Inradius of Nonagon given Height Calculator

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

Inradius of Nonagon - (Measured in Meter) - Inradius of Nonagon is defined as the radius of the circle which is inscribed inside 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.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = h/(1+sec(pi/9)) --> 22/(1+sec(pi/9))

Evaluating ... ...

r_i = 10.6579967546166

STEP 3: Convert Result to Output's Unit

10.6579967546166 Meter --> No Conversion Required

FINAL ANSWER

10.6579967546166 ≈ 10.658 Meter <-- Inradius 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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Verified by Nishan Poojary

Shri Madhwa Vadiraja Institute of Technology and Management (SMVITM), Udupi

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< 8 Inradius of Nonagon Calculators

Inradius of Nonagon given Diagonal across Three Sides

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

Inradius of Nonagon given Diagonal across Two Sides

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

Inradius of Nonagon given Diagonal across Four Sides

Go Inradius of Nonagon = Diagonal across Four Sides of Nonagon*((sin(pi/18))/(tan(pi/9)))

Inradius of Nonagon given Circumradius

Go Inradius of Nonagon = Circumradius of Nonagon*sin(pi/9)/tan(pi/9)

Inradius of Nonagon given Area

Go Inradius of Nonagon = sqrt(Area of Nonagon/(9*tan(pi/9)))

Inradius of Nonagon given Perimeter

Go Inradius of Nonagon = Perimeter of Nonagon/(tan(pi/9)*18)

Inradius of Nonagon given Height

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

Inradius of Nonagon

Go Inradius of Nonagon = Side of Nonagon/(2*tan(pi/9))

< 5 Radius of Nonagon Calculators

Inradius of Nonagon given Diagonal across Two Sides

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

Inradius of Nonagon given Height

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

Inradius of Nonagon

Go Inradius of Nonagon = Side of Nonagon/(2*tan(pi/9))

Inradius of Nonagon given Height Formula

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

Inradius of Nonagon given Height calculator uses Inradius of Nonagon = Height of Nonagon/(1+sec(pi/9)) to calculate the Inradius of Nonagon, Inradius of Nonagon given Height formula is defined as a straight line connecting the incenter and any point on the circle that touches all the edges of the Nonagon, calculated using height. Inradius of Nonagon is denoted by r_i symbol.

How to calculate Inradius of Nonagon given Height using this online calculator? To use this online calculator for Inradius of Nonagon given Height, enter Height of Nonagon (h) and hit the calculate button. Here is how the Inradius of Nonagon given Height calculation can be explained with given input values -> 10.658 = 22/(1+sec(pi/9)).

FAQ

What is Inradius of Nonagon given Height?

Inradius of Nonagon given Height formula is defined as a straight line connecting the incenter and any point on the circle that touches all the edges of the Nonagon, calculated using height and is represented as r_i = h/(1+sec(pi/9)) or Inradius of Nonagon = Height of Nonagon/(1+sec(pi/9)). Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

How to calculate Inradius of Nonagon given Height?

Inradius of Nonagon given Height formula is defined as a straight line connecting the incenter and any point on the circle that touches all the edges of the Nonagon, calculated using height is calculated using Inradius of Nonagon = Height of Nonagon/(1+sec(pi/9)). To calculate Inradius of Nonagon given Height, you need Height of Nonagon (h). With our tool, you need to enter the respective value for Height 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 Inradius of Nonagon?

In this formula, Inradius of Nonagon uses Height of Nonagon. We can use 9 other way(s) to calculate the same, which is/are as follows -

Inradius of Nonagon = Diagonal across Four Sides of Nonagon*((sin(pi/18))/(tan(pi/9)))
Inradius of Nonagon = Side of Nonagon/(2*tan(pi/9))
Inradius of Nonagon = Circumradius of Nonagon*sin(pi/9)/tan(pi/9)
Inradius of Nonagon = sqrt(Area of Nonagon/(9*tan(pi/9)))
Inradius of Nonagon = Perimeter of Nonagon/(tan(pi/9)*18)
Inradius of Nonagon = ((Diagonal across Three Sides of Nonagon/(2*sin(3*pi/9)))*sin(pi/9))/tan(pi/9)
Inradius of Nonagon = ((Diagonal across Two Sides of Nonagon/(2*(sin(2*pi/9))))*sin(pi/9))/tan(pi/9)
Inradius of Nonagon = Side of Nonagon/(2*tan(pi/9))
Inradius of Nonagon = ((Diagonal across Two Sides of Nonagon/(2*(sin(2*pi/9))))*sin(pi/9))/tan(pi/9)

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