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Long Diagonal of Heptagon given Circumradius Formula

GoLong Diagonal of Heptagon Formula

GoLong Diagonal of Heptagon given Short Diagonal Formula

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Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon. Check FAQs

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

d_Long - Long Diagonal of Heptagon?r_c - Circumradius of Heptagon?π - Archimedes' constant?

Long Diagonal of Heptagon given Circumradius Example

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

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

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

23.3983 = 12 \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

23.3983m = 12m \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

23.3983 = 12 \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

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Long Diagonal of Heptagon given Circumradius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = 12m \cdot \frac{\sin (\frac{π}{7})}{\sin (\frac{(\frac{π}{2})}{7})}

Next Step Substitute values of Constants

∴

d Long = 12m \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

Next Step Prepare to Evaluate

∴

d Long = 12 \cdot \frac{\sin (\frac{3.1416}{7})}{\sin (\frac{(\frac{3.1416}{2})}{7})}

Next Step Evaluate

∴

d Long = 23.3982698923638m

LAST Step Rounding Answer

∴

d Long = 23.3983m

Long Diagonal of Heptagon given Circumradius Formula Elements

Variables

Constants

Functions

Long Diagonal of Heptagon

Long Diagonal of Heptagon is the straight line joining two non-adjacent vertices which is across three sides of the Heptagon.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal 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)

Other Formulas to find Long Diagonal of Heptagon

Go Long Diagonal of Heptagon

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

Go Long Diagonal of Heptagon given Short Diagonal

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

Go Long Diagonal of Heptagon given Height

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

Go Long Diagonal of Heptagon given Perimeter

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

How to Evaluate Long Diagonal of Heptagon given Circumradius?

Long Diagonal of Heptagon given Circumradius evaluator uses Long Diagonal of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7) to evaluate the Long Diagonal of Heptagon, The Long Diagonal of Heptagon given Circumradius formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the three sides, calculated using circumradius. Long Diagonal of Heptagon is denoted by d_Long symbol.

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

FAQs on Long Diagonal of Heptagon given Circumradius

What is the formula to find Long Diagonal of Heptagon given Circumradius?

The formula of Long Diagonal of Heptagon given Circumradius is expressed as Long Diagonal of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7). Here is an example- 23.39827 = 12*sin(pi/7)/sin(((pi/2))/7).

How to calculate Long Diagonal of Heptagon given Circumradius?

With Circumradius of Heptagon (r_c) we can find Long Diagonal of Heptagon given Circumradius using the formula - Long Diagonal of Heptagon = Circumradius of Heptagon*sin(pi/7)/sin(((pi/2))/7). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Long Diagonal of Heptagon?

Here are the different ways to Calculate Long Diagonal of Heptagon-

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

Can the Long Diagonal of Heptagon given Circumradius be negative?

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

Which unit is used to measure Long Diagonal of Heptagon given Circumradius?

Long Diagonal 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 Long Diagonal of Heptagon given Circumradius can be measured.

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