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*(rc*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*(rc*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)

Credits

Creator Image
Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verifier Image
Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1700+ more calculators!

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*(rc*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 (rc) 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*(rc*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 (rc). 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)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!