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Circumradius of Hendecagon given Height Formula

GoCircumradius of Hendecagon Formula

GoCircumradius of Hendecagon given Perimeter Formula

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The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon. Check FAQs

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

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

Circumradius of Hendecagon given Height Example

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

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

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

8.6757 = \frac{17 \cdot \tan (\frac{3.1416}{22})}{\sin (\frac{3.1416}{11})}

8.6757m = \frac{17m \cdot \tan (\frac{3.1416}{22})}{\sin (\frac{3.1416}{11})}

8.6757 = \frac{17 \cdot \tan (\frac{3.1416}{22})}{\sin (\frac{3.1416}{11})}

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Circumradius of Hendecagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r c = 8.67571368150489m

LAST Step Rounding Answer

∴

r c = 8.6757m

Circumradius of Hendecagon given Height Formula Elements

Variables

Constants

Functions

Circumradius of Hendecagon

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Circumradius of Hendecagon

Go Circumradius of Hendecagon

r c = \frac{S}{2 \cdot \sin (\frac{π}{11})}

Go Circumradius of Hendecagon given Perimeter

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

Go Circumradius of Hendecagon given Area

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

Go Circumradius of Hendecagon given Inradius

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

How to Evaluate Circumradius of Hendecagon given Height?

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

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

FAQs on Circumradius of Hendecagon given Height

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

The formula of Circumradius of Hendecagon given Height is expressed as Circumradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(sin(pi/11)). Here is an example- 8.675714 = (17*tan(pi/22))/(sin(pi/11)).

How to calculate Circumradius of Hendecagon given Height?

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

What are the other ways to Calculate Circumradius of Hendecagon?

Here are the different ways to Calculate Circumradius of Hendecagon-

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

Can the Circumradius of Hendecagon given Height be negative?

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

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

Circumradius 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 Circumradius of Hendecagon given Height can be measured.

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