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Short diagonal of Nonagon given circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
short_diagonal = 2*Circumradius*sin(4*pi/9)
r = 2*rc*sin(4*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
r = 2*rc*sin(4*pi/9) --> 2*15*sin(4*pi/9)
Evaluating ... ...
r = 29.5442325903662
STEP 3: Convert Result to Output's Unit
29.5442325903662 Meter --> No Conversion Required
FINAL ANSWER
29.5442325903662 Meter <-- Short diagonal
(Calculation completed in 00.000 seconds)

9 Diagonal of Nonagon Calculators

Medium diagonal of Nonagon given perimeter
medium_diagonal = (Perimeter/9)*(sin(3*pi/9)/sin(pi/9)) Go
Short diagonal of Nonagon given perimeter
short_diagonal = (Perimeter/9)*(sin(4*pi/9)/sin(pi/9)) Go
Long diagonal of Nonagon given perimeter
long_diagonal = (Perimeter/9)*(sin(2*pi/9)/sin(pi/9)) Go
Medium diagonal of Nonagon given side
medium_diagonal = Side*(sin(3*pi/9)/sin(pi/9)) Go
Short diagonal of Nonagon given side
short_diagonal = Side*(sin(4*pi/9)/sin(pi/9)) Go
Long diagonal of Nonagon given side
long_diagonal = Side*(sin(2*pi/9)/sin(pi/9)) Go
Medium diagonal of Nonagon given circumradius
medium_diagonal = 2*Circumradius*sin(3*pi/9) Go
Short diagonal of Nonagon given circumradius
short_diagonal = 2*Circumradius*sin(4*pi/9) Go
Long diagonal of Nonagon given circumradius
long_diagonal = 2*Circumradius*sin(2*pi/9) Go

Short diagonal of Nonagon given circumradius Formula

short_diagonal = 2*Circumradius*sin(4*pi/9)
r = 2*rc*sin(4*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 Short diagonal of Nonagon given circumradius?

Short diagonal of Nonagon given circumradius calculator uses short_diagonal = 2*Circumradius*sin(4*pi/9) to calculate the Short diagonal, Short diagonal of Nonagon given circumradius formula is defined as straight line connecting the opposite corners of a nonagon of shortest length through its vertex. Short diagonal and is denoted by r symbol.

How to calculate Short diagonal of Nonagon given circumradius using this online calculator? To use this online calculator for Short diagonal of Nonagon given circumradius, enter Circumradius (rc) and hit the calculate button. Here is how the Short diagonal of Nonagon given circumradius calculation can be explained with given input values -> 29.54423 = 2*15*sin(4*pi/9).

FAQ

What is Short diagonal of Nonagon given circumradius?
Short diagonal of Nonagon given circumradius formula is defined as straight line connecting the opposite corners of a nonagon of shortest length through its vertex and is represented as r = 2*rc*sin(4*pi/9) or short_diagonal = 2*Circumradius*sin(4*pi/9). Circumradius is the radius of a circumsphere touching each of the polyhedron's or polygon's vertices.
How to calculate Short diagonal of Nonagon given circumradius?
Short diagonal of Nonagon given circumradius formula is defined as straight line connecting the opposite corners of a nonagon of shortest length through its vertex is calculated using short_diagonal = 2*Circumradius*sin(4*pi/9). To calculate Short diagonal 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 Short diagonal?
In this formula, Short diagonal uses Circumradius. We can use 9 other way(s) to calculate the same, which is/are as follows -
  • long_diagonal = 2*Circumradius*sin(2*pi/9)
  • long_diagonal = (Perimeter/9)*(sin(2*pi/9)/sin(pi/9))
  • long_diagonal = Side*(sin(2*pi/9)/sin(pi/9))
  • medium_diagonal = 2*Circumradius*sin(3*pi/9)
  • medium_diagonal = (Perimeter/9)*(sin(3*pi/9)/sin(pi/9))
  • medium_diagonal = Side*(sin(3*pi/9)/sin(pi/9))
  • short_diagonal = 2*Circumradius*sin(4*pi/9)
  • short_diagonal = (Perimeter/9)*(sin(4*pi/9)/sin(pi/9))
  • short_diagonal = Side*(sin(4*pi/9)/sin(pi/9))
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