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

STEP 0: Pre-Calculation Summary
Formula Used
area = (9/2)*(Circumradius)*sin(2*pi/9)
A = (9/2)*(rc)*sin(2*pi/9)
This formula uses 1 Constants, 1 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Circumradius - Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Circumradius: 15 Meter --> 15 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (9/2)*(rc)*sin(2*pi/9) --> (9/2)*(15)*sin(2*pi/9)
Evaluating ... ...
A = 43.3881636538414
STEP 3: Convert Result to Output's Unit
43.3881636538414 Square Meter --> No Conversion Required
FINAL ANSWER
43.3881636538414 Square Meter <-- Area
(Calculation completed in 00.017 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 circumradius Formula

area = (9/2)*(Circumradius)*sin(2*pi/9)
A = (9/2)*(rc)*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 = (9/2)*(Circumradius)*sin(2*pi/9) to calculate the Area, The Area of Nonagon given circumradius 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 circumradius using this online calculator? To use this online calculator for Area of Nonagon given circumradius, enter Circumradius (rc) and hit the calculate button. Here is how the Area of Nonagon given circumradius calculation can be explained with given input values -> 43.38816 = (9/2)*(15)*sin(2*pi/9).

FAQ

What is Area of Nonagon given circumradius?
The Area of Nonagon given circumradius formula is defined as space or amount occupied by nonagon in space and is represented as A = (9/2)*(rc)*sin(2*pi/9) or area = (9/2)*(Circumradius)*sin(2*pi/9). Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices.
How to calculate Area of Nonagon given circumradius?
The Area of Nonagon given circumradius formula is defined as space or amount occupied by nonagon in space is calculated using area = (9/2)*(Circumradius)*sin(2*pi/9). To calculate Area of Nonagon given circumradius, you need Circumradius (rc). With our tool, you need to enter the respective value for Circumradius 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 Circumradius. 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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