Diagonal of Hendecagon across Three Sides given Area Calculator

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

+10%

-10%

✖Diagonal across Three Sides of Hendecagon is a straight line joining two non-adjacent sides across three sides of the Hendecagon.ⓘ Diagonal of Hendecagon across Three Sides given Area [d₃]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 2D Geometry Formula PDF PDF Image

Diagonal of Hendecagon across Three Sides given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Three Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11)
d₃ = sqrt((4*A*tan(pi/11))/11)*sin((3*pi)/11)/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

Diagonal across Three Sides of Hendecagon - (Measured in Meter) - Diagonal across Three Sides of Hendecagon is a straight line joining two non-adjacent sides across three sides of 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

d₃ = sqrt((4*A*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11) --> sqrt((4*235*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11)

Evaluating ... ...

d₃ = 13.4371163526749

STEP 3: Convert Result to Output's Unit

13.4371163526749 Meter --> No Conversion Required

FINAL ANSWER

13.4371163526749 ≈ 13.43712 Meter <-- Diagonal across Three Sides of Hendecagon

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Hendecagon » Diagonal of Hendecagon » Diagonal of Hendecagon across Three sides » Diagonal of Hendecagon across Three Sides given Area

Credits

Created by prachi gami

NATIONAL INSTITUTE OF ENGINEERING (nie), mysore

prachi gami has created this Calculator and 200+ more calculators!

Verified by Jaseem K

IIT Madras (IIT Madras), Chennai

Jaseem K has verified this Calculator and 100+ more calculators!

< Diagonal of Hendecagon across Three sides Calculators

Diagonal of Hendecagon across Three Sides given Area

LaTeX Go Diagonal across Three Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11)

Diagonal of Hendecagon across Three Sides given Height

LaTeX Go Diagonal across Three Sides of Hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((3*pi)/11)/sin(pi/11)

Diagonal of Hendecagon across Three Sides given Perimeter

LaTeX Go Diagonal across Three Sides of Hendecagon = Perimeter of Hendecagon/11*sin((3*pi)/11)/sin(pi/11)

Diagonal of Hendecagon across Three Sides

LaTeX Go Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11)

Diagonal of Hendecagon across Three Sides given Area Formula

LaTeX Go

Diagonal across Three Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11)
d₃ = sqrt((4*A*tan(pi/11))/11)*sin((3*pi)/11)/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 Diagonal of Hendecagon across Three Sides given Area?

Diagonal of Hendecagon across Three Sides given Area calculator uses Diagonal across Three Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11) to calculate the Diagonal across Three Sides of Hendecagon, The Diagonal of Hendecagon across Three Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across three sides of Hendecagon, calculated using area. Diagonal across Three Sides of Hendecagon is denoted by d₃ symbol.

How to calculate Diagonal of Hendecagon across Three Sides given Area using this online calculator? To use this online calculator for Diagonal of Hendecagon across Three Sides given Area, enter Area of Hendecagon (A) and hit the calculate button. Here is how the Diagonal of Hendecagon across Three Sides given Area calculation can be explained with given input values -> 13.43712 = sqrt((4*235*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11).

FAQ

What is Diagonal of Hendecagon across Three Sides given Area?

The Diagonal of Hendecagon across Three Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across three sides of Hendecagon, calculated using area and is represented as d₃ = sqrt((4*A*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11) or Diagonal across Three Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11). Area of Hendecagon is the amount of 2-dimensional space occupied by the Hendecagon.

How to calculate Diagonal of Hendecagon across Three Sides given Area?

The Diagonal of Hendecagon across Three Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across three sides of Hendecagon, calculated using area is calculated using Diagonal across Three Sides of Hendecagon = sqrt((4*Area of Hendecagon*tan(pi/11))/11)*sin((3*pi)/11)/sin(pi/11). To calculate Diagonal of Hendecagon across Three Sides 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 Diagonal across Three Sides of Hendecagon?

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

Diagonal across Three Sides of Hendecagon = (Side of Hendecagon*sin((3*pi)/11))/sin(pi/11)
Diagonal across Three Sides of Hendecagon = 2*tan(pi/22)*Height of Hendecagon*sin((3*pi)/11)/sin(pi/11)
Diagonal across Three Sides of Hendecagon = Perimeter of Hendecagon/11*sin((3*pi)/11)/sin(pi/11)

Home

FREE PDFs

🔍 Search