Area of Nonagon given Perimeter Calculator

✖Perimeter of Nonagon is the total distance around the edge of the Nonagon.ⓘ Perimeter of Nonagon [P]

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

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Area of Nonagon given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36
A = (P^2*cot(pi/9))/36
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.
Perimeter of Nonagon - (Measured in Meter) - Perimeter of Nonagon is the total distance around the edge of the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Nonagon: 70 Meter --> 70 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (P^2*cot(pi/9))/36 --> (70^2*cot(pi/9))/36

Evaluating ... ...

A = 373.962204314657

STEP 3: Convert Result to Output's Unit

373.962204314657 Square Meter --> No Conversion Required

FINAL ANSWER

373.962204314657 ≈ 373.9622 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 given Perimeter Formula

LaTeX Go

Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36
A = (P^2*cot(pi/9))/36

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 Perimeter?

Area of Nonagon given Perimeter calculator uses Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36 to calculate the Area of Nonagon, Area of Nonagon given Perimeter formula is defined as amount or quantity of space occupied by Nonagon in given plane, calculated using perimeter. Area of Nonagon is denoted by A symbol.

How to calculate Area of Nonagon given Perimeter using this online calculator? To use this online calculator for Area of Nonagon given Perimeter, enter Perimeter of Nonagon (P) and hit the calculate button. Here is how the Area of Nonagon given Perimeter calculation can be explained with given input values -> 373.9622 = (70^2*cot(pi/9))/36.

FAQ

What is Area of Nonagon given Perimeter?

Area of Nonagon given Perimeter formula is defined as amount or quantity of space occupied by Nonagon in given plane, calculated using perimeter and is represented as A = (P^2*cot(pi/9))/36 or Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36. Perimeter of Nonagon is the total distance around the edge of the Nonagon.

How to calculate Area of Nonagon given Perimeter?

Area of Nonagon given Perimeter formula is defined as amount or quantity of space occupied by Nonagon in given plane, calculated using perimeter is calculated using Area of Nonagon = (Perimeter of Nonagon^2*cot(pi/9))/36. To calculate Area of Nonagon given Perimeter, you need Perimeter of Nonagon (P). With our tool, you need to enter the respective value for Perimeter 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 Perimeter 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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