FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Circumradius of Hendecagon Formula

GoCircumradius of Hendecagon given Area Formula

GoCircumradius of Hendecagon given Diagonal across Four Sides Formula

Fx Copy

LaTeX Copy

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

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

r_c - Circumradius of Hendecagon?S - Side of Hendecagon?π - Archimedes' constant?

Circumradius of Hendecagon Example

With values

With units

Only example

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

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

Here is how the Circumradius of Hendecagon equation looks like.

8.8737 = \frac{5}{2 \cdot \sin (\frac{3.1416}{11})}

8.8737m = \frac{5m}{2 \cdot \sin (\frac{3.1416}{11})}

8.8737 = \frac{5}{2 \cdot \sin (\frac{3.1416}{11})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

2D Geometry » fx Circumradius of Hendecagon

Circumradius of Hendecagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{5m}{2 \cdot \sin (\frac{π}{11})}

Next Step Substitute values of Constants

∴

r c = \frac{5m}{2 \cdot \sin (\frac{3.1416}{11})}

Next Step Prepare to Evaluate

∴

r c = \frac{5}{2 \cdot \sin (\frac{3.1416}{11})}

Next Step Evaluate

∴

r c = 8.87366383221056m

LAST Step Rounding Answer

∴

r c = 8.8737m

Circumradius of Hendecagon 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

Side of Hendecagon

Side of Hendecagon is the length of the line segment joining two adjacent vertices of Hendecagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side 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)

Other Formulas to find Circumradius of Hendecagon

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 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?

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

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

FAQs on Circumradius of Hendecagon

What is the formula to find Circumradius of Hendecagon?

The formula of Circumradius of Hendecagon is expressed as Circumradius of Hendecagon = (Side of Hendecagon)/(2*sin(pi/11)). Here is an example- 8.873664 = (5)/(2*sin(pi/11)).

How to calculate Circumradius of Hendecagon?

With Side of Hendecagon (S) we can find Circumradius of Hendecagon using the formula - Circumradius of Hendecagon = (Side of Hendecagon)/(2*sin(pi/11)). This formula also uses Archimedes' constant and Sine (sin) 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=sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(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 be negative?

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

Which unit is used to measure Circumradius of Hendecagon?

Circumradius of Hendecagon 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 can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit