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Circumradius of Hendecagon given Area Formula

GoCircumradius of Hendecagon Formula

GoCircumradius of Hendecagon given Diagonal across Four Sides 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{\sqrt{A \cdot \frac{4 \cdot \tan (\frac{π}{11})}{11}}}{2 \cdot \sin (\frac{π}{11})}

r_c - Circumradius of Hendecagon?A - Area of Hendecagon?π - Archimedes' constant?

Circumradius of Hendecagon given Area Example

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

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

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

8.8899 = \frac{\sqrt{235 \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \sin (\frac{3.1416}{11})}

8.8899m = \frac{\sqrt{235m² \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \sin (\frac{3.1416}{11})}

8.8899 = \frac{\sqrt{235 \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \sin (\frac{3.1416}{11})}

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Circumradius of Hendecagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{235m² \cdot \frac{4 \cdot \tan (\frac{π}{11})}{11}}}{2 \cdot \sin (\frac{π}{11})}

Next Step Substitute values of Constants

∴

r c = \frac{\sqrt{235m² \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \sin (\frac{3.1416}{11})}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{235 \cdot \frac{4 \cdot \tan (\frac{3.1416}{11})}{11}}}{2 \cdot \sin (\frac{3.1416}{11})}

Next Step Evaluate

∴

r c = 8.88992651048206m

LAST Step Rounding Answer

∴

r c = 8.8899m

Circumradius of Hendecagon given Area 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

Area of Hendecagon

Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Diagonal across Four Sides

r c = \frac{d 4}{2 \cdot \sin (\frac{4 \cdot π}{11})}

Go Circumradius of Hendecagon given Diagonal across Two Sides

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

Go Circumradius of Hendecagon given Inradius

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

Other formulas in Circumradius of Hendecagon category

Go Area of Hendecagon

A = \frac{11}{4} \cdot \frac{S^{2}}{\tan (\frac{π}{11})}

Go Area of Hendecagon given Height

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

Go Area of Hendecagon given Perimeter

A = \frac{P^{2}}{44 \cdot \tan (\frac{π}{11})}

Go Diagonal of Hendecagon across Five Sides

d 5 = \frac{S \cdot \sin (\frac{5 \cdot π}{11})}{\sin (\frac{π}{11})}

How to Evaluate Circumradius of Hendecagon given Area?

Circumradius of Hendecagon given Area evaluator uses Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11)) to evaluate the Circumradius of Hendecagon, Circumradius of Hendecagon given Area formula is defined as the straight line connecting the circumcenter and any point on the circle that touches all vertices of Hendecagon, calculated using area. Circumradius of Hendecagon is denoted by r_c symbol.

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

FAQs on Circumradius of Hendecagon given Area

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

The formula of Circumradius of Hendecagon given Area is expressed as Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11)). Here is an example- 8.889927 = sqrt(235*(4*tan(pi/11))/11)/(2*sin(pi/11)).

How to calculate Circumradius of Hendecagon given Area?

With Area of Hendecagon (A) we can find Circumradius of Hendecagon given Area using the formula - Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11)). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan), Square Root (sqrt) 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=Diagonal across Four Sides of Hendecagon/(2*sin((4*pi)/11))
Circumradius of Hendecagon=Diagonal across Two Sides of Hendecagon/(2*sin((2*pi)/11))

Can the Circumradius of Hendecagon given Area be negative?

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

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

Circumradius of Hendecagon given Area 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 Area can be measured.

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