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Width of Octagon given Circumradius Formula

GoWidth of Octagon given Perimeter Formula

GoWidth of Octagon Formula

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The Width of Octagon is the horizontal distance from the left most edge to the right most edge of the Regular Octagon. Check FAQs

w = (\sqrt{2} + 1) \cdot (\sqrt{2 - \sqrt{2}}) \cdot r c

w - Width of Octagon?r_c - Circumradius of Octagon?

Width of Octagon given Circumradius Example

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

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

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

24.0209 = (\sqrt{2} + 1) \cdot (\sqrt{2 - \sqrt{2}}) \cdot 13

24.0209m = (\sqrt{2} + 1) \cdot (\sqrt{2 - \sqrt{2}}) \cdot 13m

24.0209 = (\sqrt{2} + 1) \cdot (\sqrt{2 - \sqrt{2}}) \cdot 13

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Width of Octagon given Circumradius Solution

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

FIRST Step Consider the formula

w = (\sqrt{2} + 1) \cdot (\sqrt{2 - \sqrt{2}}) \cdot r c

Next Step Substitute values of Variables

∴

w = (\sqrt{2} + 1) \cdot (\sqrt{2 - \sqrt{2}}) \cdot 13m

Next Step Prepare to Evaluate

∴

w = (\sqrt{2} + 1) \cdot (\sqrt{2 - \sqrt{2}}) \cdot 13

Next Step Evaluate

∴

w = 24.0208678452935m

LAST Step Rounding Answer

∴

w = 24.0209m

Width of Octagon given Circumradius Formula Elements

Variables

Functions

Width of Octagon

The Width of Octagon is the horizontal distance from the left most edge to the right most edge of the Regular Octagon.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Octagon

Circumradius of Octagon

The Circumradius of Octagon is the radius of circumcircle of the Regular Octagon or the circle that contains the Octagon with all vertices lies on that circle.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Octagon

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 Octagon

Go Width of Octagon given Perimeter

w = (\sqrt{2} + 1) \cdot \frac{P}{8}

Go Width of Octagon

w = (\sqrt{2} + 1) \cdot l e

Go Width of Octagon given Medium Diagonal

w = 1 \cdot d Medium

How to Evaluate Width of Octagon given Circumradius?

Width of Octagon given Circumradius evaluator uses Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon to evaluate the Width of Octagon, Width of Octagon given Circumradius formula is defined as the horizontal distance from the left most edge to the right most edge of the Regular Octagon, calculated using circumradius. Width of Octagon is denoted by w symbol.

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

FAQs on Width of Octagon given Circumradius

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

The formula of Width of Octagon given Circumradius is expressed as Width of Octagon = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*Circumradius of Octagon. Here is an example- 24.02087 = (sqrt(2)+1)*(sqrt(2-sqrt(2)))*13.

How to calculate Width of Octagon given Circumradius?

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

What are the other ways to Calculate Width of Octagon?

Here are the different ways to Calculate Width of Octagon-

Width of Octagon=(sqrt(2)+1)*Perimeter of Octagon/8
Width of Octagon=(sqrt(2)+1)*Edge Length of Octagon
Width of Octagon=1*Medium Diagonal of Octagon

Can the Width of Octagon given Circumradius be negative?

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

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

Width of Octagon 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 Octagon given Circumradius can be measured.

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