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Short Diagonal of Heptagon given Circumradius Formula

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Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon. Check FAQs

d Short = 4 \cdot r c \cdot \sin (\frac{π}{7}) \cdot \cos (\frac{π}{7})

d_Short - Short Diagonal of Heptagon?r_c - Circumradius of Heptagon?π - Archimedes' constant?

Short Diagonal of Heptagon given Circumradius Example

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

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

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

18.764 = 4 \cdot 12 \cdot \sin (\frac{3.1416}{7}) \cdot \cos (\frac{3.1416}{7})

18.764m = 4 \cdot 12m \cdot \sin (\frac{3.1416}{7}) \cdot \cos (\frac{3.1416}{7})

18.764 = 4 \cdot 12 \cdot \sin (\frac{3.1416}{7}) \cdot \cos (\frac{3.1416}{7})

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Short Diagonal of Heptagon given Circumradius Solution

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

FIRST Step Consider the formula

d Short = 4 \cdot r c \cdot \sin (\frac{π}{7}) \cdot \cos (\frac{π}{7})

Next Step Substitute values of Variables

∴

d Short = 4 \cdot 12m \cdot \sin (\frac{π}{7}) \cdot \cos (\frac{π}{7})

Next Step Substitute values of Constants

∴

d Short = 4 \cdot 12m \cdot \sin (\frac{3.1416}{7}) \cdot \cos (\frac{3.1416}{7})

Next Step Prepare to Evaluate

∴

d Short = 4 \cdot 12 \cdot \sin (\frac{3.1416}{7}) \cdot \cos (\frac{3.1416}{7})

Next Step Evaluate

∴

d Short = 18.7639555792327m

LAST Step Rounding Answer

∴

d Short = 18.764m

Short Diagonal of Heptagon given Circumradius Formula Elements

Variables

Constants

Functions

Short Diagonal of Heptagon

Short Diagonal of Heptagon is the length of the straight line joining two non-adjacent vertices across the two sides of the Heptagon.

Symbol: d_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short 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)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Short Diagonal of Heptagon

Go Short Diagonal of Heptagon

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

Go Short Diagonal of Heptagon given Long Diagonal

d Short = 4 \cdot d Long \cdot \sin (\frac{(\frac{π}{2})}{7}) \cdot \cos (\frac{π}{7})

Go Short Diagonal of Heptagon given Height

d Short = 4 \cdot h \cdot \tan (\frac{(\frac{π}{2})}{7}) \cdot \cos (\frac{π}{7})

Go Short Diagonal of Heptagon given Perimeter

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

How to Evaluate Short Diagonal of Heptagon given Circumradius?

Short Diagonal of Heptagon given Circumradius evaluator uses Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7) to evaluate the Short Diagonal of Heptagon, The Short Diagonal of Heptagon given Circumradius formula is defined as a straight line joining two non-adjacent vertices of the Heptagon across the two sides, calculated using circumradius. Short Diagonal of Heptagon is denoted by d_Short symbol.

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

FAQs on Short Diagonal of Heptagon given Circumradius

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

The formula of Short Diagonal of Heptagon given Circumradius is expressed as Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7). Here is an example- 18.76396 = 4*12*sin(pi/7)*cos(pi/7).

How to calculate Short Diagonal of Heptagon given Circumradius?

With Circumradius of Heptagon (r_c) we can find Short Diagonal of Heptagon given Circumradius using the formula - Short Diagonal of Heptagon = 4*Circumradius of Heptagon*sin(pi/7)*cos(pi/7). This formula also uses Archimedes' constant and , Sine (sin), Cosine (cos) function(s).

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

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

Short Diagonal of Heptagon=2*Side of Heptagon*cos(pi/7)
Short Diagonal of Heptagon=4*Long Diagonal of Heptagon*sin(((pi/2))/7)*cos(pi/7)
Short Diagonal of Heptagon=4*Height of Heptagon*tan(((pi/2))/7)*cos(pi/7)

Can the Short Diagonal of Heptagon given Circumradius be negative?

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

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

Short 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 Short Diagonal of Heptagon given Circumradius can be measured.

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