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Height of Nonagon given Inradius Formula

GoHeight of Nonagon Formula

GoHeight of Nonagon given Area Formula

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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 = r i \cdot (1 + \sec (\frac{π}{9}))

h - Height of Nonagon?r_i - Inradius of Nonagon?π - Archimedes' constant?

Height of Nonagon given Inradius Example

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Here is how the Height of Nonagon given Inradius equation looks like with Values.

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

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

22.706 = 11 \cdot (1 + \sec (\frac{3.1416}{9}))

22.706m = 11m \cdot (1 + \sec (\frac{3.1416}{9}))

22.706 = 11 \cdot (1 + \sec (\frac{3.1416}{9}))

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Height of Nonagon given Inradius Solution

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

FIRST Step Consider the formula

h = r i \cdot (1 + \sec (\frac{π}{9}))

Next Step Substitute values of Variables

∴

h = 11m \cdot (1 + \sec (\frac{π}{9}))

Next Step Substitute values of Constants

∴

h = 11m \cdot (1 + \sec (\frac{3.1416}{9}))

Next Step Prepare to Evaluate

∴

h = 11 \cdot (1 + \sec (\frac{3.1416}{9}))

Next Step Evaluate

∴

h = 22.705955497235m

LAST Step Rounding Answer

∴

h = 22.706m

Height of Nonagon given Inradius 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.

Formulas to find Height of Nonagon

Inradius of Nonagon

Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Nonagon

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

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

Other Formulas to find Height of Nonagon

Go Height of Nonagon

h = r c + r i

Go Height of Nonagon given Area

h = (\frac{1 + \cos (\frac{π}{9})}{3 \cdot \sin (\frac{π}{9})}) \cdot \sqrt{A \cdot (\tan (\frac{π}{9}))}

Go Height of Nonagon given Side

h = (\frac{1 + \cos (\frac{π}{9})}{2 \cdot \sin (\frac{π}{9})}) \cdot S

Go Height of Nonagon given Circumradius

h = r c \cdot (1 + \cos (\frac{π}{9}))

How to Evaluate Height of Nonagon given Inradius?

Height of Nonagon given Inradius evaluator uses Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9)) to evaluate the Height of Nonagon, Height of Nonagon given Inradius formula is defined as a perpendicular line connecting apex and a point on opposite side of Nonagon, calculated using inradius. Height of Nonagon is denoted by h symbol.

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

FAQs on Height of Nonagon given Inradius

What is the formula to find Height of Nonagon given Inradius?

The formula of Height of Nonagon given Inradius is expressed as Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9)). Here is an example- 22.70596 = 11*(1+sec(pi/9)).

How to calculate Height of Nonagon given Inradius?

With Inradius of Nonagon (r_i) we can find Height of Nonagon given Inradius using the formula - Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9)). This formula also uses Archimedes' constant and Secant (sec) 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 Nonagon
Height of Nonagon=((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))
Height of Nonagon=((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon

Can the Height of Nonagon given Inradius be negative?

No, the Height of Nonagon given Inradius, measured in Length cannot be negative.

Which unit is used to measure Height of Nonagon given Inradius?

Height of Nonagon given Inradius 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 Inradius can be measured.

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