Diagonal of Pentagon given Area Calculator

✖The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.ⓘ Area of Pentagon [A]

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✖Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.ⓘ Diagonal of Pentagon given Area [d]

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Diagonal of Pentagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5))))
d = (1+sqrt(5))*sqrt(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

Diagonal of Pentagon - (Measured in Meter) - Diagonal of Pentagon is a straight line joining two non adjacent vertices of a 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

d = (1+sqrt(5))*sqrt(A/sqrt(25+(10*sqrt(5)))) --> (1+sqrt(5))*sqrt(170/sqrt(25+(10*sqrt(5))))

Evaluating ... ...

d = 16.083761140737

STEP 3: Convert Result to Output's Unit

16.083761140737 Meter --> No Conversion Required

FINAL ANSWER

16.083761140737 ≈ 16.08376 Meter <-- Diagonal of Pentagon

(Calculation completed in 00.004 seconds)

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Created by Divanshi Jain

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

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< Diagonal of Pentagon Calculators

Diagonal of Pentagon given Area

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

Diagonal of Pentagon given Circumradius

LaTeX Go Diagonal of Pentagon = Circumradius of Pentagon/(sqrt((5-sqrt(5))/10))

Diagonal of Pentagon

LaTeX Go Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2

Diagonal of Pentagon given Perimeter

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

Diagonal of Pentagon given Area Formula

LaTeX Go

Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5))))
d = (1+sqrt(5))*sqrt(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 is 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 Diagonal of Pentagon given Area?

Diagonal of Pentagon given Area calculator uses Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5)))) to calculate the Diagonal of Pentagon, The Diagonal of Pentagon given Area formula is defined as the length of the line segment joining two non adjacent vertices of Pentagon, calculated using area. Diagonal of Pentagon is denoted by d symbol.

How to calculate Diagonal of Pentagon given Area using this online calculator? To use this online calculator for Diagonal of Pentagon given Area, enter Area of Pentagon (A) and hit the calculate button. Here is how the Diagonal of Pentagon given Area calculation can be explained with given input values -> 16.08376 = (1+sqrt(5))*sqrt(170/sqrt(25+(10*sqrt(5)))).

FAQ

What is Diagonal of Pentagon given Area?

The Diagonal of Pentagon given Area formula is defined as the length of the line segment joining two non adjacent vertices of Pentagon, calculated using area and is represented as d = (1+sqrt(5))*sqrt(A/sqrt(25+(10*sqrt(5)))) or Diagonal of Pentagon = (1+sqrt(5))*sqrt(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 Diagonal of Pentagon given Area?

The Diagonal of Pentagon given Area formula is defined as the length of the line segment joining two non adjacent vertices of Pentagon, calculated using area is calculated using Diagonal of Pentagon = (1+sqrt(5))*sqrt(Area of Pentagon/sqrt(25+(10*sqrt(5)))). To calculate Diagonal 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 Diagonal of Pentagon?

In this formula, Diagonal of Pentagon uses Area of Pentagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Diagonal of Pentagon = Circumradius of Pentagon/(sqrt((5-sqrt(5))/10))
Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2
Diagonal of Pentagon = (1+sqrt(5))*Perimeter of Pentagon/10

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