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Circumradius of Heptagon given Height 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 = \frac{h \cdot \tan (\frac{(\frac{π}{2})}{7})}{\sin (\frac{π}{7})}

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

Circumradius of Heptagon given Height Example

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

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

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

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

11.573m = \frac{22m \cdot \tan (\frac{(\frac{3.1416}{2})}{7})}{\sin (\frac{3.1416}{7})}

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

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Circumradius of Heptagon given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r c = 11.5730459196186m

LAST Step Rounding Answer

∴

r c = 11.573m

Circumradius of Heptagon given Height 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

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

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 Inradius

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

How to Evaluate Circumradius of Heptagon given Height?

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

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

FAQs on Circumradius of Heptagon given Height

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

The formula of Circumradius of Heptagon given Height is expressed as Circumradius of Heptagon = (Height of Heptagon*tan(((pi/2))/7))/sin(pi/7). Here is an example- 11.57305 = (22*tan(((pi/2))/7))/sin(pi/7).

How to calculate Circumradius of Heptagon given Height?

With Height of Heptagon (h) we can find Circumradius of Heptagon given Height using the formula - Circumradius of Heptagon = (Height of Heptagon*tan(((pi/2))/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 Height be negative?

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

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

Circumradius 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 Circumradius of Heptagon given Height can be measured.

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