Circumradius of Hendecagon given Area Calculator

✖Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.ⓘ Area of Hendecagon [A]

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✖The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.ⓘ Circumradius of Hendecagon given Area [r_c]

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Circumradius of Hendecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11))
r_c = sqrt(A*(4*tan(pi/11))/11)/(2*sin(pi/11))
This formula uses 1 Constants, 3 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., 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., 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., sqrt(Number)

Variables Used

Circumradius of Hendecagon - (Measured in Meter) - The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.
Area of Hendecagon - (Measured in Square Meter) - Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.

STEP 1: Convert Input(s) to Base Unit

Area of Hendecagon: 235 Square Meter --> 235 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(A*(4*tan(pi/11))/11)/(2*sin(pi/11)) --> sqrt(235*(4*tan(pi/11))/11)/(2*sin(pi/11))

Evaluating ... ...

r_c = 8.88992651048206

STEP 3: Convert Result to Output's Unit

8.88992651048206 Meter --> No Conversion Required

FINAL ANSWER

8.88992651048206 ≈ 8.889927 Meter <-- Circumradius of Hendecagon

(Calculation completed in 00.020 seconds)

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< Circumradius of Hendecagon Calculators

Circumradius of Hendecagon given Area

LaTeX Go Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11))

Circumradius of Hendecagon given Height

LaTeX Go Circumradius of Hendecagon = (Height of Hendecagon*tan(pi/22))/(sin(pi/11))

Circumradius of Hendecagon given Perimeter

LaTeX Go Circumradius of Hendecagon = (Perimeter of Hendecagon)/(22*sin(pi/11))

Circumradius of Hendecagon

LaTeX Go Circumradius of Hendecagon = (Side of Hendecagon)/(2*sin(pi/11))

< Important Formulas of Hendecagon Calculators

Diagonal of Hendecagon across Five Sides

LaTeX Go Diagonal across Five Sides of Hendecagon = (Side of Hendecagon*sin((5*pi)/11))/sin(pi/11)

Area of Hendecagon given Height

LaTeX Go Area of Hendecagon = 11*(Height of Hendecagon*tan(pi/22))^2/tan(pi/11)

Area of Hendecagon given Perimeter

LaTeX Go Area of Hendecagon = Perimeter of Hendecagon^2/(44*tan(pi/11))

Area of Hendecagon

LaTeX Go Area of Hendecagon = 11/4*Side of Hendecagon^2/tan(pi/11)

Circumradius of Hendecagon given Area Formula

LaTeX Go

Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11))
r_c = sqrt(A*(4*tan(pi/11))/11)/(2*sin(pi/11))

What is Hendecagon?

A Hendecagon is an 11-sided polygon, also variously known as an undecagon or unidecagon. The term "hendecagon" is preferable to the other two since it uses the Greek prefix and suffix instead of mixing a Roman prefix and Greek suffix. A Hendecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular Hendecagon.

How to Calculate Circumradius of Hendecagon given Area?

Circumradius of Hendecagon given Area calculator uses Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11)) to calculate 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 calculate Circumradius of Hendecagon given Area using this online calculator? To use this online calculator for Circumradius of Hendecagon given Area, enter Area of Hendecagon (A) and hit the calculate button. Here is how the Circumradius of Hendecagon given Area calculation can be explained with given input values -> 8.889927 = sqrt(235*(4*tan(pi/11))/11)/(2*sin(pi/11)).

FAQ

What is Circumradius of Hendecagon given Area?

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 and is represented as r_c = sqrt(A*(4*tan(pi/11))/11)/(2*sin(pi/11)) or Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11)). Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.

How to calculate Circumradius of Hendecagon given Area?

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 is calculated using Circumradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*sin(pi/11)). To calculate Circumradius of Hendecagon given Area, you need Area of Hendecagon (A). With our tool, you need to enter the respective value for Area of Hendecagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Circumradius of Hendecagon?

In this formula, Circumradius of Hendecagon uses Area of Hendecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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