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Inradius of Nonagon given Height Formula

GoInradius of Nonagon Formula

GoInradius of Nonagon given Diagonal across Two Sides Formula

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Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon. Check FAQs

r i = \frac{h}{1 + \sec (\frac{π}{9})}

r_i - Inradius of Nonagon?h - Height of Nonagon?π - Archimedes' constant?

Inradius of Nonagon given Height Example

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Here is how the Inradius of Nonagon given Height equation looks like with Values.

Here is how the Inradius of Nonagon given Height equation looks like with Units.

Here is how the Inradius of Nonagon given Height equation looks like.

10.658 = \frac{22}{1 + \sec (\frac{3.1416}{9})}

10.658m = \frac{22m}{1 + \sec (\frac{3.1416}{9})}

10.658 = \frac{22}{1 + \sec (\frac{3.1416}{9})}

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Inradius of Nonagon given Height Solution

Follow our step by step solution on how to calculate Inradius of Nonagon given Height?

FIRST Step Consider the formula

r i = \frac{h}{1 + \sec (\frac{π}{9})}

Next Step Substitute values of Variables

∴

r i = \frac{22m}{1 + \sec (\frac{π}{9})}

Next Step Substitute values of Constants

∴

r i = \frac{22m}{1 + \sec (\frac{3.1416}{9})}

Next Step Prepare to Evaluate

∴

r i = \frac{22}{1 + \sec (\frac{3.1416}{9})}

Next Step Evaluate

∴

r i = 10.6579967546166m

LAST Step Rounding Answer

∴

r i = 10.658m

Inradius of Nonagon given Height Formula Elements

Variables

Constants

Functions

Inradius of Nonagon

Inradius of Nonagon is defined as the radius of the circle which is inscribed inside the Nonagon.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius of Nonagon

Height of Nonagon

Height of Nonagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Nonagon

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sec(Angle)

Other Formulas to find Inradius of Nonagon

Go Inradius of Nonagon

r i = \frac{S}{2 \cdot \tan (\frac{π}{9})}

Go Inradius of Nonagon given Diagonal across Two Sides

r i = \frac{(\frac{d 2}{2 \cdot (\sin (2 \cdot \frac{π}{9}))}) \cdot \sin (\frac{π}{9})}{\tan (\frac{π}{9})}

Other formulas in Inradius of Nonagon category

Go Circumradius of Nonagon

r c = \frac{S}{2 \cdot \sin (\frac{π}{9})}

Go Circumradius of Nonagon given Height

r c = \frac{h}{1 + \cos (\frac{π}{9})}

How to Evaluate Inradius of Nonagon given Height?

Inradius of Nonagon given Height evaluator uses Inradius of Nonagon = Height of Nonagon/(1+sec(pi/9)) to evaluate 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 evaluate Inradius of Nonagon given Height using this online evaluator? To use this online evaluator for Inradius of Nonagon given Height, enter Height of Nonagon (h) and hit the calculate button.

FAQs on Inradius of Nonagon given Height

What is the formula to find Inradius of Nonagon given Height?

The formula of Inradius of Nonagon given Height is expressed as Inradius of Nonagon = Height of Nonagon/(1+sec(pi/9)). Here is an example- 10.658 = 22/(1+sec(pi/9)).

How to calculate Inradius of Nonagon given Height?

With Height of Nonagon (h) we can find Inradius of Nonagon given Height using the formula - Inradius of Nonagon = Height of Nonagon/(1+sec(pi/9)). This formula also uses Archimedes' constant and Secant (sec) function(s).

What are the other ways to Calculate Inradius of Nonagon?

Here are the different ways to Calculate Inradius of Nonagon-

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)

Can the Inradius of Nonagon given Height be negative?

No, the Inradius of Nonagon given Height, measured in Length cannot be negative.

Which unit is used to measure Inradius of Nonagon given Height?

Inradius of Nonagon given Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Inradius of Nonagon given Height can be measured.

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