Area of Pentagon given Perimeter Calculator

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.
Perimeter of Pentagon - (Measured in Meter) - The Perimeter of Pentagon is the total distance around the edge of the Pentagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Pentagon: 50 Meter --> 50 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = P^2*sqrt(25+(10*sqrt(5)))/100 --> 50^2*sqrt(25+(10*sqrt(5)))/100

Evaluating ... ...

A = 172.047740058897

STEP 3: Convert Result to Output's Unit

172.047740058897 Square Meter --> No Conversion Required

FINAL ANSWER

172.047740058897 ≈ 172.0477 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

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Nayana Phulphagar

Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI

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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 Perimeter Formula

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

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.

How to Calculate Area of Pentagon given Perimeter?

Area of Pentagon given Perimeter calculator uses Area of Pentagon = Perimeter of Pentagon^2*sqrt(25+(10*sqrt(5)))/100 to calculate the Area of Pentagon, Area of Pentagon given Perimeter formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using perimeter. Area of Pentagon is denoted by A symbol.

How to calculate Area of Pentagon given Perimeter using this online calculator? To use this online calculator for Area of Pentagon given Perimeter, enter Perimeter of Pentagon (P) and hit the calculate button. Here is how the Area of Pentagon given Perimeter calculation can be explained with given input values -> 172.0477 = 50^2*sqrt(25+(10*sqrt(5)))/100.

FAQ

What is Area of Pentagon given Perimeter?

Area of Pentagon given Perimeter formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using perimeter and is represented as A = P^2*sqrt(25+(10*sqrt(5)))/100 or Area of Pentagon = Perimeter of Pentagon^2*sqrt(25+(10*sqrt(5)))/100. The Perimeter of Pentagon is the total distance around the edge of the Pentagon.

How to calculate Area of Pentagon given Perimeter?

Area of Pentagon given Perimeter formula is defined as the amount of 2-dimensional space occupied by a Pentagon, calculated using perimeter is calculated using Area of Pentagon = Perimeter of Pentagon^2*sqrt(25+(10*sqrt(5)))/100. To calculate Area of Pentagon given Perimeter, you need Perimeter of Pentagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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 = Circumradius of Pentagon^2*25*sqrt(25+(10*sqrt(5)))/(50+(10*sqrt(5)))
Area of Pentagon = Height of Pentagon^2*sqrt(25+(10*sqrt(5)))/(5+(2*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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