Circumradius of Nonagon given Inradius and Height Calculator

✖Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Nonagon [h]			+10% -10%
✖Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.ⓘ Inradius of Nonagon [r_i]			+10% -10%

✖The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.ⓘ Circumradius of Nonagon given Inradius and Height [r_c]

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Formula

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Circumradius of Nonagon given Inradius and Height

Formula

`"r"_{"c"} = "h"-"r"_{"i"}`

Example

`"11m"="22m"-"11m"`

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Circumradius of Nonagon given Inradius and Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumradius of Nonagon = Height of Nonagon-Inradius of Nonagon
r_c = h-r_i
This formula uses 3 Variables

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.
Height of Nonagon - (Measured in Meter) - Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.
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

Height of Nonagon: 22 Meter --> 22 Meter No Conversion Required
Inradius of Nonagon: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = h-r_i --> 22-11

Evaluating ... ...

r_c = 11

STEP 3: Convert Result to Output's Unit

11 Meter --> No Conversion Required

FINAL ANSWER

11 Meter <-- Circumradius of Nonagon

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

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 and Height Formula

Circumradius of Nonagon = Height of Nonagon-Inradius of Nonagon
r_c = h-r_i

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 Inradius and Height?

Circumradius of Nonagon given Inradius and Height calculator uses Circumradius of Nonagon = Height of Nonagon-Inradius of Nonagon to calculate the Circumradius of Nonagon, Circumradius of Nonagon given Inradius and Height formula is defined as a line connecting the circumcenter and any point on the circle that touches all the vertices of the Nonagon, calculated using inradius and height. Circumradius of Nonagon is denoted by r_c symbol.

How to calculate Circumradius of Nonagon given Inradius and Height using this online calculator? To use this online calculator for Circumradius of Nonagon given Inradius and Height, enter Height of Nonagon (h) & Inradius of Nonagon (r_i) and hit the calculate button. Here is how the Circumradius of Nonagon given Inradius and Height calculation can be explained with given input values -> 11 = 22-11.

FAQ

What is Circumradius of Nonagon given Inradius and Height?

Circumradius of Nonagon given Inradius and Height formula is defined as a line connecting the circumcenter and any point on the circle that touches all the vertices of the Nonagon, calculated using inradius and height and is represented as r_c = h-r_i or Circumradius of Nonagon = Height of Nonagon-Inradius of Nonagon. Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side & 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 and Height?

Circumradius of Nonagon given Inradius and Height formula is defined as a line connecting the circumcenter and any point on the circle that touches all the vertices of the Nonagon, calculated using inradius and height is calculated using Circumradius of Nonagon = Height of Nonagon-Inradius of Nonagon. To calculate Circumradius of Nonagon given Inradius and Height, you need Height of Nonagon (h) & Inradius of Nonagon (r_i). With our tool, you need to enter the respective value for Height of Nonagon & 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 Height of Nonagon & 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 = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9)))
Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(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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