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Area of Pentagon given Edge Length and Inradius Formula

GoArea of Pentagon Formula

GoArea of Pentagon given Edge Length using Central Angle Formula

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The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon. Check FAQs

A = \frac{5}{2} \cdot l e \cdot r i

A - Area of Pentagon?l_e - Edge Length of Pentagon?r_i - Inradius of Pentagon?

Area of Pentagon given Edge Length and Inradius Example

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Here is how the Area of Pentagon given Edge Length and Inradius equation looks like with Values.

Here is how the Area of Pentagon given Edge Length and Inradius equation looks like with Units.

Here is how the Area of Pentagon given Edge Length and Inradius equation looks like.

175 = \frac{5}{2} \cdot 10 \cdot 7

175m² = \frac{5}{2} \cdot 10m \cdot 7m

175 = \frac{5}{2} \cdot 10 \cdot 7

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Area of Pentagon given Edge Length and Inradius Solution

Follow our step by step solution on how to calculate Area of Pentagon given Edge Length and Inradius?

FIRST Step Consider the formula

A = \frac{5}{2} \cdot l e \cdot r i

Next Step Substitute values of Variables

∴

A = \frac{5}{2} \cdot 10m \cdot 7m

Next Step Prepare to Evaluate

∴

A = \frac{5}{2} \cdot 10 \cdot 7

LAST Step Evaluate

∴

A = 175m²

Area of Pentagon given Edge Length and Inradius Formula Elements

Variables

Area of Pentagon

The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagon

Edge Length of Pentagon

The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Pentagon

Inradius of Pentagon

The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Pentagon

Other Formulas to find Area of Pentagon

Go Area of Pentagon

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

Go Area of Pentagon given Edge Length using Central Angle

A = \frac{5 \cdot {l e}^{2}}{4 \cdot \tan (\frac{π}{5})}

Go Area of Pentagon given Edge Length using Interior Angle

A = \frac{5 \cdot {l e}^{2} \cdot {(\frac{1}{2} - \cos (\frac{3}{5} \cdot π))}^{2}}{2 \cdot \sin (\frac{3}{5} \cdot π)}

How to Evaluate Area of Pentagon given Edge Length and Inradius?

Area of Pentagon given Edge Length and Inradius evaluator uses Area of Pentagon = 5/2*Edge Length of Pentagon*Inradius of Pentagon to evaluate the Area of Pentagon, Area of Pentagon given Edge Length and Inradius is defined as the 2-dimensional space occupied by a Pentagon, calculated using edge length and inradius. Area of Pentagon is denoted by A symbol.

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

FAQs on Area of Pentagon given Edge Length and Inradius

What is the formula to find Area of Pentagon given Edge Length and Inradius?

The formula of Area of Pentagon given Edge Length and Inradius is expressed as Area of Pentagon = 5/2*Edge Length of Pentagon*Inradius of Pentagon. Here is an example- 175 = 5/2*10*7.

How to calculate Area of Pentagon given Edge Length and Inradius?

With Edge Length of Pentagon (l_e) & Inradius of Pentagon (r_i) we can find Area of Pentagon given Edge Length and Inradius using the formula - Area of Pentagon = 5/2*Edge Length of Pentagon*Inradius of Pentagon.

What are the other ways to Calculate Area of Pentagon?

Here are the different ways to Calculate Area of Pentagon-

Area of Pentagon=Edge Length of Pentagon^2/4*sqrt(25+(10*sqrt(5)))
Area of Pentagon=(5*Edge Length of Pentagon^2)/(4*tan(pi/5))
Area of Pentagon=(5*Edge Length of Pentagon^2*(1/2-cos(3/5*pi))^2)/(2*sin(3/5*pi))

Can the Area of Pentagon given Edge Length and Inradius be negative?

No, the Area of Pentagon given Edge Length and Inradius, measured in Area cannot be negative.

Which unit is used to measure Area of Pentagon given Edge Length and Inradius?

Area of Pentagon given Edge Length and Inradius 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 Pentagon given Edge Length and Inradius can be measured.

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Area of Pentagon given Edge Length and Inradius Formula

​GoArea of Pentagon Formula

​GoArea of Pentagon given Edge Length using Central Angle Formula

Area of Pentagon given Edge Length and Inradius Example

Area of Pentagon given Edge Length and Inradius Solution

Area of Pentagon given Edge Length and Inradius Formula Elements

Other Formulas to find Area of Pentagon

How to Evaluate Area of Pentagon given Edge Length and Inradius?

FAQs on Area of Pentagon given Edge Length and Inradius

Variable Name

GoArea of Pentagon Formula

GoArea of Pentagon given Edge Length using Central Angle Formula