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Circumradius of Heptagon Formula

GoCircumradius of Heptagon given Area Formula

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

r c = \frac{S}{2 \cdot \sin (\frac{π}{7})}

r_c - Circumradius of Heptagon?S - Side of Heptagon?π - Archimedes' constant?

Circumradius of Heptagon Example

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Here is how the Circumradius of Heptagon equation looks like with Values.

Here is how the Circumradius of Heptagon equation looks like with Units.

Here is how the Circumradius of Heptagon equation looks like.

11.5238 = \frac{10}{2 \cdot \sin (\frac{3.1416}{7})}

11.5238m = \frac{10m}{2 \cdot \sin (\frac{3.1416}{7})}

11.5238 = \frac{10}{2 \cdot \sin (\frac{3.1416}{7})}

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Circumradius of Heptagon Solution

Follow our step by step solution on how to calculate Circumradius of Heptagon?

FIRST Step Consider the formula

r c = \frac{S}{2 \cdot \sin (\frac{π}{7})}

Next Step Substitute values of Variables

∴

r c = \frac{10m}{2 \cdot \sin (\frac{π}{7})}

Next Step Substitute values of Constants

∴

r c = \frac{10m}{2 \cdot \sin (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

r c = \frac{10}{2 \cdot \sin (\frac{3.1416}{7})}

Next Step Evaluate

∴

r c = 11.5238243548124m

LAST Step Rounding Answer

∴

r c = 11.5238m

Circumradius of Heptagon Formula Elements

Variables

Constants

Functions

Circumradius of Heptagon

Circumradius of Heptagon is the radius of a circumcircle touching each of the vertices of Heptagon.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumradius of Heptagon

Side of Heptagon

Side of Heptagon is the length of the line segment joining two adjacent vertices of Heptagon.

Symbol: S

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side of Heptagon

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 to find Circumradius of Heptagon

Go Circumradius of Heptagon given Area

r c = \frac{\sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{7})}{7}}}{2 \cdot \sin (\frac{π}{7})}

Other formulas in Circumradius of Heptagon category

Go Inradius of Heptagon

r i = \frac{S}{2 \cdot \tan (\frac{π}{7})}

Go Inradius of Heptagon given Area of Triangle

r i = \frac{2 \cdot A Triangle}{S}

How to Evaluate Circumradius of Heptagon?

Circumradius of Heptagon evaluator uses Circumradius of Heptagon = Side of Heptagon/(2*sin(pi/7)) to evaluate the Circumradius of Heptagon, Circumradius of Heptagon is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon. Circumradius of Heptagon is denoted by r_c symbol.

How to evaluate Circumradius of Heptagon using this online evaluator? To use this online evaluator for Circumradius of Heptagon, enter Side of Heptagon (S) and hit the calculate button.

FAQs on Circumradius of Heptagon

What is the formula to find Circumradius of Heptagon?

The formula of Circumradius of Heptagon is expressed as Circumradius of Heptagon = Side of Heptagon/(2*sin(pi/7)). Here is an example- 11.52382 = 10/(2*sin(pi/7)).

How to calculate Circumradius of Heptagon?

With Side of Heptagon (S) we can find Circumradius of Heptagon using the formula - Circumradius of Heptagon = Side of Heptagon/(2*sin(pi/7)). This formula also uses Archimedes' constant and Sine function(s).

What are the other ways to Calculate Circumradius of Heptagon?

Here are the different ways to Calculate Circumradius of Heptagon-

Circumradius of Heptagon=(sqrt((4*Area of Heptagon*tan(pi/7))/7))/(2*sin(pi/7))

Can the Circumradius of Heptagon be negative?

No, the Circumradius of Heptagon, measured in Length cannot be negative.

Which unit is used to measure Circumradius of Heptagon?

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

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