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Width of Decagon given Inradius Formula

GoWidth of Decagon given Circumradius Formula

GoWidth of Decagon Formula

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Width of Decagon is the measurement or extent of Decagon from side to side. Check FAQs

w = (1 + \sqrt{5}) \cdot \frac{2 \cdot r i}{\sqrt{5 + (2 \cdot \sqrt{5})}}

w - Width of Decagon?r_i - Inradius of Decagon?

Width of Decagon given Inradius Example

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Here is how the Width of Decagon given Inradius equation looks like with Values.

Here is how the Width of Decagon given Inradius equation looks like with Units.

Here is how the Width of Decagon given Inradius equation looks like.

31.5439 = (1 + \sqrt{5}) \cdot \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

31.5439m = (1 + \sqrt{5}) \cdot \frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

31.5439 = (1 + \sqrt{5}) \cdot \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

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Width of Decagon given Inradius Solution

Follow our step by step solution on how to calculate Width of Decagon given Inradius?

FIRST Step Consider the formula

w = (1 + \sqrt{5}) \cdot \frac{2 \cdot r i}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

w = (1 + \sqrt{5}) \cdot \frac{2 \cdot 15m}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

w = (1 + \sqrt{5}) \cdot \frac{2 \cdot 15}{\sqrt{5 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

w = 31.543866727148m

LAST Step Rounding Answer

∴

w = 31.5439m

Width of Decagon given Inradius Formula Elements

Variables

Functions

Width of Decagon

Width of Decagon is the measurement or extent of Decagon from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Decagon

Inradius of Decagon

Inradius of Decagon is the length of the straight line from the center to any point on the incircle of the Decagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Decagon

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 Decagon

Go Width of Decagon given Circumradius

w = 2 \cdot r c

Go Width of Decagon

w = \frac{S}{\sin (\frac{π}{10})}

Go Width of Decagon given Area

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

Go Width of Decagon given Height

w = (1 + \sqrt{5}) \cdot \frac{h}{\sqrt{5 + (2 \cdot \sqrt{5})}}

How to Evaluate Width of Decagon given Inradius?

Width of Decagon given Inradius evaluator uses Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))) to evaluate the Width of Decagon, The Width of Decagon given Inradius formula is defined as the measurement or extent of the Decagon from side to side, calculated using inradius. Width of Decagon is denoted by w symbol.

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

FAQs on Width of Decagon given Inradius

What is the formula to find Width of Decagon given Inradius?

The formula of Width of Decagon given Inradius is expressed as Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))). Here is an example- 31.54387 = (1+sqrt(5))*(2*15)/sqrt(5+(2*sqrt(5))).

How to calculate Width of Decagon given Inradius?

With Inradius of Decagon (r_i) we can find Width of Decagon given Inradius using the formula - Width of Decagon = (1+sqrt(5))*(2*Inradius of Decagon)/sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Width of Decagon?

Here are the different ways to Calculate Width of Decagon-

Width of Decagon=2*Circumradius of Decagon
Width of Decagon=Side of Decagon/sin(pi/10)
Width of Decagon=(1+sqrt(5))*sqrt((2*Area of Decagon)/(5*sqrt(5+(2*sqrt(5)))))

Can the Width of Decagon given Inradius be negative?

No, the Width of Decagon given Inradius, measured in Length cannot be negative.

Which unit is used to measure Width of Decagon given Inradius?

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

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