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Area of Decagon given Circumradius Formula

GoArea of Decagon given Perimeter 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{2 \cdot r c}{1 + \sqrt{5}})}^{2}

A - Area of Decagon?r_c - Circumradius of Decagon?

Area of Decagon given Circumradius Example

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

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

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

752.3651 = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

752.3651m² = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16m}{1 + \sqrt{5}})}^{2}

752.3651 = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

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Area of Decagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16m}{1 + \sqrt{5}})}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{5}{2} \cdot \sqrt{5 + (2 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot 16}{1 + \sqrt{5}})}^{2}

Next Step Evaluate

∴

A = 752.365122934366m²

LAST Step Rounding Answer

∴

A = 752.3651m²

Area of Decagon given Circumradius 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

Circumradius of Decagon

Circumradius of Decagon is the radius of a circumcircle touching each of the Decagon's vertices.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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 Perimeter

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

Area of Decagon given Circumradius evaluator uses Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2 to evaluate the Area of Decagon, The Area of Decagon given Circumradius formula is defined as the measure of the total 2d space that the surface of the object occupies of the Decagon, calculated using its circumradius. Area of Decagon is denoted by A symbol.

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

FAQs on Area of Decagon given Circumradius

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

The formula of Area of Decagon given Circumradius is expressed as Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^2. Here is an example- 752.3651 = 5/2*sqrt(5+(2*sqrt(5)))*((2*16)/(1+sqrt(5)))^2.

How to calculate Area of Decagon given Circumradius?

With Circumradius of Decagon (r_c) we can find Area of Decagon given Circumradius using the formula - Area of Decagon = 5/2*sqrt(5+(2*sqrt(5)))*((2*Circumradius of Decagon)/(1+sqrt(5)))^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)))*(Perimeter of Decagon/10)^2
Area of Decagon=5/2*sqrt(5+(2*sqrt(5)))*Side of Decagon^2

Can the Area of Decagon given Circumradius be negative?

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

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

Area of Decagon given Circumradius 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 Circumradius can be measured.

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