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Perimeter of Heptagon given Area Formula

GoPerimeter of Heptagon given Long Diagonal Formula

GoPerimeter of Heptagon given Short Diagonal Formula

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

P = 7 \cdot \sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{7})}{7}}

P - Perimeter of Heptagon?A - Area of Heptagon?π - Archimedes' constant?

Perimeter of Heptagon given Area Example

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

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

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

70.1548 = 7 \cdot \sqrt{\frac{4 \cdot 365 \cdot \tan (\frac{3.1416}{7})}{7}}

70.1548m = 7 \cdot \sqrt{\frac{4 \cdot 365m² \cdot \tan (\frac{3.1416}{7})}{7}}

70.1548 = 7 \cdot \sqrt{\frac{4 \cdot 365 \cdot \tan (\frac{3.1416}{7})}{7}}

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Perimeter of Heptagon given Area Solution

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

FIRST Step Consider the formula

P = 7 \cdot \sqrt{\frac{4 \cdot A \cdot \tan (\frac{π}{7})}{7}}

Next Step Substitute values of Variables

∴

P = 7 \cdot \sqrt{\frac{4 \cdot 365m² \cdot \tan (\frac{π}{7})}{7}}

Next Step Substitute values of Constants

∴

P = 7 \cdot \sqrt{\frac{4 \cdot 365m² \cdot \tan (\frac{3.1416}{7})}{7}}

Next Step Prepare to Evaluate

∴

P = 7 \cdot \sqrt{\frac{4 \cdot 365 \cdot \tan (\frac{3.1416}{7})}{7}}

Next Step Evaluate

∴

P = 70.1547760613128m

LAST Step Rounding Answer

∴

P = 70.1548m

Perimeter of Heptagon given Area 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

Area of Heptagon

The Area of Heptagon is the amount of two-dimensional space taken up by the Heptagon.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area 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

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

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 Short Diagonal

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

How to Evaluate Perimeter of Heptagon given Area?

Perimeter of Heptagon given Area evaluator uses Perimeter of Heptagon = 7*sqrt((4*Area of Heptagon*tan(pi/7))/7) to evaluate the Perimeter of Heptagon, The Perimeter of Heptagon given Area formula is defined as the sum of all the sides of Heptagon, calculated using area. Perimeter of Heptagon is denoted by P symbol.

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

FAQs on Perimeter of Heptagon given Area

What is the formula to find Perimeter of Heptagon given Area?

The formula of Perimeter of Heptagon given Area is expressed as Perimeter of Heptagon = 7*sqrt((4*Area of Heptagon*tan(pi/7))/7). Here is an example- 70.15478 = 7*sqrt((4*365*tan(pi/7))/7).

How to calculate Perimeter of Heptagon given Area?

With Area of Heptagon (A) we can find Perimeter of Heptagon given Area using the formula - Perimeter of Heptagon = 7*sqrt((4*Area of Heptagon*tan(pi/7))/7). This formula also uses Archimedes' constant and , Tangent (tan), Square Root (sqrt) 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=7*(Short Diagonal of Heptagon/(2*cos(pi/7)))
Perimeter of Heptagon=14*Height of Heptagon*tan(((pi/2))/7)

Can the Perimeter of Heptagon given Area be negative?

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

Which unit is used to measure Perimeter of Heptagon given Area?

Perimeter of Heptagon given Area 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 Area can be measured.

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