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Perimeter of Heptagon given Short Diagonal Formula

GoPerimeter of Heptagon given Long Diagonal Formula

GoPerimeter of Heptagon given Height Formula

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Perimeter of Heptagon is the total length around the edge of the Heptagon. Check FAQs

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

P - Perimeter of Heptagon?d_Short - Short Diagonal of Heptagon?π - Archimedes' constant?

Perimeter of Heptagon given Short Diagonal Example

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

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

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

69.9247 = 7 \cdot (\frac{18}{2 \cdot \cos (\frac{3.1416}{7})})

69.9247m = 7 \cdot (\frac{18m}{2 \cdot \cos (\frac{3.1416}{7})})

69.9247 = 7 \cdot (\frac{18}{2 \cdot \cos (\frac{3.1416}{7})})

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Perimeter of Heptagon given Short Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = 7 \cdot (\frac{18m}{2 \cdot \cos (\frac{π}{7})})

Next Step Substitute values of Constants

∴

P = 7 \cdot (\frac{18m}{2 \cdot \cos (\frac{3.1416}{7})})

Next Step Prepare to Evaluate

∴

P = 7 \cdot (\frac{18}{2 \cdot \cos (\frac{3.1416}{7})})

Next Step Evaluate

∴

P = 69.9247246430088m

LAST Step Rounding Answer

∴

P = 69.9247m

Perimeter of Heptagon given Short Diagonal Formula Elements

Variables

Constants

Functions

Perimeter of Heptagon

Perimeter of Heptagon is the total length around the edge of the Heptagon.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Heptagon

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

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

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 Perimeter of Heptagon

Go Perimeter of Heptagon given Long Diagonal

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

Go Perimeter of Heptagon given Height

P = 14 \cdot h \cdot \tan (\frac{(\frac{π}{2})}{7})

Go Perimeter of Heptagon given Circumradius

P = 14 \cdot r c \cdot \sin (\frac{π}{7})

Go Perimeter of Heptagon given Inradius

P = 14 \cdot r i \cdot \tan (\frac{π}{7})

How to Evaluate Perimeter of Heptagon given Short Diagonal?

Perimeter of Heptagon given Short Diagonal evaluator uses Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7))) to evaluate the Perimeter of Heptagon, The Perimeter of Heptagon given Short Diagonal formula is defined as the sum of all the sides of Heptagon, calculated using short diagonal. Perimeter of Heptagon is denoted by P symbol.

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

FAQs on Perimeter of Heptagon given Short Diagonal

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

The formula of Perimeter of Heptagon given Short Diagonal is expressed as Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7))). Here is an example- 69.92472 = 7*(18/(2*cos(pi/7))).

How to calculate Perimeter of Heptagon given Short Diagonal?

With Short Diagonal of Heptagon (d_Short) we can find Perimeter of Heptagon given Short Diagonal using the formula - Perimeter of Heptagon = 7*(Short Diagonal of Heptagon/(2*cos(pi/7))). This formula also uses Archimedes' constant and Cosine (cos) function(s).

What are the other ways to Calculate Perimeter of Heptagon?

Here are the different ways to Calculate Perimeter of Heptagon-

Perimeter of Heptagon=7*(Long Diagonal of Heptagon*2*sin(((pi/2))/7))
Perimeter of Heptagon=14*Height of Heptagon*tan(((pi/2))/7)
Perimeter of Heptagon=14*Circumradius of Heptagon*sin(pi/7)

Can the Perimeter of Heptagon given Short Diagonal be negative?

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

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

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

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