Area of Hendecagon given Circumradius Calculator

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

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

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Area of Hendecagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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)

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Circumradius of Hendecagon: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 11*(r_c*sin(pi/11))^2/(tan(pi/11)) --> 11*(9*sin(pi/11))^2/(tan(pi/11))

Evaluating ... ...

A = 240.855484176469

STEP 3: Convert Result to Output's Unit

240.855484176469 Square Meter --> No Conversion Required

FINAL ANSWER

240.855484176469 ≈ 240.8555 Square Meter <-- Area of Hendecagon

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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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 Circumradius Formula

LaTeX Go

Area of Hendecagon = 11*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11))
A = 11*(r_c*sin(pi/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 Area of Hendecagon given Circumradius?

Area of Hendecagon given Circumradius calculator uses Area of Hendecagon = 11*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11)) to calculate the Area of Hendecagon, The Area of Hendecagon given Circumradius formula is defined as the amount of space covered by or occupied by Hendecagon in the plane, calculated using circumradius. Area of Hendecagon is denoted by A symbol.

How to calculate Area of Hendecagon given Circumradius using this online calculator? To use this online calculator for Area of Hendecagon given Circumradius, enter Circumradius of Hendecagon (r_c) and hit the calculate button. Here is how the Area of Hendecagon given Circumradius calculation can be explained with given input values -> 240.8555 = 11*(9*sin(pi/11))^2/(tan(pi/11)).

FAQ

What is Area of Hendecagon given Circumradius?

The Area of Hendecagon given Circumradius formula is defined as the amount of space covered by or occupied by Hendecagon in the plane, calculated using circumradius and is represented as A = 11*(r_c*sin(pi/11))^2/(tan(pi/11)) or Area of Hendecagon = 11*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11)). The Circumradius of Hendecagon is the radius of a circumcircle touching each of the vertices of Hendecagon.

How to calculate Area of Hendecagon given Circumradius?

The Area of Hendecagon given Circumradius formula is defined as the amount of space covered by or occupied by Hendecagon in the plane, calculated using circumradius is calculated using Area of Hendecagon = 11*(Circumradius of Hendecagon*sin(pi/11))^2/(tan(pi/11)). To calculate Area of Hendecagon given Circumradius, you need Circumradius of Hendecagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius of Hendecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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