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Area of Concave Regular Pentagon Formula

GoArea of Concave Regular Pentagon given Distance of Tips Formula

GoArea of Concave Regular Pentagon given Perimeter Formula

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The Area of Concave Regular Pentagon is the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon. Check FAQs

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

A - Area of Concave Regular Pentagon?l_e - Edge Length of Concave Regular Pentagon?

Area of Concave Regular Pentagon Example

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Here is how the Area of Concave Regular Pentagon equation looks like with Values.

Here is how the Area of Concave Regular Pentagon equation looks like with Units.

Here is how the Area of Concave Regular Pentagon equation looks like.

19.2355 = \frac{5^{2}}{4} \cdot (\sqrt{25 + 10 \cdot \sqrt{5}} - \sqrt{10 + 2 \cdot \sqrt{5}})

19.2355m² = \frac{{5m}^{2}}{4} \cdot (\sqrt{25 + 10 \cdot \sqrt{5}} - \sqrt{10 + 2 \cdot \sqrt{5}})

19.2355 = \frac{5^{2}}{4} \cdot (\sqrt{25 + 10 \cdot \sqrt{5}} - \sqrt{10 + 2 \cdot \sqrt{5}})

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Area of Concave Regular Pentagon Solution

Follow our step by step solution on how to calculate Area of Concave Regular Pentagon?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A = 19.2355221073453m²

LAST Step Rounding Answer

∴

A = 19.2355m²

Area of Concave Regular Pentagon Formula Elements

Variables

Functions

Area of Concave Regular Pentagon

The Area of Concave Regular Pentagon is the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Concave Regular Pentagon

Edge Length of Concave Regular Pentagon

The Edge Length of Concave Regular Pentagon is the length of any edge of the Concave Regular Pentagon shape.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Concave Regular 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 Concave Regular Pentagon

Go Area of Concave Regular Pentagon given Distance of Tips

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

Go Area of Concave Regular Pentagon given Perimeter

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

How to Evaluate Area of Concave Regular Pentagon?

Area of Concave Regular Pentagon evaluator uses Area of Concave Regular Pentagon = Edge Length of Concave Regular Pentagon^2/4*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))) to evaluate the Area of Concave Regular Pentagon, The Area of Concave Regular Pentagon formula is defined as the total quantity of plane enclosed by the boundary of the Concave Regular Pentagon. Area of Concave Regular Pentagon is denoted by A symbol.

How to evaluate Area of Concave Regular Pentagon using this online evaluator? To use this online evaluator for Area of Concave Regular Pentagon, enter Edge Length of Concave Regular Pentagon (l_e) and hit the calculate button.

FAQs on Area of Concave Regular Pentagon

What is the formula to find Area of Concave Regular Pentagon?

The formula of Area of Concave Regular Pentagon is expressed as Area of Concave Regular Pentagon = Edge Length of Concave Regular Pentagon^2/4*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))). Here is an example- 19.23552 = 5^2/4*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))).

How to calculate Area of Concave Regular Pentagon?

With Edge Length of Concave Regular Pentagon (l_e) we can find Area of Concave Regular Pentagon using the formula - Area of Concave Regular Pentagon = Edge Length of Concave Regular Pentagon^2/4*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Concave Regular Pentagon?

Here are the different ways to Calculate Area of Concave Regular Pentagon-

Area of Concave Regular Pentagon=(Distance of Tips of Concave Regular Pentagon/(1+sqrt(5)))^2*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))
Area of Concave Regular Pentagon=Perimeter of Concave Regular Pentagon^2/100*(sqrt(25+10*sqrt(5))-sqrt(10+2*sqrt(5)))

Can the Area of Concave Regular Pentagon be negative?

No, the Area of Concave Regular Pentagon, measured in Area cannot be negative.

Which unit is used to measure Area of Concave Regular Pentagon?

Area of Concave Regular Pentagon 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 Concave Regular Pentagon can be measured.

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