50^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{100}

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Area of Pentagon given Perimeter Solution

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

FIRST Step Consider the formula

A = P^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{100}

Next Step Substitute values of Variables

∴

A = {50m}^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{100}

Next Step Prepare to Evaluate

∴

A = 50^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{100}

Next Step Evaluate

∴

A = 172.047740058897m²

LAST Step Rounding Answer

∴

A = 172.0477m²

Area of Pentagon given Perimeter 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

Perimeter of Pentagon

The Perimeter of Pentagon is the total distance around the edge of the Pentagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter?

Area of Pentagon given Perimeter evaluator uses Area of Pentagon = Perimeter of Pentagon^2*sqrt(25+(10*sqrt(5)))/100 to evaluate the Area of Pentagon, Area of Pentagon given Perimeter formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using perimeter. Area of Pentagon is denoted by A symbol.

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

FAQs on Area of Pentagon given Perimeter

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

The formula of Area of Pentagon given Perimeter is expressed as Area of Pentagon = Perimeter of Pentagon^2*sqrt(25+(10*sqrt(5)))/100. Here is an example- 172.0477 = 50^2*sqrt(25+(10*sqrt(5)))/100.

How to calculate Area of Pentagon given Perimeter?

With Perimeter of Pentagon (P) we can find Area of Pentagon given Perimeter using the formula - Area of Pentagon = Perimeter of Pentagon^2*sqrt(25+(10*sqrt(5)))/100. 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 Perimeter be negative?

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

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

Area of Pentagon given Perimeter 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 Perimeter can be measured.

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