Area of Nonagon 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 Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.ⓘ Area of Nonagon given Height [A]

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Area of Nonagon given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Nonagon = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9))
A = (((3*sin(pi/9)*h)/(1+cos(pi/9)))^2)/(tan(pi/9))
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)
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

Area of Nonagon - (Measured in Square Meter) - The Area of Nonagon is the amount of two-dimensional space taken up by 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

A = (((3*sin(pi/9)*h)/(1+cos(pi/9)))^2)/(tan(pi/9)) --> (((3*sin(pi/9)*22)/(1+cos(pi/9)))^2)/(tan(pi/9))

Evaluating ... ...

A = 372.099892852149

STEP 3: Convert Result to Output's Unit

372.099892852149 Square Meter --> No Conversion Required

FINAL ANSWER

372.099892852149 ≈ 372.0999 Square Meter <-- Area of Nonagon

(Calculation completed in 00.007 seconds)

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< Area of Nonagon Calculators

Area of Nonagon given Height

LaTeX Go Area of Nonagon = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9))

Area of Nonagon given Circumradius

LaTeX Go Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9)

Area of Nonagon given Perimeter

LaTeX Go Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36

Area of Nonagon given Inradius

LaTeX Go Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9)

< Area of Nonagon Calculators

Area of Nonagon given Height

LaTeX Go Area of Nonagon = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9))

Area of Nonagon given Perimeter

LaTeX Go Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36

Area of Nonagon given Inradius

LaTeX Go Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9)

Area of Nonagon

LaTeX Go Area of Nonagon = 9/4*Side of Nonagon^2*cot(pi/9)

Area of Nonagon given Height Formula

LaTeX Go

Area of Nonagon = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9))
A = (((3*sin(pi/9)*h)/(1+cos(pi/9)))^2)/(tan(pi/9))

What is a 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 Area of Nonagon given Height?

Area of Nonagon given Height calculator uses Area of Nonagon = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9)) to calculate the Area of Nonagon, Area of Nonagon given Height formula is defined as amount or quantity of space occupied by Nonagon in a plane, calculated using height. Area of Nonagon is denoted by A symbol.

How to calculate Area of Nonagon given Height using this online calculator? To use this online calculator for Area of Nonagon given Height, enter Height of Nonagon (h) and hit the calculate button. Here is how the Area of Nonagon given Height calculation can be explained with given input values -> 372.0999 = (((3*sin(pi/9)*22)/(1+cos(pi/9)))^2)/(tan(pi/9)).

FAQ

What is Area of Nonagon given Height?

Area of Nonagon given Height formula is defined as amount or quantity of space occupied by Nonagon in a plane, calculated using height and is represented as A = (((3*sin(pi/9)*h)/(1+cos(pi/9)))^2)/(tan(pi/9)) or Area of Nonagon = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9)). Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Area of Nonagon given Height?

Area of Nonagon given Height formula is defined as amount or quantity of space occupied by Nonagon in a plane, calculated using height is calculated using Area of Nonagon = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9)). To calculate Area of Nonagon 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 Area of Nonagon?

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

Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9)
Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9)
Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36

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