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Perimeter of Heart Shape given Width Formula

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Perimeter of Heart Shape is the total distance around the edge of the Heart Shape. Check FAQs

P = (2 + π) \cdot \frac{w}{\frac{1}{\sqrt{2}} + 1}

P - Perimeter of Heart Shape?w - Width of Heart Shape?π - Archimedes' constant?

Perimeter of Heart Shape given Width Example

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Here is how the Perimeter of Heart Shape given Width equation looks like with Values.

Here is how the Perimeter of Heart Shape given Width equation looks like with Units.

Here is how the Perimeter of Heart Shape given Width equation looks like.

51.2019 = (2 + 3.1416) \cdot \frac{17}{\frac{1}{\sqrt{2}} + 1}

51.2019m = (2 + 3.1416) \cdot \frac{17m}{\frac{1}{\sqrt{2}} + 1}

51.2019 = (2 + 3.1416) \cdot \frac{17}{\frac{1}{\sqrt{2}} + 1}

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Perimeter of Heart Shape given Width Solution

Follow our step by step solution on how to calculate Perimeter of Heart Shape given Width?

FIRST Step Consider the formula

P = (2 + π) \cdot \frac{w}{\frac{1}{\sqrt{2}} + 1}

Next Step Substitute values of Variables

∴

P = (2 + π) \cdot \frac{17m}{\frac{1}{\sqrt{2}} + 1}

Next Step Substitute values of Constants

∴

P = (2 + 3.1416) \cdot \frac{17m}{\frac{1}{\sqrt{2}} + 1}

Next Step Prepare to Evaluate

∴

P = (2 + 3.1416) \cdot \frac{17}{\frac{1}{\sqrt{2}} + 1}

Next Step Evaluate

∴

P = 51.2018791526755m

LAST Step Rounding Answer

∴

P = 51.2019m

Perimeter of Heart Shape given Width Formula Elements

Variables

Constants

Functions

Perimeter of Heart Shape

Perimeter of Heart Shape is the total distance around the edge of the Heart Shape.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Heart Shape

Width of Heart Shape

The Width of Heart Shape is the measurement or extent of the shape from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Heart Shape

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

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 Heart Shape

Go Perimeter of Heart Shape

P = (2 + π) \cdot l e(Square)

Go Perimeter of Heart Shape given Height

P = (2 + π) \cdot \frac{h}{\frac{3}{4} \cdot \sqrt{2} + \frac{1}{2}}

Go Perimeter of Heart Shape given Area

P = (2 + π) \cdot \sqrt{\frac{A}{1 + \frac{π}{4}}}

How to Evaluate Perimeter of Heart Shape given Width?

Perimeter of Heart Shape given Width evaluator uses Perimeter of Heart Shape = (2+pi)*Width of Heart Shape/(1/sqrt(2)+1) to evaluate the Perimeter of Heart Shape, The Perimeter of Heart Shape given Width formula is defined as the length of the outermost parts or boundary of a Heart Shape, calculated using width. Perimeter of Heart Shape is denoted by P symbol.

How to evaluate Perimeter of Heart Shape given Width using this online evaluator? To use this online evaluator for Perimeter of Heart Shape given Width, enter Width of Heart Shape (w) and hit the calculate button.

FAQs on Perimeter of Heart Shape given Width

What is the formula to find Perimeter of Heart Shape given Width?

The formula of Perimeter of Heart Shape given Width is expressed as Perimeter of Heart Shape = (2+pi)*Width of Heart Shape/(1/sqrt(2)+1). Here is an example- 51.20188 = (2+pi)*17/(1/sqrt(2)+1).

How to calculate Perimeter of Heart Shape given Width?

With Width of Heart Shape (w) we can find Perimeter of Heart Shape given Width using the formula - Perimeter of Heart Shape = (2+pi)*Width of Heart Shape/(1/sqrt(2)+1). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Heart Shape?

Here are the different ways to Calculate Perimeter of Heart Shape-

Perimeter of Heart Shape=(2+pi)*Edge Length of Square of Heart Shape
Perimeter of Heart Shape=(2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2)
Perimeter of Heart Shape=(2+pi)*sqrt(Area of Heart Shape/(1+pi/4))

Can the Perimeter of Heart Shape given Width be negative?

No, the Perimeter of Heart Shape given Width, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Heart Shape given Width?

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

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