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Circumradius of Heptagon given Inradius Formula

GoCircumradius of Heptagon Formula

GoCircumradius of Heptagon given Long Diagonal 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 = r i \cdot \frac{\tan (\frac{π}{7})}{\sin (\frac{π}{7})}

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

Circumradius of Heptagon given Inradius Example

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

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

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

12.2091 = 11 \cdot \frac{\tan (\frac{3.1416}{7})}{\sin (\frac{3.1416}{7})}

12.2091m = 11m \cdot \frac{\tan (\frac{3.1416}{7})}{\sin (\frac{3.1416}{7})}

12.2091 = 11 \cdot \frac{\tan (\frac{3.1416}{7})}{\sin (\frac{3.1416}{7})}

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Circumradius of Heptagon given Inradius Solution

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

FIRST Step Consider the formula

r c = r i \cdot \frac{\tan (\frac{π}{7})}{\sin (\frac{π}{7})}

Next Step Substitute values of Variables

∴

r c = 11m \cdot \frac{\tan (\frac{π}{7})}{\sin (\frac{π}{7})}

Next Step Substitute values of Constants

∴

r c = 11m \cdot \frac{\tan (\frac{3.1416}{7})}{\sin (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

r c = 11 \cdot \frac{\tan (\frac{3.1416}{7})}{\sin (\frac{3.1416}{7})}

Next Step Evaluate

∴

r c = 12.2090789059222m

LAST Step Rounding Answer

∴

r c = 12.2091m

Circumradius of Heptagon given Inradius 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

Inradius of Heptagon

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

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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)

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 Heptagon

Go Circumradius of Heptagon

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

Go Circumradius of Heptagon given Long Diagonal

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

Go Circumradius of Heptagon given Short Diagonal

r c = \frac{\frac{d Short}{2 \cdot \cos (\frac{π}{7})}}{2 \cdot \sin (\frac{π}{7})}

Go Circumradius of Heptagon given Height

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

How to Evaluate Circumradius of Heptagon given Inradius?

Circumradius of Heptagon given Inradius evaluator uses Circumradius of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7) to evaluate the Circumradius of Heptagon, The Circumradius of Heptagon given Inradius formula is defined as the length of the straight line from the centre to any point on the circumcircle of the Heptagon, calculated using inradius. Circumradius of Heptagon is denoted by r_c symbol.

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

FAQs on Circumradius of Heptagon given Inradius

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

The formula of Circumradius of Heptagon given Inradius is expressed as Circumradius of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7). Here is an example- 12.20908 = 11*tan(pi/7)/sin(pi/7).

How to calculate Circumradius of Heptagon given Inradius?

With Inradius of Heptagon (r_i) we can find Circumradius of Heptagon given Inradius using the formula - Circumradius of Heptagon = Inradius of Heptagon*tan(pi/7)/sin(pi/7). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan) 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=Side of Heptagon/(2*sin(pi/7))
Circumradius of Heptagon=Long Diagonal of Heptagon*sin(((pi/2))/7)/sin(pi/7)
Circumradius of Heptagon=(Short Diagonal of Heptagon/(2*cos(pi/7)))/(2*sin(pi/7))

Can the Circumradius of Heptagon given Inradius be negative?

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

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

Circumradius of Heptagon 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 Heptagon given Inradius can be measured.

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