Area of Nonagon given Inradius Calculator

✖Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.ⓘ Inradius of Nonagon [r_i]

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

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Area of Nonagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9)
A = 9*r_i^2*tan(pi/9)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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.
Inradius of Nonagon - (Measured in Meter) - Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Inradius of Nonagon: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 9*r_i^2*tan(pi/9) --> 9*11^2*tan(pi/9)

Evaluating ... ...

A = 396.363585115894

STEP 3: Convert Result to Output's Unit

396.363585115894 Square Meter --> No Conversion Required

FINAL ANSWER

396.363585115894 ≈ 396.3636 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 Inradius Formula

LaTeX Go

Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9)
A = 9*r_i^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 Inradius?

Area of Nonagon given Inradius calculator uses Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9) to calculate the Area of Nonagon, Area of Nonagon given Inradius formula is defined as the amount of 2-dimensional space occupied by a Nonagon in a plane, calculated using inradius. Area of Nonagon is denoted by A symbol.

How to calculate Area of Nonagon given Inradius using this online calculator? To use this online calculator for Area of Nonagon given Inradius, enter Inradius of Nonagon (r_i) and hit the calculate button. Here is how the Area of Nonagon given Inradius calculation can be explained with given input values -> 396.3636 = 9*11^2*tan(pi/9).

FAQ

What is Area of Nonagon given Inradius?

Area of Nonagon given Inradius formula is defined as the amount of 2-dimensional space occupied by a Nonagon in a plane, calculated using inradius and is represented as A = 9*r_i^2*tan(pi/9) or Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9). Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.

How to calculate Area of Nonagon given Inradius?

Area of Nonagon given Inradius formula is defined as the amount of 2-dimensional space occupied by a Nonagon in a plane, calculated using inradius is calculated using Area of Nonagon = 9*Inradius of Nonagon^2*tan(pi/9). To calculate Area of Nonagon given Inradius, you need Inradius of Nonagon (r_i). With our tool, you need to enter the respective value for Inradius 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 Inradius 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 = (Perimeter of Nonagon^2*cot(pi/9))/36

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