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Area of Decagon given Perimeter Formula

GoArea of Decagon given Circumradius Formula

GoArea of Decagon 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 {(\frac{P}{10})}^{2}

A - Area of Decagon?P - Perimeter of Decagon?

Area of Decagon given Perimeter Example

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

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

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

769.4209 = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{100}{10})}^{2}

769.4209m² = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{100m}{10})}^{2}

769.4209 = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{100}{10})}^{2}

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Area of Decagon given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A = 769.420884293813m²

LAST Step Rounding Answer

∴

A = 769.4209m²

Area of Decagon given Perimeter 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

Perimeter of Decagon

Perimeter of Decagon is the total distance around the edge of the Decagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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

How to Evaluate Area of Decagon given Perimeter?

Area of Decagon given Perimeter evaluator uses Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Perimeter of Decagon/10)^2 to evaluate the Area of Decagon, The Area of Decagon given Perimeter formula is defined as the measure of the total 2d space that the surface of the object occupies of a Decagon, calculated using its perimeter. Area of Decagon is denoted by A symbol.

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

FAQs on Area of Decagon given Perimeter

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

The formula of Area of Decagon given Perimeter is expressed as Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Perimeter of Decagon/10)^2. Here is an example- 769.4209 = 5/2*sqrt(5+(2*sqrt(5)))*(100/10)^2.

How to calculate Area of Decagon given Perimeter?

With Perimeter of Decagon (P) we can find Area of Decagon given Perimeter using the formula - Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*(Perimeter of Decagon/10)^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)))*Side of Decagon^2

Can the Area of Decagon given Perimeter be negative?

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

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

Area of Decagon 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 Decagon given Perimeter can be measured.

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