Circumradius of Nonagon given Inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9)))
rc = 2*ri*tan(pi/9)/(2*(sin(pi/9)))
This formula uses 1 Constants, 2 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)
tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
Variables Used
Circumradius of Nonagon - (Measured in Meter) - The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.
Inradius of Nonagon - (Measured in Meter) - Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.
STEP 1: Convert Input(s) to Base Unit
Inradius of Nonagon: 11 Meter --> 11 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = 2*ri*tan(pi/9)/(2*(sin(pi/9))) --> 2*11*tan(pi/9)/(2*(sin(pi/9)))
Evaluating ... ...
rc = 11.705955497235
STEP 3: Convert Result to Output's Unit
11.705955497235 Meter --> No Conversion Required
FINAL ANSWER
11.705955497235 11.70596 Meter <-- Circumradius of Nonagon
(Calculation completed in 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli
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9 Circumradius of Nonagon Calculators

Circumradius of Nonagon given Inradius
Go Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9)))
Circumradius of Nonagon given Area
Go Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9)))
Circumradius of Nonagon given Diagonal across Three Sides
Go Circumradius of Nonagon = Diagonal across Three Sides of Nonagon/(2*sin(3*pi/9))
Circumradius of Nonagon given Diagonal across Four Sides
Go Circumradius of Nonagon = Diagonal across Four Sides of Nonagon/(2*sin(4*pi/9))
Circumradius of Nonagon given Diagonal across Two Sides
Go Circumradius of Nonagon = Diagonal across Two Sides of Nonagon/(2*sin(2*pi/9))
Circumradius of Nonagon given Perimeter
Go Circumradius of Nonagon = Perimeter of Nonagon/(18*sin(pi/9))
Circumradius of Nonagon given Height
Go Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9))
Circumradius of Nonagon
Go Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))
Circumradius of Nonagon given Inradius and Height
Go Circumradius of Nonagon = Height of Nonagon-Inradius of Nonagon

Circumradius of Nonagon given Inradius Formula

Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9)))
rc = 2*ri*tan(pi/9)/(2*(sin(pi/9)))

What is a 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 Inradius?

Circumradius of Nonagon given Inradius calculator uses Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9))) to calculate the Circumradius of Nonagon, Circumradius of Nonagon given Inradius formula is defined as a straight line connecting the circumcenter and any point on the circle that touches all the vertices of the Nonagon, calculated using inradius. Circumradius of Nonagon 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 of Nonagon (ri) and hit the calculate button. Here is how the Circumradius of Nonagon given Inradius calculation can be explained with given input values -> 11.70596 = 2*11*tan(pi/9)/(2*(sin(pi/9))).

FAQ

What is Circumradius of Nonagon given Inradius?
Circumradius of Nonagon given Inradius formula is defined as a straight line connecting the circumcenter and any point on the circle that touches all the vertices of the Nonagon, calculated using inradius and is represented as rc = 2*ri*tan(pi/9)/(2*(sin(pi/9))) or Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9))). Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.
How to calculate Circumradius of Nonagon given Inradius?
Circumradius of Nonagon given Inradius formula is defined as a straight line connecting the circumcenter and any point on the circle that touches all the vertices of the Nonagon, calculated using inradius is calculated using Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9))). To calculate Circumradius of Nonagon given Inradius, you need Inradius of Nonagon (ri). With our tool, you need to enter the respective value for Inradius of Nonagon 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 of Nonagon?
In this formula, Circumradius of Nonagon uses Inradius of Nonagon. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))
  • Circumradius of Nonagon = Diagonal across Four Sides of Nonagon/(2*sin(4*pi/9))
  • Circumradius of Nonagon = Diagonal across Two Sides of Nonagon/(2*sin(2*pi/9))
  • Circumradius of Nonagon = Diagonal across Three Sides of Nonagon/(2*sin(3*pi/9))
  • Circumradius of Nonagon = Height of Nonagon-Inradius of Nonagon
  • Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9)))
  • Circumradius of Nonagon = Height of Nonagon/(1+cos(pi/9))
  • Circumradius of Nonagon = Perimeter of Nonagon/(18*sin(pi/9))
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