## Edge Length of Pentagon given Area and Inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon)
le = (2*A)/(5*ri)
This formula uses 3 Variables
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.
Area of Pentagon - (Measured in Square Meter) - The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.
Inradius of Pentagon - (Measured in Meter) - The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.
STEP 1: Convert Input(s) to Base Unit
Area of Pentagon: 170 Square Meter --> 170 Square Meter No Conversion Required
Inradius of Pentagon: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = (2*A)/(5*ri) --> (2*170)/(5*7)
Evaluating ... ...
le = 9.71428571428571
STEP 3: Convert Result to Output's Unit
9.71428571428571 Meter --> No Conversion Required
9.71428571428571 9.714286 Meter <-- Edge Length of Pentagon
(Calculation completed in 00.004 seconds)
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## Credits

Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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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 Circumradius using Central Angle
Edge Length of Pentagon = 2*Circumradius of Pentagon*sin(pi/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 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

## < 4 Other Formulas of Pentagon Calculators

Edge Length of Pentagon given Area and Inradius
Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon)
Diagonal of Pentagon
Diagonal of Pentagon = (1+sqrt(5))*Edge Length of Pentagon/2
Width of Pentagon
Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon
Perimeter of Pentagon
Perimeter of Pentagon = 5*Edge Length of Pentagon

## Edge Length of Pentagon given Area and Inradius Formula

Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon)
le = (2*A)/(5*ri)

## 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 Area and Inradius?

Edge Length of Pentagon given Area and Inradius calculator uses Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon) to calculate the Edge Length of Pentagon, Edge Length of Pentagon given Area and Inradius is defined as the length of the line connecting two adjacent vertices of the Pentagon, calculated using area and inradius. Edge Length of Pentagon is denoted by le symbol.

How to calculate Edge Length of Pentagon given Area and Inradius using this online calculator? To use this online calculator for Edge Length of Pentagon given Area and Inradius, enter Area of Pentagon (A) & Inradius of Pentagon (ri) and hit the calculate button. Here is how the Edge Length of Pentagon given Area and Inradius calculation can be explained with given input values -> 9.714286 = (2*170)/(5*7).

### FAQ

What is Edge Length of Pentagon given Area and Inradius?
Edge Length of Pentagon given Area and Inradius is defined as the length of the line connecting two adjacent vertices of the Pentagon, calculated using area and inradius and is represented as le = (2*A)/(5*ri) or Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon). The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon & The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.
How to calculate Edge Length of Pentagon given Area and Inradius?
Edge Length of Pentagon given Area and Inradius is defined as the length of the line connecting two adjacent vertices of the Pentagon, calculated using area and inradius is calculated using Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon). To calculate Edge Length of Pentagon given Area and Inradius, you need Area of Pentagon (A) & Inradius of Pentagon (ri). With our tool, you need to enter the respective value for Area of Pentagon & Inradius 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 Area of Pentagon & Inradius of Pentagon. We can use 15 other way(s) to calculate the same, which is/are as follows -
• 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 = Diagonal of Pentagon*2/(1+sqrt(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))) Let Others Know