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Circumradius of N-gon Formula

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Circumradius of N-gon is the radius of a circumcircle touching each of the vertices of the N-gon. Check FAQs

r c = \frac{l e}{2 \cdot \sin (\frac{π}{N Sides})}

r_c - Circumradius of N-gon?l_e - Edge Length of N-gon?N_Sides - Number of Sides of N-gon?π - Archimedes' constant?

Circumradius of N-gon Example

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Here is how the Circumradius of N-gon equation looks like with Values.

Here is how the Circumradius of N-gon equation looks like with Units.

Here is how the Circumradius of N-gon equation looks like.

13.0656 = \frac{10}{2 \cdot \sin (\frac{3.1416}{8})}

13.0656m = \frac{10m}{2 \cdot \sin (\frac{3.1416}{8})}

13.0656 = \frac{10}{2 \cdot \sin (\frac{3.1416}{8})}

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Circumradius of N-gon Solution

Follow our step by step solution on how to calculate Circumradius of N-gon?

FIRST Step Consider the formula

r c = \frac{l e}{2 \cdot \sin (\frac{π}{N Sides})}

Next Step Substitute values of Variables

∴

r c = \frac{10m}{2 \cdot \sin (\frac{π}{8})}

Next Step Substitute values of Constants

∴

r c = \frac{10m}{2 \cdot \sin (\frac{3.1416}{8})}

Next Step Prepare to Evaluate

∴

r c = \frac{10}{2 \cdot \sin (\frac{3.1416}{8})}

Next Step Evaluate

∴

r c = 13.0656296487638m

LAST Step Rounding Answer

∴

r c = 13.0656m

Circumradius of N-gon Formula Elements

Variables

Constants

Functions

Circumradius of N-gon

Circumradius of N-gon is the radius of a circumcircle touching each of the vertices of the N-gon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of N-gon

Edge Length of N-gon

Edge Length of N-gon is the length of the line segment joining two adjacent vertices of N-gon.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of N-gon

Number of Sides of N-gon

Number of Sides of N-gon is the number of line segments required to make a N-gon.

Symbol: N_Sides

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Number of Sides of N-gon

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)

Other formulas in Radius of N gon category

Go Inradius of N-gon

r i = \frac{l e}{2 \cdot \tan (\frac{π}{N Sides})}

How to Evaluate Circumradius of N-gon?

Circumradius of N-gon evaluator uses Circumradius of N-gon = Edge Length of N-gon/(2*sin(pi/Number of Sides of N-gon)) to evaluate the Circumradius of N-gon, The Circumradius of N-gon formula is defined as the radius of a circumcircle touching each of the vertices of the N-gon. Circumradius of N-gon is denoted by r_c symbol.

How to evaluate Circumradius of N-gon using this online evaluator? To use this online evaluator for Circumradius of N-gon, enter Edge Length of N-gon (l_e) & Number of Sides of N-gon (N_Sides) and hit the calculate button.

FAQs on Circumradius of N-gon

What is the formula to find Circumradius of N-gon?

The formula of Circumradius of N-gon is expressed as Circumradius of N-gon = Edge Length of N-gon/(2*sin(pi/Number of Sides of N-gon)). Here is an example- 13.06563 = 10/(2*sin(pi/8)).

How to calculate Circumradius of N-gon?

With Edge Length of N-gon (l_e) & Number of Sides of N-gon (N_Sides) we can find Circumradius of N-gon using the formula - Circumradius of N-gon = Edge Length of N-gon/(2*sin(pi/Number of Sides of N-gon)). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Circumradius of N-gon be negative?

No, the Circumradius of N-gon, measured in Length cannot be negative.

Which unit is used to measure Circumradius of N-gon?

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

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Circumradius of N-gon Formula

Circumradius of N-gon Example

Circumradius of N-gon Solution

Circumradius of N-gon Formula Elements

Other formulas in Radius of N gon category

How to Evaluate Circumradius of N-gon?

FAQs on Circumradius of N-gon

Variable Name