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Inradius of Hendecagon given Height Formula

GoInradius of Hendecagon given Perimeter Formula

GoInradius of Hendecagon Formula

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

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

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

Inradius of Hendecagon given Height Example

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

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

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

8.3243 = \frac{17 \cdot \tan (\frac{3.1416}{22})}{\tan (\frac{3.1416}{11})}

8.3243m = \frac{17m \cdot \tan (\frac{3.1416}{22})}{\tan (\frac{3.1416}{11})}

8.3243 = \frac{17 \cdot \tan (\frac{3.1416}{22})}{\tan (\frac{3.1416}{11})}

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Inradius of Hendecagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{17m \cdot \tan (\frac{π}{22})}{\tan (\frac{π}{11})}

Next Step Substitute values of Constants

∴

r i = \frac{17m \cdot \tan (\frac{3.1416}{22})}{\tan (\frac{3.1416}{11})}

Next Step Prepare to Evaluate

∴

r i = \frac{17 \cdot \tan (\frac{3.1416}{22})}{\tan (\frac{3.1416}{11})}

Next Step Evaluate

∴

r i = 8.32428631849511m

LAST Step Rounding Answer

∴

r i = 8.3243m

Inradius of Hendecagon given Height Formula Elements

Variables

Constants

Functions

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

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

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 Inradius of Hendecagon

Go Inradius of Hendecagon given Perimeter

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

Go Inradius of Hendecagon

r i = \frac{S}{2 \cdot \tan (\frac{π}{11})}

Go Inradius of Hendecagon given Area

r i = \frac{\sqrt{A \cdot \frac{4 \cdot \tan (\frac{π}{11})}{11}}}{2 \cdot \tan (\frac{π}{11})}

Go Inradius of Hendecagon given Circumradius

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

How to Evaluate Inradius of Hendecagon given Height?

Inradius of Hendecagon given Height evaluator uses Inradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(tan(pi/11)) to evaluate the Inradius of Hendecagon, The Inradius of Hendecagon given Height formula is defined as the straight line connecting the incenter and any point on the circle that touches all the edges of Hendecagon, calculated using height. Inradius of Hendecagon is denoted by r_i symbol.

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

FAQs on Inradius of Hendecagon given Height

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

The formula of Inradius of Hendecagon given Height is expressed as Inradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(tan(pi/11)). Here is an example- 8.324286 = (17*tan(pi/22))/(tan(pi/11)).

How to calculate Inradius of Hendecagon given Height?

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

What are the other ways to Calculate Inradius of Hendecagon?

Here are the different ways to Calculate Inradius of Hendecagon-

Inradius of Hendecagon=(Perimeter of Hendecagon)/(22*tan(pi/11))
Inradius of Hendecagon=Side of Hendecagon/(2*tan(pi/11))
Inradius of Hendecagon=sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11))

Can the Inradius of Hendecagon given Height be negative?

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

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

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

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