Perimeter of Pentagon given Area Calculator

Perimeter of Pentagon = 5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5))))
P = 5*sqrt(4*A/sqrt(25+(10*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

Perimeter of Pentagon - (Measured in Meter) - The Perimeter of Pentagon is the total distance around the edge of the Pentagon.
Area of Pentagon - (Measured in Square Meter) - The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.

STEP 1: Convert Input(s) to Base Unit

Area of Pentagon: 170 Square Meter --> 170 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 5*sqrt(4*A/sqrt(25+(10*sqrt(5)))) --> 5*sqrt(4*170/sqrt(25+(10*sqrt(5))))

Evaluating ... ...

P = 49.7015552595513

STEP 3: Convert Result to Output's Unit

49.7015552595513 Meter --> No Conversion Required

FINAL ANSWER

49.7015552595513 ≈ 49.70156 Meter <-- Perimeter of Pentagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Pentagon » Perimeter of Pentagon » Perimeter of Pentagon given Area

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

Nayana Phulphagar has verified this Calculator and 1400+ more calculators!

< 7 Perimeter of Pentagon Calculators

Perimeter of Pentagon given Area

Go Perimeter of Pentagon = 5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5))))

Perimeter of Pentagon given Circumradius

Go Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5)))

Perimeter of Pentagon given Inradius

Go Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5)))

Perimeter of Pentagon given Diagonal

Go Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5))

Perimeter of Pentagon given Height

Go Perimeter of Pentagon = 10*Height of Pentagon*tan(0.314)

Perimeter of Pentagon given Width

Go Perimeter of Pentagon = 10*Width of Pentagon/(1+sqrt(5))

Perimeter of Pentagon

Go Perimeter of Pentagon = 5*Edge Length of Pentagon

Perimeter of Pentagon given Area Formula

Perimeter of Pentagon = 5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5))))
P = 5*sqrt(4*A/sqrt(25+(10*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.

How to Calculate Perimeter of Pentagon given Area?

Perimeter of Pentagon given Area calculator uses Perimeter of Pentagon = 5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5)))) to calculate the Perimeter of Pentagon, The Perimeter of Pentagon given Area formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length, calculated using area. Perimeter of Pentagon is denoted by P symbol.

How to calculate Perimeter of Pentagon given Area using this online calculator? To use this online calculator for Perimeter of Pentagon given Area, enter Area of Pentagon (A) and hit the calculate button. Here is how the Perimeter of Pentagon given Area calculation can be explained with given input values -> 49.70156 = 5*sqrt(4*170/sqrt(25+(10*sqrt(5)))).

FAQ

What is Perimeter of Pentagon given Area?

The Perimeter of Pentagon given Area formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length, calculated using area and is represented as P = 5*sqrt(4*A/sqrt(25+(10*sqrt(5)))) or Perimeter of Pentagon = 5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5)))). The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.

How to calculate Perimeter of Pentagon given Area?

The Perimeter of Pentagon given Area formula is defined as the summation of all the sides of Pentagon, where all the sides of Pentagon are of equal length, calculated using area is calculated using Perimeter of Pentagon = 5*sqrt(4*Area of Pentagon/sqrt(25+(10*sqrt(5)))). To calculate Perimeter of Pentagon given Area, you need Area of Pentagon (A). With our tool, you need to enter the respective value for Area 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 Perimeter of Pentagon?

In this formula, Perimeter of Pentagon uses Area of Pentagon. We can use 6 other way(s) to calculate the same, which is/are as follows -

Perimeter of Pentagon = 5*Edge Length of Pentagon
Perimeter of Pentagon = 50*Circumradius of Pentagon/sqrt(50+(10*sqrt(5)))
Perimeter of Pentagon = 50*Inradius of Pentagon/sqrt(25+(10*sqrt(5)))
Perimeter of Pentagon = 10*Height of Pentagon*tan(0.314)
Perimeter of Pentagon = 10*Width of Pentagon/(1+sqrt(5))
Perimeter of Pentagon = 10*Diagonal of Pentagon/(1+sqrt(5))

Home

FREE PDFs

🔍 Search