Inradius 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 Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.ⓘ Inradius of Hendecagon given Area [r_i]

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Inradius of Hendecagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11))
r_i = sqrt(A*(4*tan(pi/11))/11)/(2*tan(pi/11))
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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

Inradius of Hendecagon - (Measured in Meter) - The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the 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_i = sqrt(A*(4*tan(pi/11))/11)/(2*tan(pi/11)) --> sqrt(235*(4*tan(pi/11))/11)/(2*tan(pi/11))

Evaluating ... ...

r_i = 8.52982202275679

STEP 3: Convert Result to Output's Unit

8.52982202275679 Meter --> No Conversion Required

FINAL ANSWER

8.52982202275679 ≈ 8.529822 Meter <-- Inradius of Hendecagon

(Calculation completed in 00.004 seconds)

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< Inradius of Hendecagon Calculators

Inradius of Hendecagon given Area

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

Inradius of Hendecagon given Height

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

Inradius of Hendecagon given Perimeter

LaTeX Go Inradius of Hendecagon = (Perimeter of Hendecagon)/(22*tan(pi/11))

Inradius of Hendecagon

LaTeX Go Inradius of Hendecagon = Side of Hendecagon/(2*tan(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)

Inradius of Hendecagon given Area Formula

LaTeX Go

Inradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11))
r_i = sqrt(A*(4*tan(pi/11))/11)/(2*tan(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 Inradius of Hendecagon given Area?

Inradius of Hendecagon given Area calculator uses Inradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11)) to calculate the Inradius of Hendecagon, Inradius of Hendecagon given Area formula is defined as the straight line connecting the incenter of the Hendecagon and any point on the circle that touches all edges of the Hendecagon, calculated using the area. Inradius of Hendecagon is denoted by r_i symbol.

How to calculate Inradius of Hendecagon given Area using this online calculator? To use this online calculator for Inradius of Hendecagon given Area, enter Area of Hendecagon (A) and hit the calculate button. Here is how the Inradius of Hendecagon given Area calculation can be explained with given input values -> 8.529822 = sqrt(235*(4*tan(pi/11))/11)/(2*tan(pi/11)).

FAQ

What is Inradius of Hendecagon given Area?

Inradius of Hendecagon given Area formula is defined as the straight line connecting the incenter of the Hendecagon and any point on the circle that touches all edges of the Hendecagon, calculated using the area and is represented as r_i = sqrt(A*(4*tan(pi/11))/11)/(2*tan(pi/11)) or Inradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11)). Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.

How to calculate Inradius of Hendecagon given Area?

Inradius of Hendecagon given Area formula is defined as the straight line connecting the incenter of the Hendecagon and any point on the circle that touches all edges of the Hendecagon, calculated using the area is calculated using Inradius of Hendecagon = sqrt(Area of Hendecagon*(4*tan(pi/11))/11)/(2*tan(pi/11)). To calculate Inradius 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 Inradius of Hendecagon?

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

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

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