Edge Length of Pentagon given Area and Inradius Calculator

✖The Area of Pentagon is the amount of two-dimensional space taken up by a Pentagon.ⓘ Area of Pentagon [A]			+10% -10%
✖The Inradius of Pentagon is defined as the radius of the circle which is inscribed inside the Pentagon.ⓘ Inradius of Pentagon [r_i]			+10% -10%

✖The Edge Length of Pentagon is the length of one of the five sides of the Pentagon.ⓘ Edge Length of Pentagon given Area and Inradius [l_e]

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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)
l_e = (2*A)/(5*r_i)
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

l_e = (2*A)/(5*r_i) --> (2*170)/(5*7)

Evaluating ... ...

l_e = 9.71428571428571

STEP 3: Convert Result to Output's Unit

9.71428571428571 Meter --> No Conversion Required

FINAL ANSWER

9.71428571428571 ≈ 9.714286 Meter <-- Edge Length of Pentagon

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Vishwakarma Institute of Technology (VIT), Pune

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< Edge Length of Pentagon Calculators

Edge Length of Pentagon given Height using Central Angle

LaTeX Go Edge Length of Pentagon = (2*Height of Pentagon*sin(pi/5))/(1+cos(pi/5))

Edge Length of Pentagon given Area

LaTeX Go Edge Length of Pentagon = sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5)))))

Edge Length of Pentagon given Inradius

LaTeX Go Edge Length of Pentagon = Inradius of Pentagon*10/sqrt(25+(10*sqrt(5)))

Edge Length of Pentagon given Area and Inradius

LaTeX Go Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon)

< Other Formulas of Pentagon Calculators

Edge Length of Pentagon given Area and Inradius

LaTeX Go Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon)

Diagonal of Pentagon

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

Width of Pentagon

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

Perimeter of Pentagon

LaTeX Go Perimeter of Pentagon = 5*Edge Length of Pentagon

Edge Length of Pentagon given Area and Inradius Formula

LaTeX Go

Edge Length of Pentagon = (2*Area of Pentagon)/(5*Inradius of Pentagon)
l_e = (2*A)/(5*r_i)

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 l_e 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 (r_i) 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 l_e = (2*A)/(5*r_i) 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 (r_i). 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 3 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)))))

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