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Height of Koch Curve Formula

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The Height of Koch Curve is the maximum vertical distance from base to the Koch Curve. Check FAQs

h = \frac{\sqrt{3}}{6} \cdot l 0

h - Height of Koch Curve?l₀ - Initial Length of Koch Curve?

Height of Koch Curve Example

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Here is how the Height of Koch Curve equation looks like with Values.

Here is how the Height of Koch Curve equation looks like with Units.

Here is how the Height of Koch Curve equation looks like.

7.7942 = \frac{\sqrt{3}}{6} \cdot 27

7.7942m = \frac{\sqrt{3}}{6} \cdot 27m

7.7942 = \frac{\sqrt{3}}{6} \cdot 27

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Height of Koch Curve Solution

Follow our step by step solution on how to calculate Height of Koch Curve?

FIRST Step Consider the formula

h = \frac{\sqrt{3}}{6} \cdot l 0

Next Step Substitute values of Variables

∴

h = \frac{\sqrt{3}}{6} \cdot 27m

Next Step Prepare to Evaluate

∴

h = \frac{\sqrt{3}}{6} \cdot 27

Next Step Evaluate

∴

h = 7.79422863405995m

LAST Step Rounding Answer

∴

h = 7.7942m

Height of Koch Curve Formula Elements

Variables

Functions

Height of Koch Curve

The Height of Koch Curve is the maximum vertical distance from base to the Koch Curve.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Koch Curve

Initial Length of Koch Curve

The Initial Length of Koch Curve is the length of the curve which undergoing iteration to form the Koch Curve of respective iteration order.

Symbol: l₀

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Length of Koch Curve

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 in Koch Curve category

Go Length of Koch Curve after n Iterations

l n = {(\frac{4}{3})}^{n} \cdot l 0

Go Initial Line Length of Koch Curve given Height

l 0 = 2 \cdot \sqrt{3} \cdot h

Go Initial Line Length of Koch Curve given Length after n Iterations

l 0 = {(\frac{3}{4})}^{n} \cdot l n

Go Number of Iterations of Koch Curve given Length after n Iterations

n = \frac{\ln (\frac{l n}{l 0})}{\ln (\frac{4}{3})}

How to Evaluate Height of Koch Curve?

Height of Koch Curve evaluator uses Height of Koch Curve = sqrt(3)/6*Initial Length of Koch Curve to evaluate the Height of Koch Curve, The Height of Koch Curve formula is defined as the perpendicular distance from the bottom level to the highest point of the Koch Curve. Height of Koch Curve is denoted by h symbol.

How to evaluate Height of Koch Curve using this online evaluator? To use this online evaluator for Height of Koch Curve, enter Initial Length of Koch Curve (l₀) and hit the calculate button.

FAQs on Height of Koch Curve

What is the formula to find Height of Koch Curve?

The formula of Height of Koch Curve is expressed as Height of Koch Curve = sqrt(3)/6*Initial Length of Koch Curve. Here is an example- 7.794229 = sqrt(3)/6*27.

How to calculate Height of Koch Curve?

With Initial Length of Koch Curve (l₀) we can find Height of Koch Curve using the formula - Height of Koch Curve = sqrt(3)/6*Initial Length of Koch Curve. This formula also uses Square Root (sqrt) function(s).

Can the Height of Koch Curve be negative?

No, the Height of Koch Curve, measured in Length cannot be negative.

Which unit is used to measure Height of Koch Curve?

Height of Koch Curve is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Koch Curve can be measured.

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