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Height of Nonagon given Circumradius 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 c \cdot (1 + \cos (\frac{π}{9}))

h - Height of Nonagon?r_c - Circumradius of Nonagon?π - Archimedes' constant?

Height of Nonagon given Circumradius Example

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

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

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

23.2763 = 12 \cdot (1 + \cos (\frac{3.1416}{9}))

23.2763m = 12m \cdot (1 + \cos (\frac{3.1416}{9}))

23.2763 = 12 \cdot (1 + \cos (\frac{3.1416}{9}))

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Height of Nonagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 12m \cdot (1 + \cos (\frac{π}{9}))

Next Step Substitute values of Constants

∴

h = 12m \cdot (1 + \cos (\frac{3.1416}{9}))

Next Step Prepare to Evaluate

∴

h = 12 \cdot (1 + \cos (\frac{3.1416}{9}))

Next Step Evaluate

∴

h = 23.2763114494309m

LAST Step Rounding Answer

∴

h = 23.2763m

Height of Nonagon given Circumradius 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

Circumradius of Nonagon

The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(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 Inradius

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

Go Height of Nonagon given Side

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

How to Evaluate Height of Nonagon given Circumradius?

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

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

FAQs on Height of Nonagon given Circumradius

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

The formula of Height of Nonagon given Circumradius is expressed as Height of Nonagon = Circumradius of Nonagon*(1+cos(pi/9)). Here is an example- 23.27631 = 12*(1+cos(pi/9)).

How to calculate Height of Nonagon given Circumradius?

With Circumradius of Nonagon (r_c) we can find Height of Nonagon given Circumradius using the formula - Height of Nonagon = Circumradius of Nonagon*(1+cos(pi/9)). This formula also uses Archimedes' constant and Cosine (cos) 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=Inradius of Nonagon*(1+sec(pi/9))

Can the Height of Nonagon given Circumradius be negative?

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

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

Height of Nonagon 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 Nonagon given Circumradius can be measured.

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