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Circumradius of Nonagon given long diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = Long diagonal/(2*sin(2*pi/9))
rc = p/(2*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
Long diagonal - Long diagonal is a straight line joining two opposite corners of a given polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Long diagonal: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = p/(2*sin(2*pi/9)) --> 10/(2*sin(2*pi/9))
Evaluating ... ...
rc = 7.77861913430206
STEP 3: Convert Result to Output's Unit
7.77861913430206 Meter --> No Conversion Required
FINAL ANSWER
7.77861913430206 Meter <-- Circumradius
(Calculation completed in 00.000 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 long diagonal Formula

circumradius = Long diagonal/(2*sin(2*pi/9))
rc = p/(2*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 Circumradius of Nonagon given long diagonal?

Circumradius of Nonagon given long diagonal calculator uses circumradius = Long diagonal/(2*sin(2*pi/9)) to calculate the Circumradius, Circumradius of Nonagon given long diagonal formula is defined as a 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 long diagonal using this online calculator? To use this online calculator for Circumradius of Nonagon given long diagonal, enter Long diagonal (p) and hit the calculate button. Here is how the Circumradius of Nonagon given long diagonal calculation can be explained with given input values -> 7.778619 = 10/(2*sin(2*pi/9)).

FAQ

What is Circumradius of Nonagon given long diagonal?
Circumradius of Nonagon given long diagonal formula is defined as a line connecting circumcenter and any point of circle that touches all vertices of nonagon and is represented as rc = p/(2*sin(2*pi/9)) or circumradius = Long diagonal/(2*sin(2*pi/9)). Long diagonal is a straight line joining two opposite corners of a given polygon.
How to calculate Circumradius of Nonagon given long diagonal?
Circumradius of Nonagon given long diagonal formula is defined as a line connecting circumcenter and any point of circle that touches all vertices of nonagon is calculated using circumradius = Long diagonal/(2*sin(2*pi/9)). To calculate Circumradius of Nonagon given long diagonal, you need Long diagonal (p). With our tool, you need to enter the respective value for Long diagonal 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 Long diagonal. 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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