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Height of Heptagon given Inradius Formula

GoHeight of Heptagon given Circumradius Formula

GoHeight of Heptagon Formula

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Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side. Check FAQs

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

h - Height of Heptagon?r_i - Inradius of Heptagon?π - Archimedes' constant?

Height of Heptagon given Inradius Example

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

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

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

23.2091 = 11 \cdot \frac{\tan (\frac{3.1416}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

23.2091m = 11m \cdot \frac{\tan (\frac{3.1416}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

23.2091 = 11 \cdot \frac{\tan (\frac{3.1416}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

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Height of Heptagon given Inradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 11m \cdot \frac{\tan (\frac{π}{7})}{\tan (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Constants

∴

h = 11m \cdot \frac{\tan (\frac{3.1416}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Prepare to Evaluate

∴

h = 11 \cdot \frac{\tan (\frac{3.1416}{7})}{\tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Evaluate

∴

h = 23.2090789059222m

LAST Step Rounding Answer

∴

h = 23.2091m

Height of Heptagon given Inradius Formula Elements

Variables

Constants

Functions

Height of Heptagon

Height of Heptagon is the length of a perpendicular line drawn from one vertex to the opposite side.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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

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 Height of Heptagon

Go Height of Heptagon given Circumradius

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

Go Height of Heptagon

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

Go Height of Heptagon given Long Diagonal

h = d Long \cdot \frac{\sin (\frac{(\frac{π}{2})}{7})}{\tan (\frac{(\frac{π}{2})}{7})}

Go Height of Heptagon given Short Diagonal

h = \frac{\frac{d Short}{2 \cdot \cos (\frac{π}{7})}}{2 \cdot \tan (\frac{(\frac{π}{2})}{7})}

How to Evaluate Height of Heptagon given Inradius?

Height of Heptagon given Inradius evaluator uses Height of Heptagon = Inradius of Heptagon*(tan(pi/7))/(tan(((pi/2))/7)) to evaluate the Height of Heptagon, The Height of Heptagon given Inradius formula is defined as the measurement of the length of a perpendicular line drawn from one vertex to the opposite side, calculated using inradius. Height of Heptagon is denoted by h symbol.

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

FAQs on Height of Heptagon given Inradius

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

The formula of Height of Heptagon given Inradius is expressed as Height of Heptagon = Inradius of Heptagon*(tan(pi/7))/(tan(((pi/2))/7)). Here is an example- 23.20908 = 11*(tan(pi/7))/(tan(((pi/2))/7)).

How to calculate Height of Heptagon given Inradius?

With Inradius of Heptagon (r_i) we can find Height of Heptagon given Inradius using the formula - Height of Heptagon = Inradius of Heptagon*(tan(pi/7))/(tan(((pi/2))/7)). This formula also uses Archimedes' constant and Tangent function(s).

What are the other ways to Calculate Height of Heptagon?

Here are the different ways to Calculate Height of Heptagon-

Height of Heptagon=(Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7))
Height of Heptagon=Side of Heptagon/(2*tan(((pi/2))/7))
Height of Heptagon=Long Diagonal of Heptagon*sin(((pi/2))/7)/tan(((pi/2))/7)

Can the Height of Heptagon given Inradius be negative?

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

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

Height 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 Height of Heptagon given Inradius can be measured.

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