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Circumradius of Nonagon given Inradius Formula

GoCircumradius of Nonagon Formula

GoCircumradius of Nonagon given Diagonal across Four Sides Formula

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The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon. Check FAQs

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

r_c - Circumradius of Nonagon?r_i - Inradius of Nonagon?π - Archimedes' constant?

Circumradius of Nonagon given Inradius Example

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

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

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

11.706 = 2 \cdot 11 \cdot \frac{\tan (\frac{3.1416}{9})}{2 \cdot (\sin (\frac{3.1416}{9}))}

11.706m = 2 \cdot 11m \cdot \frac{\tan (\frac{3.1416}{9})}{2 \cdot (\sin (\frac{3.1416}{9}))}

11.706 = 2 \cdot 11 \cdot \frac{\tan (\frac{3.1416}{9})}{2 \cdot (\sin (\frac{3.1416}{9}))}

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Circumradius of Nonagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = 2 \cdot 11m \cdot \frac{\tan (\frac{π}{9})}{2 \cdot (\sin (\frac{π}{9}))}

Next Step Substitute values of Constants

∴

r c = 2 \cdot 11m \cdot \frac{\tan (\frac{3.1416}{9})}{2 \cdot (\sin (\frac{3.1416}{9}))}

Next Step Prepare to Evaluate

∴

r c = 2 \cdot 11 \cdot \frac{\tan (\frac{3.1416}{9})}{2 \cdot (\sin (\frac{3.1416}{9}))}

Next Step Evaluate

∴

r c = 11.705955497235m

LAST Step Rounding Answer

∴

r c = 11.706m

Circumradius of Nonagon given Inradius Formula Elements

Variables

Constants

Functions

Circumradius of Nonagon

The Circumradius of Nonagon is the radius of a circumcircle touching each of the vertices of the Nonagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Nonagon

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

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

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.

Syntax: sin(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.

Syntax: tan(Angle)

Other Formulas to find Circumradius of Nonagon

Go Circumradius of Nonagon

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

Go Circumradius of Nonagon given Diagonal across Four Sides

r c = \frac{d 4}{2 \cdot \sin (4 \cdot \frac{π}{9})}

Go Circumradius of Nonagon given Diagonal across Two Sides

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

Go Circumradius of Nonagon given Diagonal across Three Sides

r c = \frac{d 3}{2 \cdot \sin (3 \cdot \frac{π}{9})}

How to Evaluate Circumradius of Nonagon given Inradius?

Circumradius of Nonagon given Inradius evaluator uses Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9))) to evaluate the Circumradius of Nonagon, Circumradius of Nonagon given Inradius formula is defined as a straight line connecting the circumcenter and any point on the circle that touches all the vertices of the Nonagon, calculated using inradius. Circumradius of Nonagon is denoted by r_c symbol.

How to evaluate Circumradius of Nonagon given Inradius using this online evaluator? To use this online evaluator for Circumradius of Nonagon given Inradius, enter Inradius of Nonagon (r_i) and hit the calculate button.

FAQs on Circumradius of Nonagon given Inradius

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

The formula of Circumradius of Nonagon given Inradius is expressed as Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9))). Here is an example- 11.70596 = 2*11*tan(pi/9)/(2*(sin(pi/9))).

How to calculate Circumradius of Nonagon given Inradius?

With Inradius of Nonagon (r_i) we can find Circumradius of Nonagon given Inradius using the formula - Circumradius of Nonagon = 2*Inradius of Nonagon*tan(pi/9)/(2*(sin(pi/9))). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan) function(s).

What are the other ways to Calculate Circumradius of Nonagon?

Here are the different ways to Calculate Circumradius of Nonagon-

Circumradius of Nonagon=Side of Nonagon/(2*sin(pi/9))
Circumradius of Nonagon=Diagonal across Four Sides of Nonagon/(2*sin(4*pi/9))
Circumradius of Nonagon=Diagonal across Two Sides of Nonagon/(2*sin(2*pi/9))

Can the Circumradius of Nonagon given Inradius be negative?

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

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

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

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