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Circumradius of Nonagon given Area 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 = \sqrt{\frac{2 \cdot A}{9 \cdot \sin (2 \cdot \frac{π}{9})}}

r_c - Circumradius of Nonagon?A - Area of Nonagon?π - Archimedes' constant?

Circumradius of Nonagon given Area Example

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

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

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

11.6858 = \sqrt{\frac{2 \cdot 395}{9 \cdot \sin (2 \cdot \frac{3.1416}{9})}}

11.6858m = \sqrt{\frac{2 \cdot 395m²}{9 \cdot \sin (2 \cdot \frac{3.1416}{9})}}

11.6858 = \sqrt{\frac{2 \cdot 395}{9 \cdot \sin (2 \cdot \frac{3.1416}{9})}}

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Circumradius of Nonagon given Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{\frac{2 \cdot 395m²}{9 \cdot \sin (2 \cdot \frac{π}{9})}}

Next Step Substitute values of Constants

∴

r c = \sqrt{\frac{2 \cdot 395m²}{9 \cdot \sin (2 \cdot \frac{3.1416}{9})}}

Next Step Prepare to Evaluate

∴

r c = \sqrt{\frac{2 \cdot 395}{9 \cdot \sin (2 \cdot \frac{3.1416}{9})}}

Next Step Evaluate

∴

r c = 11.6858025123544m

LAST Step Rounding Answer

∴

r c = 11.6858m

Circumradius of Nonagon given Area 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

Area of Nonagon

The Area of Nonagon is the amount of two-dimensional space taken up by the Nonagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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)

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.

Syntax: sqrt(Number)

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 Area?

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

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

FAQs on Circumradius of Nonagon given Area

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

The formula of Circumradius of Nonagon given Area is expressed as Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9))). Here is an example- 11.6858 = sqrt((2*395)/(9*sin(2*pi/9))).

How to calculate Circumradius of Nonagon given Area?

With Area of Nonagon (A) we can find Circumradius of Nonagon given Area using the formula - Circumradius of Nonagon = sqrt((2*Area of Nonagon)/(9*sin(2*pi/9))). This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) 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 Area be negative?

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

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

Circumradius of Nonagon given Area 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 Area can be measured.

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