Height of Nonagon given Area Calculator

✖The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.ⓘ Area of Nonagon [A]

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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 Area [h]

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Height of Nonagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))
h = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(A*(tan(pi/9)))
This formula uses 1 Constants, 4 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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

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.
Area of Nonagon - (Measured in Square Meter) - The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.

STEP 1: Convert Input(s) to Base Unit

Area of Nonagon: 395 Square Meter --> 395 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(A*(tan(pi/9))) --> ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(395*(tan(pi/9)))

Evaluating ... ...

h = 22.6668649011752

STEP 3: Convert Result to Output's Unit

22.6668649011752 Meter --> No Conversion Required

FINAL ANSWER

22.6668649011752 ≈ 22.66686 Meter <-- Height of Nonagon

(Calculation completed in 00.006 seconds)

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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 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

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

Height of Nonagon given Area Formula

LaTeX Go

Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9)))
h = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(A*(tan(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 Area?

Height of Nonagon given Area calculator uses Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9))) to calculate the Height of Nonagon, Height of Nonagon given Area formula is defined as a perpendicular line connecting apex and a point on opposite side of Nonagon, calculated using area. Height of Nonagon is denoted by h symbol.

How to calculate Height of Nonagon given Area using this online calculator? To use this online calculator for Height of Nonagon given Area, enter Area of Nonagon (A) and hit the calculate button. Here is how the Height of Nonagon given Area calculation can be explained with given input values -> 22.66686 = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(395*(tan(pi/9))).

FAQ

What is Height of Nonagon given Area?

Height of Nonagon given Area formula is defined as a perpendicular line connecting apex and a point on opposite side of Nonagon, calculated using area and is represented as h = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(A*(tan(pi/9))) or Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9))). The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.

How to calculate Height of Nonagon given Area?

Height of Nonagon given Area formula is defined as a perpendicular line connecting apex and a point on opposite side of Nonagon, calculated using area is calculated using Height of Nonagon = ((1+cos(pi/9))/(3*sin(pi/9)))*sqrt(Area of Nonagon*(tan(pi/9))). To calculate Height of Nonagon given Area, you need Area of Nonagon (A). With our tool, you need to enter the respective value for Area 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 Area 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 = Inradius of Nonagon*(1+sec(pi/9))
Height of Nonagon = ((1+cos(pi/9))/(2*sin(pi/9)))*Side of Nonagon

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