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Walchand College of Engineering (WCE), Sangli
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Area of Nonagon given side Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (9/4)*(Side)^2*cot(pi/9)
A = (9/4)*(S)^2*cot(pi/9)
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cot - Trigonometric cotangent function, cot(Angle)
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (9/4)*(S)^2*cot(pi/9) --> (9/4)*(9)^2*cot(pi/9)
Evaluating ... ...
A = 500.727759695605
STEP 3: Convert Result to Output's Unit
500.727759695605 Square Meter --> No Conversion Required
FINAL ANSWER
500.727759695605 Square Meter <-- Area
(Calculation completed in 00.016 seconds)

5 Area of Nonagon Calculators

Area of Nonagon given height
area = (9*Height*sin(2*pi/9))/(2*(1+sin(pi/9)*tan(pi/9))) Go
Area of Nonagon given inradius
area = (9*Inradius*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9)) Go
Area of Nonagon given circumradius
area = (9/2)*(Circumradius)*sin(2*pi/9) Go
Area of Nonagon given perimeter
area = ((Perimeter)^2*cot(pi/9))/36 Go
Area of Nonagon given side
area = (9/4)*(Side)^2*cot(pi/9) Go

Area of Nonagon given side Formula

area = (9/4)*(Side)^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 given side?

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

How to calculate Area of Nonagon given side using this online calculator? To use this online calculator for Area of Nonagon given side, enter Side (S) and hit the calculate button. Here is how the Area of Nonagon given side calculation can be explained with given input values -> 500.7278 = (9/4)*(9)^2*cot(pi/9).

FAQ

What is Area of Nonagon given side?
Area of Nonagon given side of nonagon formula is defined as space or amount occupied by nonagon in space and is represented as A = (9/4)*(S)^2*cot(pi/9) or area = (9/4)*(Side)^2*cot(pi/9). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Area of Nonagon given side?
Area of Nonagon given side of nonagon formula is defined as space or amount occupied by nonagon in space is calculated using area = (9/4)*(Side)^2*cot(pi/9). To calculate Area of Nonagon given side, you need Side (S). With our tool, you need to enter the respective value for Side 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?
In this formula, Area uses Side. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • area = (9/2)*(Circumradius)*sin(2*pi/9)
  • area = (9*Height*sin(2*pi/9))/(2*(1+sin(pi/9)*tan(pi/9)))
  • area = (9*Inradius*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9))
  • area = ((Perimeter)^2*cot(pi/9))/36
  • area = (9/4)*(Side)^2*cot(pi/9)
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