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Circumradius of Nonagon given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = Perimeter/(18*sin(pi/9))
rc = P/(18*sin(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
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = P/(18*sin(pi/9)) --> 20/(18*sin(pi/9))
Evaluating ... ...
rc = 3.24867155573676
STEP 3: Convert Result to Output's Unit
3.24867155573676 Meter --> No Conversion Required
FINAL ANSWER
3.24867155573676 Meter <-- Circumradius
(Calculation completed in 00.016 seconds)

9 Circumradius of Nonagon Calculators

Circumradius of Nonagon given inradius
circumradius = (Inradius)/(sin(pi/9)*tan(pi/9)) Go
Circumradius of Nonagon given height
circumradius = Height/(1+sin(pi/9)*tan(pi/9)) Go
Circumradius of Nonagon given medium diagonal
circumradius = Medium diagonal/(2*sin(3*pi/9)) Go
Circumradius of Nonagon given short diagonal
circumradius = Short diagonal/(2*sin(4*pi/9)) Go
Circumradius of Nonagon given long diagonal
circumradius = Long diagonal/(2*sin(2*pi/9)) Go
Circumradius of Nonagon given perimeter
circumradius = Perimeter/(18*sin(pi/9)) Go
Circumradius of Nonagon given area
circumradius = (2*Area)/(9)*sin(2*pi/9) Go
Circumradius of Nonagon given side
circumradius = Side/(2*sin(pi/9)) Go
Circumradius of Nonagon given inradius and height
circumradius = Height-Inradius Go

Circumradius of Nonagon given perimeter Formula

circumradius = Perimeter/(18*sin(pi/9))
rc = P/(18*sin(pi/9))

What are the 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 Circumradius of Nonagon given perimeter?

Circumradius of Nonagon given perimeter calculator uses circumradius = Perimeter/(18*sin(pi/9)) to calculate the Circumradius, Circumradius of Nonagon given perimeter formula is defined as a straight line connecting circumcenter and any point of circle that touches all vertices of nonagon. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Nonagon given perimeter using this online calculator? To use this online calculator for Circumradius of Nonagon given perimeter, enter Perimeter (P) and hit the calculate button. Here is how the Circumradius of Nonagon given perimeter calculation can be explained with given input values -> 3.248672 = 20/(18*sin(pi/9)).

FAQ

What is Circumradius of Nonagon given perimeter?
Circumradius of Nonagon given perimeter formula is defined as a straight line connecting circumcenter and any point of circle that touches all vertices of nonagon and is represented as rc = P/(18*sin(pi/9)) or circumradius = Perimeter/(18*sin(pi/9)). The perimeter of a figure is the total distance around the edge of the figure.
How to calculate Circumradius of Nonagon given perimeter?
Circumradius of Nonagon given perimeter formula is defined as a straight line connecting circumcenter and any point of circle that touches all vertices of nonagon is calculated using circumradius = Perimeter/(18*sin(pi/9)). To calculate Circumradius of Nonagon given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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 Circumradius?
In this formula, Circumradius uses Perimeter. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • circumradius = Side/(2*sin(pi/9))
  • circumradius = Long diagonal/(2*sin(2*pi/9))
  • circumradius = Short diagonal/(2*sin(4*pi/9))
  • circumradius = Medium diagonal/(2*sin(3*pi/9))
  • circumradius = Height-Inradius
  • circumradius = (2*Area)/(9)*sin(2*pi/9)
  • circumradius = (Inradius)/(sin(pi/9)*tan(pi/9))
  • circumradius = Height/(1+sin(pi/9)*tan(pi/9))
  • circumradius = Perimeter/(18*sin(pi/9))
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