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Height of Heptagon given Circumradius Formula

GoHeight of Heptagon given Inradius 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 = \frac{r c \cdot 2 \cdot \sin (\frac{π}{7})}{2 \cdot \tan (\frac{(\frac{π}{2})}{7})}

h - Height of Heptagon?r_c - Circumradius of Heptagon?π - Archimedes' constant?

Height of Heptagon given Circumradius Example

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

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

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

22.8116 = \frac{12 \cdot 2 \cdot \sin (\frac{3.1416}{7})}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

22.8116m = \frac{12m \cdot 2 \cdot \sin (\frac{3.1416}{7})}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

22.8116 = \frac{12 \cdot 2 \cdot \sin (\frac{3.1416}{7})}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

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2D Geometry » fx Height of Heptagon given Circumradius

Height of Heptagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{12m \cdot 2 \cdot \sin (\frac{π}{7})}{2 \cdot \tan (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Constants

∴

h = \frac{12m \cdot 2 \cdot \sin (\frac{3.1416}{7})}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Prepare to Evaluate

∴

h = \frac{12 \cdot 2 \cdot \sin (\frac{3.1416}{7})}{2 \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}

Next Step Evaluate

∴

h = 22.811626414829m

LAST Step Rounding Answer

∴

h = 22.8116m

Height of Heptagon given Circumradius 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

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

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 Height of Heptagon

Go Height of Heptagon given Inradius

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

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

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

FAQs on Height of Heptagon given Circumradius

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

The formula of Height of Heptagon given Circumradius is expressed as Height of Heptagon = (Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7)). Here is an example- 22.81163 = (12*2*sin(pi/7))/(2*tan(((pi/2))/7)).

How to calculate Height of Heptagon given Circumradius?

With Circumradius of Heptagon (r_c) we can find Height of Heptagon given Circumradius using the formula - Height of Heptagon = (Circumradius of Heptagon*2*sin(pi/7))/(2*tan(((pi/2))/7)). This formula also uses Archimedes' constant and , Sine (sin), Tangent (tan) 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=Inradius of Heptagon*(tan(pi/7))/(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 Circumradius be negative?

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

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

Height of Heptagon given Circumradius 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 Circumradius can be measured.

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