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Inradius of Heptagon given Height Formula

GoInradius of Heptagon Formula

GoInradius of Heptagon given Circumradius Formula

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

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

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

Inradius of Heptagon given Height Example

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

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

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

10.427 = \frac{22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{3.1416}{7})}

10.427m = \frac{22m \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{3.1416}{7})}

10.427 = \frac{22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{3.1416}{7})}

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Inradius of Heptagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \frac{22m \cdot \tan (\frac{(\frac{π}{2})}{7})}{\tan (\frac{π}{7})}

Next Step Substitute values of Constants

∴

r i = \frac{22m \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{3.1416}{7})}

Next Step Prepare to Evaluate

∴

r i = \frac{22 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\tan (\frac{3.1416}{7})}

Next Step Evaluate

∴

r i = 10.4269540803814m

LAST Step Rounding Answer

∴

r i = 10.427m

Inradius of Heptagon given Height Formula Elements

Variables

Constants

Functions

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

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

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 Inradius of Heptagon

Go Inradius of Heptagon

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

Go Inradius of Heptagon given Circumradius

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

Go Inradius of Heptagon given Long Diagonal

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

Go Inradius of Heptagon given Short Diagonal

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

How to Evaluate Inradius of Heptagon given Height?

Inradius of Heptagon given Height evaluator uses Inradius of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/tan(pi/7) to evaluate the Inradius of Heptagon, The Inradius of Heptagon given Height formula is defined as the straight line from the centre to any point on the incircle of the Heptagon, calculated using height. Inradius of Heptagon is denoted by r_i symbol.

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

FAQs on Inradius of Heptagon given Height

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

The formula of Inradius of Heptagon given Height is expressed as Inradius of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/tan(pi/7). Here is an example- 10.42695 = (22*tan(((pi/2))/7))/tan(pi/7).

How to calculate Inradius of Heptagon given Height?

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

What are the other ways to Calculate Inradius of Heptagon?

Here are the different ways to Calculate Inradius of Heptagon-

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

Can the Inradius of Heptagon given Height be negative?

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

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

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

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