Height of Nonagon given Circumradius Calculator

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

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✖Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.ⓘ Height of Nonagon given Circumradius [h]

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Height of Nonagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Nonagon = Circumradius of Nonagon*(1+cos(pi/9))
h = r_c*(1+cos(pi/9))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)

Variables Used

Height of Nonagon - (Measured in Meter) - Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.
Circumradius of Nonagon - (Measured in Meter) - The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Nonagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = r_c*(1+cos(pi/9)) --> 12*(1+cos(pi/9))

Evaluating ... ...

h = 23.2763114494309

STEP 3: Convert Result to Output's Unit

23.2763114494309 Meter --> No Conversion Required

FINAL ANSWER

23.2763114494309 ≈ 23.27631 Meter <-- Height 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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< Height of Nonagon Calculators

Height of Nonagon given Area

LaTeX Go Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))

Height of Nonagon given Side

LaTeX Go Height of Nonagon = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon

Height of Nonagon given Inradius

LaTeX Go Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9))

Height of Nonagon

LaTeX Go Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon

Height of Nonagon given Circumradius Formula

LaTeX Go

Height of Nonagon = Circumradius of Nonagon*(1+cos(pi/9))
h = r_c*(1+cos(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 Height of Nonagon given Circumradius?

Height of Nonagon given Circumradius calculator uses Height of Nonagon = Circumradius of Nonagon*(1+cos(pi/9)) to calculate the Height of Nonagon, The Height of Nonagon given Circumradius formula is defined as a perpendicular line connecting apex and a point on its opposite side, calculated using circumradius. Height of Nonagon is denoted by h symbol.

How to calculate Height of Nonagon given Circumradius using this online calculator? To use this online calculator for Height of Nonagon given Circumradius, enter Circumradius of Nonagon (r_c) and hit the calculate button. Here is how the Height of Nonagon given Circumradius calculation can be explained with given input values -> 23.27631 = 12*(1+cos(pi/9)).

FAQ

What is Height of Nonagon given Circumradius?

The Height of Nonagon given Circumradius formula is defined as a perpendicular line connecting apex and a point on its opposite side, calculated using circumradius and is represented as h = r_c*(1+cos(pi/9)) or Height of Nonagon = Circumradius of Nonagon*(1+cos(pi/9)). The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

How to calculate Height of Nonagon given Circumradius?

The Height of Nonagon given Circumradius formula is defined as a perpendicular line connecting apex and a point on its opposite side, calculated using circumradius is calculated using Height of Nonagon = Circumradius of Nonagon*(1+cos(pi/9)). To calculate Height of Nonagon given Circumradius, you need Circumradius of Nonagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Height of Nonagon?

In this formula, Height of Nonagon uses Circumradius of Nonagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Height of Nonagon = Circumradius of Nonagon+Inradius of Nonagon
Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))
Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9))

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