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Area of Decagon Formula

GoArea of Decagon given Circumradius Formula

GoArea of Decagon given Perimeter Formula

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Area of Decagon is the amount of 2-dimensional space occupied by the Decagon. Check FAQs

A = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot S^{2}

A - Area of Decagon?S - Side of Decagon?

Area of Decagon Example

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

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

Here is how the Area of Decagon equation looks like.

769.4209 = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot 10^{2}

769.4209m² = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {10m}^{2}

769.4209 = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot 10^{2}

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Area of Decagon Solution

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

FIRST Step Consider the formula

A = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot S^{2}

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A = 769.420884293813m²

LAST Step Rounding Answer

∴

A = 769.4209m²

Area of Decagon Formula Elements

Variables

Functions

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

Side of Decagon

Side of Decagon is defined as a line connecting two adjacent vertices of the Decagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side 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 Area of Decagon

Go Area of Decagon given Circumradius

A = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot r c}{1 + \sqrt{5}})}^{2}

Go Area of Decagon given Perimeter

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

How to Evaluate Area of Decagon?

Area of Decagon evaluator uses Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2 to evaluate the Area of Decagon, Area of Decagon is defined as the measure of the total 2d space that the surface of the object occupies of a Decagon. Area of Decagon is denoted by A symbol.

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

FAQs on Area of Decagon

What is the formula to find Area of Decagon?

The formula of Area of Decagon is expressed as Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2. Here is an example- 769.4209 = 5/2*sqrt(5+(2*sqrt(5)))*10^2.

How to calculate Area of Decagon?

With Side of Decagon (S) we can find Area of Decagon using the formula - Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Decagon?

Here are the different ways to Calculate Area of Decagon-

Area of Decagon=5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2
Area of Decagon=5/2*sqrt(5+(2*sqrt(5)))*(Perimeter of Decagon/10)^2

Can the Area of Decagon be negative?

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

Which unit is used to measure Area of Decagon?

Area of Decagon 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 Decagon can be measured.

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