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

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Height of Nonagon given Inradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9))
h = r_i*(1+sec(pi/9))
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(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.
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

h = r_i*(1+sec(pi/9)) --> 11*(1+sec(pi/9))

Evaluating ... ...

h = 22.705955497235

STEP 3: Convert Result to Output's Unit

22.705955497235 Meter --> No Conversion Required

FINAL ANSWER

22.705955497235 ≈ 22.70596 Meter <-- Height of Nonagon

(Calculation completed in 00.020 seconds)

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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 Inradius Formula

LaTeX Go

Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9))
h = r_i*(1+sec(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 Inradius?

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

How to calculate Height of Nonagon given Inradius using this online calculator? To use this online calculator for Height of Nonagon given Inradius, enter Inradius of Nonagon (r_i) and hit the calculate button. Here is how the Height of Nonagon given Inradius calculation can be explained with given input values -> 22.70596 = 11*(1+sec(pi/9)).

FAQ

What is Height of Nonagon given Inradius?

Height of Nonagon given Inradius formula is defined as a perpendicular line connecting apex and a point on opposite side of Nonagon, calculated using inradius and is represented as h = r_i*(1+sec(pi/9)) or Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9)). Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.

How to calculate Height of Nonagon given Inradius?

Height of Nonagon given Inradius formula is defined as a perpendicular line connecting apex and a point on opposite side of Nonagon, calculated using inradius is calculated using Height of Nonagon = Inradius of Nonagon*(1+sec(pi/9)). To calculate Height 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 Height of Nonagon?

In this formula, Height of Nonagon uses Inradius 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 = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon

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