Area of Hendecagon given Inradius Calculator

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

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

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Area of Hendecagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Area of Hendecagon - (Measured in Square Meter) - Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.
Inradius of Hendecagon - (Measured in Meter) - The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Hendecagon: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 11*tan(pi/11)*r_i^2 --> 11*tan(pi/11)*8^2

Evaluating ... ...

A = 206.71305102861

STEP 3: Convert Result to Output's Unit

206.71305102861 Square Meter --> No Conversion Required

FINAL ANSWER

206.71305102861 ≈ 206.7131 Square Meter <-- Area of Hendecagon

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Area of Hendecagon Calculators

Area of Hendecagon given Diagonal across Five Sides

LaTeX Go Area of Hendecagon = 11/4*((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)

Area of Hendecagon given Diagonal across Four Sides

LaTeX Go Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)

Area of Hendecagon given Circumradius

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

Area of Hendecagon given Inradius

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

Area of Hendecagon given Inradius Formula

LaTeX Go

Area of Hendecagon = 11*tan(pi/11)*Inradius of Hendecagon^2
A = 11*tan(pi/11)*r_i^2

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 Area of Hendecagon given Inradius?

Area of Hendecagon given Inradius calculator uses Area of Hendecagon = 11*tan(pi/11)*Inradius of Hendecagon^2 to calculate the Area of Hendecagon, The Area of Hendecagon given Inradius formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using the inradius. Area of Hendecagon is denoted by A symbol.

How to calculate Area of Hendecagon given Inradius using this online calculator? To use this online calculator for Area of Hendecagon given Inradius, enter Inradius of Hendecagon (r_i) and hit the calculate button. Here is how the Area of Hendecagon given Inradius calculation can be explained with given input values -> 206.7131 = 11*tan(pi/11)*8^2.

FAQ

What is Area of Hendecagon given Inradius?

The Area of Hendecagon given Inradius formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using the inradius and is represented as A = 11*tan(pi/11)*r_i^2 or Area of Hendecagon = 11*tan(pi/11)*Inradius of Hendecagon^2. The Inradius of Hendecagon is defined as the radius of the circle which is inscribed inside the Hendecagon.

How to calculate Area of Hendecagon given Inradius?

The Area of Hendecagon given Inradius formula is defined as the amount of 2-dimensional space occupied by the Hendecagon, calculated using the inradius is calculated using Area of Hendecagon = 11*tan(pi/11)*Inradius of Hendecagon^2. To calculate Area of Hendecagon given Inradius, you need Inradius of Hendecagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Area of Hendecagon?

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

Area of Hendecagon = 11*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11))
Area of Hendecagon = 11/4*((Diagonal across Five Sides of Hendecagon*sin(pi/11))/sin((5*pi)/11))^2/tan(pi/11)
Area of Hendecagon = 11/4*((Diagonal across Four Sides of Hendecagon*sin(pi/11))/sin((4*pi)/11))^2/tan(pi/11)

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