Area of Nonagon given Circumradius Calculator

✖The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.ⓘ Circumradius of Nonagon [r_c]

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

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Area of Nonagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9)
A = 9/2*r_c^2*sin(2*pi/9)
This formula uses 1 Constants, 1 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)

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.
Circumradius of Nonagon - (Measured in Meter) - The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Nonagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 9/2*r_c^2*sin(2*pi/9) --> 9/2*12^2*sin(2*pi/9)

Evaluating ... ...

A = 416.526371076877

STEP 3: Convert Result to Output's Unit

416.526371076877 Square Meter --> No Conversion Required

FINAL ANSWER

416.526371076877 ≈ 416.5264 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 given Circumradius Formula

LaTeX Go

Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9)
A = 9/2*r_c^2*sin(2*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 given Circumradius?

Area of Nonagon given Circumradius calculator uses Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9) to calculate the Area of Nonagon, The Area of Nonagon given Circumradius formula is defined as the amount of 2-dimensional space or region occupied by Nonagon in space, calculated using circumradius. Area of Nonagon is denoted by A symbol.

How to calculate Area of Nonagon given Circumradius using this online calculator? To use this online calculator for Area of Nonagon given Circumradius, enter Circumradius of Nonagon (r_c) and hit the calculate button. Here is how the Area of Nonagon given Circumradius calculation can be explained with given input values -> 416.5264 = 9/2*12^2*sin(2*pi/9).

FAQ

What is Area of Nonagon given Circumradius?

The Area of Nonagon given Circumradius formula is defined as the amount of 2-dimensional space or region occupied by Nonagon in space, calculated using circumradius and is represented as A = 9/2*r_c^2*sin(2*pi/9) or Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9). The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

How to calculate Area of Nonagon given Circumradius?

The Area of Nonagon given Circumradius formula is defined as the amount of 2-dimensional space or region occupied by Nonagon in space, calculated using circumradius is calculated using Area of Nonagon = 9/2*Circumradius of Nonagon^2*sin(2*pi/9). To calculate Area of Nonagon given Circumradius, you need Circumradius of Nonagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Circumradius of Nonagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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