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Height of Octagon given Circumradius Formula

GoHeight of Octagon given Inradius Formula

GoHeight of Octagon Formula

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The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon. Check FAQs

h = (\frac{2 \cdot r c}{\sqrt{4 + (2 \cdot \sqrt{2})}}) \cdot (1 + \sqrt{2})

h - Height of Octagon?r_c - Circumradius of Octagon?

Height of Octagon given Circumradius Example

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

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

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

24.0209 = (\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}}) \cdot (1 + \sqrt{2})

24.0209m = (\frac{2 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}}) \cdot (1 + \sqrt{2})

24.0209 = (\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}}) \cdot (1 + \sqrt{2})

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Height of Octagon given Circumradius Solution

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

FIRST Step Consider the formula

h = (\frac{2 \cdot r c}{\sqrt{4 + (2 \cdot \sqrt{2})}}) \cdot (1 + \sqrt{2})

Next Step Substitute values of Variables

∴

h = (\frac{2 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}}) \cdot (1 + \sqrt{2})

Next Step Prepare to Evaluate

∴

h = (\frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}}) \cdot (1 + \sqrt{2})

Next Step Evaluate

∴

h = 24.0208678452935m

LAST Step Rounding Answer

∴

h = 24.0209m

Height of Octagon given Circumradius Formula Elements

Variables

Functions

Height of Octagon

The Height of Octagon is the vertical distance from the bottom edge to the top edge of the Regular Octagon.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height of Octagon

Go Height of Octagon given Inradius

h = 2 \cdot r i

Go Height of Octagon

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

Go Height of Octagon given Long Diagonal

h = (\frac{\sqrt{2 + \sqrt{2}}}{2}) \cdot d Long

Go Height of Octagon given Short Diagonal

h = \sqrt{1 + (\frac{1}{\sqrt{2}})} \cdot d Short

How to Evaluate Height of Octagon given Circumradius?

Height of Octagon given Circumradius evaluator uses Height of Octagon = ((2*Circumradius of Octagon)/(sqrt(4+(2*sqrt(2)))))*(1+sqrt(2)) to evaluate the Height of Octagon, The Height of Octagon given Circumradius formula is defined as the vertical distance from the bottom edge to the top edge of the Regular Octagon, and calculated using the circumradius of the Octagon. Height of Octagon is denoted by h symbol.

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

FAQs on Height of Octagon given Circumradius

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

The formula of Height of Octagon given Circumradius is expressed as Height of Octagon = ((2*Circumradius of Octagon)/(sqrt(4+(2*sqrt(2)))))*(1+sqrt(2)). Here is an example- 24.02087 = ((2*13)/(sqrt(4+(2*sqrt(2)))))*(1+sqrt(2)).

How to calculate Height of Octagon given Circumradius?

With Circumradius of Octagon (r_c) we can find Height of Octagon given Circumradius using the formula - Height of Octagon = ((2*Circumradius of Octagon)/(sqrt(4+(2*sqrt(2)))))*(1+sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Octagon?

Here are the different ways to Calculate Height of Octagon-

Height of Octagon=2*Inradius of Octagon
Height of Octagon=(1+sqrt(2))*Edge Length of Octagon
Height of Octagon=((sqrt(2+sqrt(2)))/2)*Long Diagonal of Octagon

Can the Height of Octagon given Circumradius be negative?

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

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

Height 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 Height of Octagon given Circumradius can be measured.

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