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Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side. Check FAQs
h=P18tan(π18)
h - Height of Nonagon?P - Perimeter of Nonagon?π - Archimedes' constant?

Height of Nonagon given Perimeter Example

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With units
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Here is how the Height of Nonagon given Perimeter equation looks like with Values.

Here is how the Height of Nonagon given Perimeter equation looks like with Units.

Here is how the Height of Nonagon given Perimeter equation looks like.

22.055Edit=70Edit18tan(3.141618)
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Height of Nonagon given Perimeter Solution

Follow our step by step solution on how to calculate Height of Nonagon given Perimeter?

FIRST Step Consider the formula
h=P18tan(π18)
Next Step Substitute values of Variables
h=70m18tan(π18)
Next Step Substitute values of Constants
h=70m18tan(3.141618)
Next Step Prepare to Evaluate
h=7018tan(3.141618)
Next Step Evaluate
h=22.0549848540689m
LAST Step Rounding Answer
h=22.055m

Height of Nonagon given Perimeter Formula Elements

Variables
Constants
Functions
Height of Nonagon
Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.
Symbol: h
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Perimeter of Nonagon
Perimeter of Nonagon is the total distance around the edge of the Nonagon.
Symbol: P
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Archimedes' constant
Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.
Symbol: π
Value: 3.14159265358979323846264338327950288
tan
The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.
Syntax: tan(Angle)

Other Formulas to find Height of Nonagon

​Go Height of Nonagon
h=rc+ri
​Go Height of Nonagon given Area
h=(1+cos(π9)3sin(π9))A(tan(π9))
​Go Height of Nonagon given Inradius
h=ri(1+sec(π9))
​Go Height of Nonagon given Side
h=(1+cos(π9)2sin(π9))S

How to Evaluate Height of Nonagon given Perimeter?

Height of Nonagon given Perimeter evaluator uses Height of Nonagon = Perimeter of Nonagon/(18*tan(pi/18)) to evaluate the Height of Nonagon, The Height of Nonagon given Perimeter formula is defined as a perpendicular distance between the apex of the Nonagon and a point on its opposite side, calculated using Perimeter. Height of Nonagon is denoted by h symbol.

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

FAQs on Height of Nonagon given Perimeter

What is the formula to find Height of Nonagon given Perimeter?
The formula of Height of Nonagon given Perimeter is expressed as Height of Nonagon = Perimeter of Nonagon/(18*tan(pi/18)). Here is an example- 22.05498 = 70/(18*tan(pi/18)).
How to calculate Height of Nonagon given Perimeter?
With Perimeter of Nonagon (P) we can find Height of Nonagon given Perimeter using the formula - Height of Nonagon = Perimeter of Nonagon/(18*tan(pi/18)). This formula also uses Archimedes' constant and Tangent (tan) function(s).
What are the other ways to Calculate Height of Nonagon?
Here are the different ways to Calculate Height of Nonagon-
  • Height of Nonagon=Circumradius of Nonagon+Inradius of NonagonOpenImg
  • Height of Nonagon=((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))OpenImg
  • Height of Nonagon=Inradius of Nonagon*(1+sec(pi/9))OpenImg
Can the Height of Nonagon given Perimeter be negative?
No, the Height of Nonagon given Perimeter, measured in Length cannot be negative.
Which unit is used to measure Height of Nonagon given Perimeter?
Height of Nonagon given Perimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Nonagon given Perimeter can be measured.
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