LCM calculator

Area of Nonagon Calculator

✖The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.ⓘ Side of Nonagon [S]

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

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Area of Nonagon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Nonagon = 9/4*Side of Nonagon^2*cot(pi/9)
A = 9/4*S^2*cot(pi/9)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cot - Cotangent is a trigonometric function that is defined as the ratio of the adjacent side to the opposite side in a right triangle., cot(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.
Side of Nonagon - (Measured in Meter) - The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.

STEP 1: Convert Input(s) to Base Unit

Side of Nonagon: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 9/4*S^2*cot(pi/9) --> 9/4*8^2*cot(pi/9)

Evaluating ... ...

A = 395.636748401466

STEP 3: Convert Result to Output's Unit

395.636748401466 Square Meter --> No Conversion Required

FINAL ANSWER

395.636748401466 ≈ 395.6367 Square Meter <-- Area of Nonagon

(Calculation completed in 00.004 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 Formula

LaTeX Go

Area of Nonagon = 9/4*Side of Nonagon^2*cot(pi/9)
A = 9/4*S^2*cot(pi/9)

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 Area of Nonagon?

Area of Nonagon calculator uses Area of Nonagon = 9/4*Side of Nonagon^2*cot(pi/9) to calculate the Area of Nonagon, Area of Nonagon formula is defined as the amount of 2-dimensional space occupied by Nonagon in space. Area of Nonagon is denoted by A symbol.

How to calculate Area of Nonagon using this online calculator? To use this online calculator for Area of Nonagon, enter Side of Nonagon (S) and hit the calculate button. Here is how the Area of Nonagon calculation can be explained with given input values -> 395.6367 = 9/4*8^2*cot(pi/9).

FAQ

What is Area of Nonagon?

Area of Nonagon formula is defined as the amount of 2-dimensional space occupied by Nonagon in space and is represented as A = 9/4*S^2*cot(pi/9) or Area of Nonagon = 9/4*Side of Nonagon^2*cot(pi/9). The Side of Nonagon is the length of the line segment joining two adjacent vertices of Nonagon.

How to calculate Area of Nonagon?

Area of Nonagon formula is defined as the amount of 2-dimensional space occupied by Nonagon in space is calculated using Area of Nonagon = 9/4*Side of Nonagon^2*cot(pi/9). To calculate Area of Nonagon, you need Side of Nonagon (S). With our tool, you need to enter the respective value for Side 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 Side 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 = (((3*sin(pi/9)*Height of Nonagon)/(1+cos(pi/9)))^2)/(tan(pi/9))
Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9)

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