Area of Pentagon given Height Calculator

Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5)))
A = h^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5)))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Area of Pentagon - (Measured in Square Meter) - The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.
Height of Pentagon - (Measured in Meter) - Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.

STEP 1: Convert Input(s) to Base Unit

Height of Pentagon: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = h^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))) --> 15^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5)))

Evaluating ... ...

A = 163.472068801206

STEP 3: Convert Result to Output's Unit

163.472068801206 Square Meter --> No Conversion Required

FINAL ANSWER

163.472068801206 ≈ 163.4721 Square Meter <-- Area of Pentagon

(Calculation completed in 00.004 seconds)

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Credits

Created by Divanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

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Verified by Nayana Phulphagar

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< 16 Area of Pentagon Calculators

Area of Pentagon given Height using Interior Angle

Go Area of Pentagon = (5*((Height of Pentagon*sin(3/5*pi))/((3/2-cos(3/5*pi))*(1/2-cos(3/5*pi))))^2)/(4*tan(pi/5))

Area of Pentagon given Height using Central Angle

Go Area of Pentagon = (5*((2*Height of Pentagon*sin(pi/5))/(1+cos(pi/5)))^2)/(4*tan(pi/5))

Area of Pentagon given Edge Length using Interior Angle

Go Area of Pentagon = (5*Edge Length of Pentagon^2*(1/2-cos(3/5*pi))^2)/(2*sin(3/5*pi))

Area of Pentagon given Inradius using Interior Angle

Go Area of Pentagon = 5/2*Inradius of Pentagon^2*sin(3/5*pi)/(1/2-cos(3/5*pi))^2

Area of Pentagon given Circumradius using Central Angle

Go Area of Pentagon = (5*(Circumradius of Pentagon*sin(pi/5))^2)/tan(pi/5)

Area of Pentagon given Circumradius

Go Area of Pentagon = Circumradius of Pentagon^2*25*sqrt(25+(10*sqrt(5)))/(50+(10*sqrt(5)))

Area of Pentagon given Diagonal

Go Area of Pentagon = Diagonal of Pentagon^2*sqrt(25+(10*sqrt(5)))/(1+sqrt(5))^2

Area of Pentagon given Height

Go Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5)))

Area of Pentagon given Width

Go Area of Pentagon = Width of Pentagon^2*sqrt(25+(10*sqrt(5)))/(1+sqrt(5))^2

Area of Pentagon given Perimeter

Go Area of Pentagon = Perimeter of Pentagon^2*sqrt(25+(10*sqrt(5)))/100

Area of Pentagon

Go Area of Pentagon = Edge Length of Pentagon^2/4*sqrt(25+(10*sqrt(5)))

Area of Pentagon given Inradius

Go Area of Pentagon = 25*Inradius of Pentagon^2/sqrt(25+(10*sqrt(5)))

Area of Pentagon given Edge Length using Central Angle

Go Area of Pentagon = (5*Edge Length of Pentagon^2)/(4*tan(pi/5))

Area of Pentagon given Circumradius using Interior Angle

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

Area of Pentagon given Inradius using Central Angle

Go Area of Pentagon = 5*Inradius of Pentagon^2*tan(pi/5)

Area of Pentagon given Edge Length and Inradius

Go Area of Pentagon = 5/2*Edge Length of Pentagon*Inradius of Pentagon

Area of Pentagon given Height Formula

Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5)))
A = h^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5)))

What is Pentagon?

A Pentagon shape is a flat shape or a flat (two-dimensional) 5-sided geometric shape. In geometry, it is considered as a five-sided polygon with five straight sides and five interior angles, which add up to 540°. Pentagons can be simple or self-intersecting. A simple pentagon (5-gon) must have five straight sides that meet to create five vertices but do not intersect with each other. A self-intersecting regular pentagon is called a pentagram.
Header2

How to Calculate Area of Pentagon given Height?

Area of Pentagon given Height calculator uses Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))) to calculate 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 calculate Area of Pentagon given Height using this online calculator? To use this online calculator for Area of Pentagon given Height, enter Height of Pentagon (h) and hit the calculate button. Here is how the Area of Pentagon given Height calculation can be explained with given input values -> 163.4721 = 15^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))).

FAQ

What is Area of Pentagon given Height?

The Area of Pentagon given Height formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using height and is represented as A = h^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))) or Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))). Height of Pentagon is the distance between one side of Pentagon and its opposite vertex.

How to calculate Area of Pentagon given Height?

The Area of Pentagon given Height formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using height is calculated using Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*sqrt(5))). To calculate Area of Pentagon given Height, you need Height of Pentagon (h). With our tool, you need to enter the respective value for Height of Pentagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Area of Pentagon?

In this formula, Area of Pentagon uses Height of Pentagon. We can use 15 other way(s) to calculate the same, which is/are as follows -

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)
Area of Pentagon = 5/2*Edge Length of Pentagon*Inradius of Pentagon
Area of Pentagon = Perimeter of Pentagon^2*sqrt(25+(10*sqrt(5)))/100
Area of Pentagon = Circumradius of Pentagon^2*25*sqrt(25+(10*sqrt(5)))/(50+(10*sqrt(5)))
Area of Pentagon = Width of Pentagon^2*sqrt(25+(10*sqrt(5)))/(1+sqrt(5))^2
Area of Pentagon = Diagonal of Pentagon^2*sqrt(25+(10*sqrt(5)))/(1+sqrt(5))^2
Area of Pentagon = 25*Inradius of Pentagon^2/sqrt(25+(10*sqrt(5)))
Area of Pentagon = 5*Inradius of Pentagon^2*tan(pi/5)
Area of Pentagon = (5*((2*Height of Pentagon*sin(pi/5))/(1+cos(pi/5)))^2)/(4*tan(pi/5))
Area of Pentagon = (5*(Circumradius of Pentagon*sin(pi/5))^2)/tan(pi/5)
Area of Pentagon = (5*Edge Length of Pentagon^2*(1/2-cos(3/5*pi))^2)/(2*sin(3/5*pi))
Area of Pentagon = 5/2*Inradius of Pentagon^2*sin(3/5*pi)/(1/2-cos(3/5*pi))^2
Area of Pentagon = (5*((Height of Pentagon*sin(3/5*pi))/((3/2-cos(3/5*pi))*(1/2-cos(3/5*pi))))^2)/(4*tan(pi/5))

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