Circumradius of Nonagon given Inradius Calculator

✖Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.ⓘ Inradius of Nonagon [r_i]

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

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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)))
r_c = 2*r_i*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

r_c = 2*r_i*tan(pi/9)/(2*(sin(pi/9))) --> 2*11*tan(pi/9)/(2*(sin(pi/9)))

Evaluating ... ...

r_c = 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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< Circumradius of Nonagon Calculators

Circumradius of Nonagon given Diagonal across Three Sides

LaTeX Go Circumradius of Nonagon = Diagonal across Three Sides of Nonagon/(2*sin(3*pi/9))

Circumradius of Nonagon given Diagonal across Four Sides

LaTeX Go Circumradius of Nonagon = Diagonal across Four Sides of Nonagon/(2*sin(4*pi/9))

Circumradius of Nonagon given Diagonal across Two Sides

LaTeX Go Circumradius of Nonagon = Diagonal across Two Sides of Nonagon/(2*sin(2*pi/9))

Circumradius of Nonagon

LaTeX Go Circumradius of Nonagon = Side of Nonagon/(2*sin(pi/9))

Circumradius of Nonagon given Inradius Formula

LaTeX Go

Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9)))
r_c = 2*r_i*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 r_c 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 (r_i) 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 r_c = 2*r_i*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 (r_i). 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 3 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))

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