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Width of Pentagon given Circumradius Formula

GoWidth of Pentagon given Area Formula

GoWidth of Pentagon Formula

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Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon. Check FAQs

w = \frac{1 + \sqrt{5}}{2} \cdot (r c \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}})

w - Width of Pentagon?r_c - Circumradius of Pentagon?

Width of Pentagon given Circumradius Example

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Here is how the Width of Pentagon given Circumradius equation looks like with Values.

Here is how the Width of Pentagon given Circumradius equation looks like with Units.

Here is how the Width of Pentagon given Circumradius equation looks like.

17.119 = \frac{1 + \sqrt{5}}{2} \cdot (9 \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}})

17.119m = \frac{1 + \sqrt{5}}{2} \cdot (9m \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}})

17.119 = \frac{1 + \sqrt{5}}{2} \cdot (9 \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}})

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Width of Pentagon given Circumradius Solution

Follow our step by step solution on how to calculate Width of Pentagon given Circumradius?

FIRST Step Consider the formula

w = \frac{1 + \sqrt{5}}{2} \cdot (r c \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}})

Next Step Substitute values of Variables

∴

w = \frac{1 + \sqrt{5}}{2} \cdot (9m \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}})

Next Step Prepare to Evaluate

∴

w = \frac{1 + \sqrt{5}}{2} \cdot (9 \cdot \frac{10}{\sqrt{50 + (10 \cdot \sqrt{5})}})

Next Step Evaluate

∴

w = 17.1190172933128m

LAST Step Rounding Answer

∴

w = 17.119m

Width of Pentagon given Circumradius Formula Elements

Variables

Functions

Width of Pentagon

Width of Pentagon is the measurement or extent of horizontal distance from left to right of the Pentagon.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Pentagon

Circumradius of Pentagon

The Circumradius of Pentagon is the radius of a circumcircle touching each of the vertices of Pentagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Pentagon

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.

Syntax: sqrt(Number)

Other Formulas to find Width of Pentagon

Go Width of Pentagon given Area

w = \frac{1 + \sqrt{5}}{2} \cdot \sqrt{4 \cdot \frac{A}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Width of Pentagon

w = \frac{1 + \sqrt{5}}{2} \cdot l e

Go Width of Pentagon given Perimeter

w = P \cdot \frac{1 + \sqrt{5}}{10}

Go Width of Pentagon given Diagonal

w = d \cdot 1

How to Evaluate Width of Pentagon given Circumradius?

Width of Pentagon given Circumradius evaluator uses Width of Pentagon = (1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5)))) to evaluate the Width of Pentagon, Width of Pentagon given Circumradius formula is defined as the distance between non-adjacent vertices of the regular Pentagon (the length of its diagonal), calculated using circumradius. Width of Pentagon is denoted by w symbol.

How to evaluate Width of Pentagon given Circumradius using this online evaluator? To use this online evaluator for Width of Pentagon given Circumradius, enter Circumradius of Pentagon (r_c) and hit the calculate button.

FAQs on Width of Pentagon given Circumradius

What is the formula to find Width of Pentagon given Circumradius?

The formula of Width of Pentagon given Circumradius is expressed as Width of Pentagon = (1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5)))). Here is an example- 17.11902 = (1+sqrt(5))/2*(9*10/sqrt(50+(10*sqrt(5)))).

How to calculate Width of Pentagon given Circumradius?

With Circumradius of Pentagon (r_c) we can find Width of Pentagon given Circumradius using the formula - Width of Pentagon = (1+sqrt(5))/2*(Circumradius of Pentagon*10/sqrt(50+(10*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Width of Pentagon?

Here are the different ways to Calculate Width of Pentagon-

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

Can the Width of Pentagon given Circumradius be negative?

No, the Width of Pentagon given Circumradius, measured in Length cannot be negative.

Which unit is used to measure Width of Pentagon given Circumradius?

Width of Pentagon given Circumradius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of Pentagon given Circumradius can be measured.

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