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Area of Decagon given Diagonal across Four Sides Formula

GoArea of Decagon Formula

GoArea of Decagon given Diagonal across Five Sides 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 \frac{{(d 4)}^{2}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

A - Area of Decagon?d₄ - Diagonal across Four Sides of Decagon?

Area of Decagon given Diagonal across Four Sides Example

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Here is how the Area of Decagon given Diagonal across Four Sides equation looks like with Values.

Here is how the Area of Decagon given Diagonal across Four Sides equation looks like with Units.

Here is how the Area of Decagon given Diagonal across Four Sides equation looks like.

780.6196 = \frac{5}{2} \cdot \frac{{(31)}^{2}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

780.6196m² = \frac{5}{2} \cdot \frac{{(31m)}^{2}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

780.6196 = \frac{5}{2} \cdot \frac{{(31)}^{2}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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2D Geometry » fx Area of Decagon given Diagonal across Four Sides

Area of Decagon given Diagonal across Four Sides Solution

Follow our step by step solution on how to calculate Area of Decagon given Diagonal across Four Sides?

FIRST Step Consider the formula

A = \frac{5}{2} \cdot \frac{{(d 4)}^{2}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

A = \frac{5}{2} \cdot \frac{{(31m)}^{2}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

A = \frac{5}{2} \cdot \frac{{(31)}^{2}}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

A = 780.619570199557m²

LAST Step Rounding Answer

∴

A = 780.6196m²

Area of Decagon given Diagonal across Four Sides 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

Diagonal across Four Sides of Decagon

Diagonal across Four Sides of Decagon is a straight line joining two non-adjacent sides which is across four sides of the Decagon.

Symbol: d₄

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diagonal across Four Sides 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

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

Go Area of Decagon given Diagonal across Five Sides

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

Go Area of Decagon given Diagonal across Three Sides

A = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot d 3}{\sqrt{14 + (6 \cdot \sqrt{5})}})}^{2}

Go Area of Decagon given Diagonal across Two Sides

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

How to Evaluate Area of Decagon given Diagonal across Four Sides?

Area of Decagon given Diagonal across Four Sides evaluator uses Area of Decagon = 5/2*(Diagonal across Four Sides of Decagon)^2/sqrt(5+(2*sqrt(5))) to evaluate the Area of Decagon, The Area of Decagon given Diagonal across Four Sides formula is defined as the measure of the total 2d space that the surface of the object occupies of a Decagon, calculated using a diagonal across four sides. Area of Decagon is denoted by A symbol.

How to evaluate Area of Decagon given Diagonal across Four Sides using this online evaluator? To use this online evaluator for Area of Decagon given Diagonal across Four Sides, enter Diagonal across Four Sides of Decagon (d₄) and hit the calculate button.

FAQs on Area of Decagon given Diagonal across Four Sides

What is the formula to find Area of Decagon given Diagonal across Four Sides?

The formula of Area of Decagon given Diagonal across Four Sides is expressed as Area of Decagon = 5/2*(Diagonal across Four Sides of Decagon)^2/sqrt(5+(2*sqrt(5))). Here is an example- 780.6196 = 5/2*(31)^2/sqrt(5+(2*sqrt(5))).

How to calculate Area of Decagon given Diagonal across Four Sides?

With Diagonal across Four Sides of Decagon (d₄) we can find Area of Decagon given Diagonal across Four Sides using the formula - Area of Decagon = 5/2*(Diagonal across Four Sides of Decagon)^2/sqrt(5+(2*sqrt(5))). 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)))*Side of Decagon^2
Area of Decagon=5/2*sqrt(5+(2*sqrt(5)))*(Diagonal across Five Sides of Decagon/(1+sqrt(5)))^2
Area of Decagon=5/2*sqrt(5+(2*sqrt(5)))*((2*Diagonal across Three Sides of Decagon)/sqrt(14+(6*sqrt(5))))^2

Can the Area of Decagon given Diagonal across Four Sides be negative?

No, the Area of Decagon given Diagonal across Four Sides, measured in Area cannot be negative.

Which unit is used to measure Area of Decagon given Diagonal across Four Sides?

Area of Decagon given Diagonal across Four Sides 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 given Diagonal across Four Sides can be measured.

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