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Area of Nonagon given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (9*Inradius*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9))
A = (9*ri*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9))
This formula uses 1 Constants, 2 Functions, 1 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Trigonometric sine function, sin(Angle)
tan - Trigonometric tangent function, tan(Angle)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (9*ri*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9)) --> (9*10*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9))
Evaluating ... ...
A = 232.360583115368
STEP 3: Convert Result to Output's Unit
232.360583115368 Square Meter --> No Conversion Required
FINAL ANSWER
232.360583115368 Square Meter <-- Area
(Calculation completed in 00.015 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 inradius Formula

area = (9*Inradius*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9))
A = (9*ri*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9))

What are properties of nonagon?

Regular Nonagon: Has nine sides of equal length and nine interior angles, each measuring 140°, and exterior angles of 40° each. It has nine lines of symmetry and rotational equilibrium of order nine. All regular nonagon is convex.

How to Calculate Area of Nonagon given inradius?

Area of Nonagon given inradius calculator uses area = (9*Inradius*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9)) to calculate the Area, Area of Nonagon given inradius formula is defined as amount or quantity of space occupied by nonagon in a plane. Area and 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 (ri) and hit the calculate button. Here is how the Area of Nonagon given inradius calculation can be explained with given input values -> 232.3606 = (9*10*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9)).

FAQ

What is Area of Nonagon given inradius?
Area of Nonagon given inradius formula is defined as amount or quantity of space occupied by nonagon in a plane and is represented as A = (9*ri*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9)) or area = (9*Inradius*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9)). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Area of Nonagon given inradius?
Area of Nonagon given inradius formula is defined as amount or quantity of space occupied by nonagon in a plane is calculated using area = (9*Inradius*sin(2*pi/9))/(2*sin(pi/9)*tan(pi/9)). To calculate Area of Nonagon given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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 Inradius. 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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