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Circumradius of Nonagon given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = Height/(1+sin(pi/9)*tan(pi/9))
rc = h/(1+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
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = h/(1+sin(pi/9)*tan(pi/9)) --> 12/(1+sin(pi/9)*tan(pi/9))
Evaluating ... ...
rc = 10.6715504264018
STEP 3: Convert Result to Output's Unit
10.6715504264018 Meter --> No Conversion Required
FINAL ANSWER
10.6715504264018 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 height Formula

circumradius = Height/(1+sin(pi/9)*tan(pi/9))
rc = h/(1+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 Circumradius of Nonagon given height?

Circumradius of Nonagon given height calculator uses circumradius = Height/(1+sin(pi/9)*tan(pi/9)) to calculate the Circumradius, Circumradius of Nonagon given height formula is defined as a straight line connecting circumcenter and any point on circle that touches all vertices of nonagon. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Nonagon given height using this online calculator? To use this online calculator for Circumradius of Nonagon given height, enter Height (h) and hit the calculate button. Here is how the Circumradius of Nonagon given height calculation can be explained with given input values -> 10.67155 = 12/(1+sin(pi/9)*tan(pi/9)).

FAQ

What is Circumradius of Nonagon given height?
Circumradius of Nonagon given height formula is defined as a straight line connecting circumcenter and any point on circle that touches all vertices of nonagon and is represented as rc = h/(1+sin(pi/9)*tan(pi/9)) or circumradius = Height/(1+sin(pi/9)*tan(pi/9)). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Circumradius of Nonagon given height?
Circumradius of Nonagon given height formula is defined as a straight line connecting circumcenter and any point on circle that touches all vertices of nonagon is calculated using circumradius = Height/(1+sin(pi/9)*tan(pi/9)). To calculate Circumradius of Nonagon given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Height. 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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