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Height of Hendecagon given Inradius Formula

GoHeight of Hendecagon given Circumradius Formula

GoHeight of Hendecagon given Perimeter Formula

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Height of Hendecagon is the length of a perpendicular line drawn from one vertex to the opposite side. Check FAQs

h = \frac{r i \cdot \tan (\frac{π}{11})}{\tan (\frac{π}{22})}

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

Height of Hendecagon given Inradius Example

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

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

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

16.3377 = \frac{8 \cdot \tan (\frac{3.1416}{11})}{\tan (\frac{3.1416}{22})}

16.3377m = \frac{8m \cdot \tan (\frac{3.1416}{11})}{\tan (\frac{3.1416}{22})}

16.3377 = \frac{8 \cdot \tan (\frac{3.1416}{11})}{\tan (\frac{3.1416}{22})}

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Height of Hendecagon given Inradius Solution

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

FIRST Step Consider the formula

h = \frac{r i \cdot \tan (\frac{π}{11})}{\tan (\frac{π}{22})}

Next Step Substitute values of Variables

∴

h = \frac{8m \cdot \tan (\frac{π}{11})}{\tan (\frac{π}{22})}

Next Step Substitute values of Constants

∴

h = \frac{8m \cdot \tan (\frac{3.1416}{11})}{\tan (\frac{3.1416}{22})}

Next Step Prepare to Evaluate

∴

h = \frac{8 \cdot \tan (\frac{3.1416}{11})}{\tan (\frac{3.1416}{22})}

Next Step Evaluate

∴

h = 16.3377369298112m

LAST Step Rounding Answer

∴

h = 16.3377m

Height of Hendecagon given Inradius Formula Elements

Variables

Constants

Functions

Height of Hendecagon

Height of Hendecagon 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 Hendecagon

Inradius of Hendecagon

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

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Hendecagon

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 Hendecagon

Go Height of Hendecagon given Circumradius

h = \frac{r c \cdot \sin (\frac{π}{11})}{\tan (\frac{π}{22})}

Go Height of Hendecagon given Perimeter

h = \frac{P}{22 \cdot \tan (\frac{π}{22})}

Go Height of Hendecagon

h = \frac{S}{2 \cdot \tan (\frac{π}{22})}

Go Height of Hendecagon given Area

h = \frac{\sqrt{A \cdot \frac{4 \cdot \tan (\frac{π}{11})}{11}}}{2 \cdot \tan (\frac{π}{22})}

How to Evaluate Height of Hendecagon given Inradius?

Height of Hendecagon given Inradius evaluator uses Height of Hendecagon = (Inradius of Hendecagon*tan(pi/11))/tan(pi/22) to evaluate the Height of Hendecagon, Height of Hendecagon given Inradius formula is defined as the length of a perpendicular line drawn from one vertex to the opposite side of the Hendecagon, calculated using inradius. Height of Hendecagon is denoted by h symbol.

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

FAQs on Height of Hendecagon given Inradius

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

The formula of Height of Hendecagon given Inradius is expressed as Height of Hendecagon = (Inradius of Hendecagon*tan(pi/11))/tan(pi/22). Here is an example- 16.33774 = (8*tan(pi/11))/tan(pi/22).

How to calculate Height of Hendecagon given Inradius?

With Inradius of Hendecagon (r_i) we can find Height of Hendecagon given Inradius using the formula - Height of Hendecagon = (Inradius of Hendecagon*tan(pi/11))/tan(pi/22). This formula also uses Archimedes' constant and Tangent (tan) function(s).

What are the other ways to Calculate Height of Hendecagon?

Here are the different ways to Calculate Height of Hendecagon-

Height of Hendecagon=(Circumradius of Hendecagon*sin(pi/11))/(tan(pi/22))
Height of Hendecagon=Perimeter of Hendecagon/(22*tan(pi/22))
Height of Hendecagon=Side of Hendecagon/(2*tan(pi/22))

Can the Height of Hendecagon given Inradius be negative?

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

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

Height of Hendecagon 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 Hendecagon given Inradius can be measured.

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