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Circumradius of Nonagon given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
circumradius = (Inradius)/(sin(pi/9)*tan(pi/9))
rc = (ri)/(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
rc = (ri)/(sin(pi/9)*tan(pi/9)) --> (10)/(sin(pi/9)*tan(pi/9))
Evaluating ... ...
rc = 80.3308656835015
STEP 3: Convert Result to Output's Unit
80.3308656835015 Meter --> No Conversion Required
FINAL ANSWER
80.3308656835015 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 inradius Formula

circumradius = (Inradius)/(sin(pi/9)*tan(pi/9))
rc = (ri)/(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 inradius?

Circumradius of Nonagon given inradius calculator uses circumradius = (Inradius)/(sin(pi/9)*tan(pi/9)) to calculate the Circumradius, Circumradius of Nonagon given inradius formula is defined as a straight line connecting circumcenter and any point on circle that touches all the vertices of nonagon. Here radius = circumradius and radius_1= inradius. Circumradius and is denoted by rc symbol.

How to calculate Circumradius of Nonagon given inradius using this online calculator? To use this online calculator for Circumradius of Nonagon given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Circumradius of Nonagon given inradius calculation can be explained with given input values -> 80.33087 = (10)/(sin(pi/9)*tan(pi/9)).

FAQ

What is Circumradius of Nonagon given inradius?
Circumradius of Nonagon given inradius formula is defined as a straight line connecting circumcenter and any point on circle that touches all the vertices of nonagon. Here radius = circumradius and radius_1= inradius and is represented as rc = (ri)/(sin(pi/9)*tan(pi/9)) or circumradius = (Inradius)/(sin(pi/9)*tan(pi/9)). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Circumradius of Nonagon given inradius?
Circumradius of Nonagon given inradius formula is defined as a straight line connecting circumcenter and any point on circle that touches all the vertices of nonagon. Here radius = circumradius and radius_1= inradius is calculated using circumradius = (Inradius)/(sin(pi/9)*tan(pi/9)). To calculate Circumradius 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 Circumradius?
In this formula, Circumradius uses Inradius. 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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