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Area of Pentagon given Height 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 = h^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{5 + (2 \cdot \sqrt{5})}

A - Area of Pentagon?h - Height of Pentagon?

Area of Pentagon given Height Example

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Here is how the Area of Pentagon given Height equation looks like with Values.

Here is how the Area of Pentagon given Height equation looks like with Units.

Here is how the Area of Pentagon given Height equation looks like.

163.4721 = 15^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{5 + (2 \cdot \sqrt{5})}

163.4721m² = {15m}^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{5 + (2 \cdot \sqrt{5})}

163.4721 = 15^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{5 + (2 \cdot \sqrt{5})}

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Area of Pentagon given Height Solution

Follow our step by step solution on how to calculate Area of Pentagon given Height?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = {15m}^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{5 + (2 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

A = 15^{2} \cdot \frac{\sqrt{25 + (10 \cdot \sqrt{5})}}{5 + (2 \cdot \sqrt{5})}

Next Step Evaluate

∴

A = 163.472068801206m²

LAST Step Rounding Answer

∴

A = 163.4721m²

Area of Pentagon given Height Formula Elements

Variables

Functions

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

Height of Pentagon

Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagon

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 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 Circumradius using Interior Angle

A = \frac{5}{2} \cdot {r c}^{2} \cdot \sin (\frac{3}{5} \cdot π)

Go Area of Pentagon given Edge Length and Inradius

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

How to Evaluate Area of Pentagon given Height?

Area of Pentagon given Height evaluator uses Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))) to evaluate the Area of Pentagon, The Area of Pentagon given Height formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using height. Area of Pentagon is denoted by A symbol.

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

FAQs on Area of Pentagon given Height

What is the formula to find Area of Pentagon given Height?

The formula of Area of Pentagon given Height is expressed as Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))). Here is an example- 163.4721 = 15^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))).

How to calculate Area of Pentagon given Height?

With Height of Pentagon (h) we can find Area of Pentagon given Height using the formula - Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))). This formula also uses Square Root Function function(s).

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=5/2*Circumradius of Pentagon^2*sin(3/5*pi)

Can the Area of Pentagon given Height be negative?

No, the Area of Pentagon given Height, measured in Area cannot be negative.

Which unit is used to measure Area of Pentagon given Height?

Area of Pentagon given Height 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 Height can be measured.

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