## Edge Length of Pentagon given Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Pentagon = Diagonal of Pentagon*2/(1+sqrt(5))
le = d*2/(1+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
Edge Length of Pentagon - (Measured in Meter) - The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.
Diagonal of Pentagon - (Measured in Meter) - Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.
STEP 1: Convert Input(s) to Base Unit
Diagonal of Pentagon: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = d*2/(1+sqrt(5)) --> 16*2/(1+sqrt(5))
Evaluating ... ...
le = 9.88854381999832
STEP 3: Convert Result to Output's Unit
9.88854381999832 Meter --> No Conversion Required
9.88854381999832 9.888544 Meter <-- Edge Length of Pentagon
(Calculation completed in 00.004 seconds)
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## < 16 Edge Length of Pentagon Calculators

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

## Edge Length of Pentagon given Diagonal Formula

Edge Length of Pentagon = Diagonal of Pentagon*2/(1+sqrt(5))
le = d*2/(1+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 Edge Length of Pentagon given Diagonal?

Edge Length of Pentagon given Diagonal calculator uses Edge Length of Pentagon = Diagonal of Pentagon*2/(1+sqrt(5)) to calculate the Edge Length of Pentagon, The Edge Length of Pentagon given Diagonal is defined as the length of the line connecting the two adjacent vertices of the Pentagon, calculated using diagonal. Edge Length of Pentagon is denoted by le symbol.

How to calculate Edge Length of Pentagon given Diagonal using this online calculator? To use this online calculator for Edge Length of Pentagon given Diagonal, enter Diagonal of Pentagon (d) and hit the calculate button. Here is how the Edge Length of Pentagon given Diagonal calculation can be explained with given input values -> 9.888544 = 16*2/(1+sqrt(5)).

### FAQ

What is Edge Length of Pentagon given Diagonal?
The Edge Length of Pentagon given Diagonal is defined as the length of the line connecting the two adjacent vertices of the Pentagon, calculated using diagonal and is represented as le = d*2/(1+sqrt(5)) or Edge Length of Pentagon = Diagonal of Pentagon*2/(1+sqrt(5)). Diagonal of Pentagon is a straight line joining two non adjacent vertices of a Pentagon.
How to calculate Edge Length of Pentagon given Diagonal?
The Edge Length of Pentagon given Diagonal is defined as the length of the line connecting the two adjacent vertices of the Pentagon, calculated using diagonal is calculated using Edge Length of Pentagon = Diagonal of Pentagon*2/(1+sqrt(5)). To calculate Edge Length of Pentagon given Diagonal, you need Diagonal of Pentagon (d). With our tool, you need to enter the respective value for Diagonal 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 Edge Length of Pentagon?
In this formula, Edge Length of Pentagon uses Diagonal of Pentagon. We can use 15 other way(s) to calculate the same, which is/are as follows -
• Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon)
• Edge Length of Pentagon = (2*Height of Pentagon*sin(pi/5))/(1+cos(pi/5))
• Edge Length of Pentagon = Inradius of Pentagon*10/sqrt(25+(10*sqrt(5)))
• Edge Length of Pentagon = sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5)))))
• Edge Length of Pentagon = Height of Pentagon*2/sqrt(5+(2*sqrt(5)))
• Edge Length of Pentagon = Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5)))
• Edge Length of Pentagon = Width of Pentagon*2/(1+sqrt(5))
• Edge Length of Pentagon = 2*Circumradius of Pentagon*sin(pi/5)
• Edge Length of Pentagon = 2*Inradius of Pentagon*tan(pi/5)
• Edge Length of Pentagon = sqrt((Area of Pentagon*4*tan(pi/5))/5)
• Edge Length of Pentagon = Perimeter of Pentagon/5
• Edge Length of Pentagon = sqrt(((2*sin(3/5*pi))*Area of Pentagon)/(5*(1/2-cos(3/5*pi))^2))
• Edge Length of Pentagon = Circumradius of Pentagon*sin(3/5*pi)/(1/2-cos(3/5*pi))
• Edge Length of Pentagon = Inradius of Pentagon*sin(3/5*pi)/(1/2-cos(3/5*pi))^2
• Edge Length of Pentagon = (Height of Pentagon*sin(3/5*pi))/((3/2-cos(3/5*pi))*(1/2-cos(3/5*pi)))
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