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Perimeter of Hendecagon given Inradius Formula

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GoPerimeter of Hendecagon given Area Formula

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Perimeter of Hendecagon is the total distance around the edge of the Hendecagon. Check FAQs

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

P - Perimeter of Hendecagon?r_i - Inradius of Hendecagon?π - Archimedes' constant?

Perimeter of Hendecagon given Inradius Example

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

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

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

51.6783 = 22 \cdot 8 \cdot \tan (\frac{3.1416}{11})

51.6783m = 22 \cdot 8m \cdot \tan (\frac{3.1416}{11})

51.6783 = 22 \cdot 8 \cdot \tan (\frac{3.1416}{11})

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Perimeter of Hendecagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

P = 51.6782627571525m

LAST Step Rounding Answer

∴

P = 51.6783m

Perimeter of Hendecagon given Inradius Formula Elements

Variables

Constants

Functions

Perimeter of Hendecagon

Perimeter of Hendecagon is the total distance around the edge of the Hendecagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Perimeter of Hendecagon

Go Perimeter of Hendecagon

P = 11 \cdot S

Go Perimeter of Hendecagon given Area

P = 11 \cdot \sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{11})}{11}}

Go Perimeter of Hendecagon given Circumradius

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

Go Perimeter of Hendecagon given Height

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

How to Evaluate Perimeter of Hendecagon given Inradius?

Perimeter of Hendecagon given Inradius evaluator uses Perimeter of Hendecagon = 22*Inradius of Hendecagon*tan(pi/11) to evaluate the Perimeter of Hendecagon, The Perimeter of Hendecagon given Inradius formula is defined as the total distance around the edge of the Hendecagon, calculated using inradius. Perimeter of Hendecagon is denoted by P symbol.

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

FAQs on Perimeter of Hendecagon given Inradius

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

The formula of Perimeter of Hendecagon given Inradius is expressed as Perimeter of Hendecagon = 22*Inradius of Hendecagon*tan(pi/11). Here is an example- 51.67826 = 22*8*tan(pi/11).

How to calculate Perimeter of Hendecagon given Inradius?

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

What are the other ways to Calculate Perimeter of Hendecagon?

Here are the different ways to Calculate Perimeter of Hendecagon-

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

Can the Perimeter of Hendecagon given Inradius be negative?

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

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

Perimeter 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 Perimeter of Hendecagon given Inradius can be measured.

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