Diagonal of Nonagon across Two Sides given Height Calculator

✖Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Nonagon [h]

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✖The Diagonal across Two Sides of Nonagon is the straight line joining two non-adjacent vertices which are across two sides of the Nonagon.ⓘ Diagonal of Nonagon across Two Sides given Height [d₂]

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Diagonal of Nonagon across Two Sides given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal across Two Sides of Nonagon = 4*Height of Nonagon*cos(pi/9)*tan(pi/18)
d₂ = 4*h*cos(pi/9)*tan(pi/18)
This formula uses 1 Constants, 2 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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

Diagonal across Two Sides of Nonagon - (Measured in Meter) - The Diagonal across Two Sides of Nonagon is the straight line joining two non-adjacent vertices which are across two sides of the Nonagon.
Height of Nonagon - (Measured in Meter) - Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Height of Nonagon: 22 Meter --> 22 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₂ = 4*h*cos(pi/9)*tan(pi/18) --> 4*22*cos(pi/9)*tan(pi/18)

Evaluating ... ...

d₂ = 14.5809983103139

STEP 3: Convert Result to Output's Unit

14.5809983103139 Meter --> No Conversion Required

FINAL ANSWER

14.5809983103139 ≈ 14.581 Meter <-- Diagonal across Two Sides of Nonagon

(Calculation completed in 00.004 seconds)

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< Diagonal of Nonagon across Two Sides Calculators

Diagonal of Nonagon across Two Sides given Perimeter

LaTeX Go Diagonal across Two Sides of Nonagon = Perimeter of Nonagon/9*(sin(2*pi/9)/sin(pi/9))

Diagonal of Nonagon across Two Sides

LaTeX Go Diagonal across Two Sides of Nonagon = Side of Nonagon*(sin(2*pi/9)/sin(pi/9))

Diagonal of Nonagon across Two Sides given Area

LaTeX Go Diagonal across Two Sides of Nonagon = sqrt(8*Area of Nonagon*sin(2*pi/9)/9)

Diagonal of Nonagon across Two Sides given Circumradius

LaTeX Go Diagonal across Two Sides of Nonagon = 2*Circumradius of Nonagon*sin(2*pi/9)

Diagonal of Nonagon across Two Sides given Height Formula

LaTeX Go

Diagonal across Two Sides of Nonagon = 4*Height of Nonagon*cos(pi/9)*tan(pi/18)
d₂ = 4*h*cos(pi/9)*tan(pi/18)

What is Nonagon?

A Nonagon is a polygon with nine sides and nine angles. The term ‘nonagon’ is a hybrid of the Latin word ‘nonus’ meaning nine and the Greek word ‘gon’ meaning sides. It is also known as ‘enneagon’, derived from the Greek word ‘enneagonon’, also meaning nine.

How to Calculate Diagonal of Nonagon across Two Sides given Height?

Diagonal of Nonagon across Two Sides given Height calculator uses Diagonal across Two Sides of Nonagon = 4*Height of Nonagon*cos(pi/9)*tan(pi/18) to calculate the Diagonal across Two Sides of Nonagon, The Diagonal of Nonagon across Two Sides given Height formula is defined as a straight line connecting two vertices across two sides of Nonagon, calculated using height. Diagonal across Two Sides of Nonagon is denoted by d₂ symbol.

How to calculate Diagonal of Nonagon across Two Sides given Height using this online calculator? To use this online calculator for Diagonal of Nonagon across Two Sides given Height, enter Height of Nonagon (h) and hit the calculate button. Here is how the Diagonal of Nonagon across Two Sides given Height calculation can be explained with given input values -> 14.581 = 4*22*cos(pi/9)*tan(pi/18).

FAQ

What is Diagonal of Nonagon across Two Sides given Height?

The Diagonal of Nonagon across Two Sides given Height formula is defined as a straight line connecting two vertices across two sides of Nonagon, calculated using height and is represented as d₂ = 4*h*cos(pi/9)*tan(pi/18) or Diagonal across Two Sides of Nonagon = 4*Height of Nonagon*cos(pi/9)*tan(pi/18). Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Diagonal of Nonagon across Two Sides given Height?

The Diagonal of Nonagon across Two Sides given Height formula is defined as a straight line connecting two vertices across two sides of Nonagon, calculated using height is calculated using Diagonal across Two Sides of Nonagon = 4*Height of Nonagon*cos(pi/9)*tan(pi/18). To calculate Diagonal of Nonagon across Two Sides given Height, you need Height of Nonagon (h). With our tool, you need to enter the respective value for Height of Nonagon 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 Two Sides of Nonagon?

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

Diagonal across Two Sides of Nonagon = 2*Circumradius of Nonagon*sin(2*pi/9)
Diagonal across Two Sides of Nonagon = Perimeter of Nonagon/9*(sin(2*pi/9)/sin(pi/9))
Diagonal across Two Sides of Nonagon = Side of Nonagon*(sin(2*pi/9)/sin(pi/9))

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