Width 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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✖Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon.ⓘ Width of Pentagon given Area [w]

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Width of Pentagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5)))))
w = (1+sqrt(5))/2*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

Width of Pentagon - (Measured in Meter) - Width of Pentagon is the measurement or extent of horizontal distance from left to right 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

w = (1+sqrt(5))/2*sqrt(4*A/(sqrt(25+(10*sqrt(5))))) --> (1+sqrt(5))/2*sqrt(4*170/(sqrt(25+(10*sqrt(5)))))

Evaluating ... ...

w = 16.083761140737

STEP 3: Convert Result to Output's Unit

16.083761140737 Meter --> No Conversion Required

FINAL ANSWER

16.083761140737 ≈ 16.08376 Meter <-- Width of Pentagon

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

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St Joseph's College (SJC), Bengaluru

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< Width of Pentagon Calculators

Width of Pentagon given Area

LaTeX Go Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5)))))

Width of Pentagon given Circumradius

LaTeX Go Width of Pentagon = (1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))))

Width of Pentagon

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

Width of Pentagon given Perimeter

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

Width of Pentagon given Area Formula

LaTeX Go

Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5)))))
w = (1+sqrt(5))/2*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 Width of Pentagon given Area?

Width of Pentagon given Area calculator uses Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5))))) to calculate the Width of Pentagon, Width of Pentagon given Area formula is defined as the distance between two opposite vertices of the regular Pentagon, calculated using Area. Width of Pentagon is denoted by w symbol.

How to calculate Width of Pentagon given Area using this online calculator? To use this online calculator for Width of Pentagon given Area, enter Area of Pentagon (A) and hit the calculate button. Here is how the Width of Pentagon given Area calculation can be explained with given input values -> 16.08376 = (1+sqrt(5))/2*sqrt(4*170/(sqrt(25+(10*sqrt(5))))).

FAQ

What is Width of Pentagon given Area?

Width of Pentagon given Area formula is defined as the distance between two opposite vertices of the regular Pentagon, calculated using Area and is represented as w = (1+sqrt(5))/2*sqrt(4*A/(sqrt(25+(10*sqrt(5))))) or Width of Pentagon = (1+sqrt(5))/2*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 Width of Pentagon given Area?

Width of Pentagon given Area formula is defined as the distance between two opposite vertices of the regular Pentagon, calculated using Area is calculated using Width of Pentagon = (1+sqrt(5))/2*sqrt(4*Area of Pentagon/(sqrt(25+(10*sqrt(5))))). To calculate Width 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 Width of Pentagon?

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

Width of Pentagon = (1+sqrt(5))/2*Edge Length of Pentagon
Width of Pentagon = (1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5))))
Width of Pentagon = Perimeter of Pentagon*(1+sqrt(5))/10

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