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Perimeter of Heart Shape given Height Formula

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GoPerimeter 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{h}{\frac{3}{4} \cdot \sqrt{2} + \frac{1}{2}}

P - Perimeter of Heart Shape?h - Height of Heart Shape?π - Archimedes' constant?

Perimeter of Heart Shape given Height Example

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

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

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

49.4175 = (2 + 3.1416) \cdot \frac{15}{\frac{3}{4} \cdot \sqrt{2} + \frac{1}{2}}

49.4175m = (2 + 3.1416) \cdot \frac{15m}{\frac{3}{4} \cdot \sqrt{2} + \frac{1}{2}}

49.4175 = (2 + 3.1416) \cdot \frac{15}{\frac{3}{4} \cdot \sqrt{2} + \frac{1}{2}}

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Perimeter of Heart Shape given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = (2 + π) \cdot \frac{15m}{\frac{3}{4} \cdot \sqrt{2} + \frac{1}{2}}

Next Step Substitute values of Constants

∴

P = (2 + 3.1416) \cdot \frac{15m}{\frac{3}{4} \cdot \sqrt{2} + \frac{1}{2}}

Next Step Prepare to Evaluate

∴

P = (2 + 3.1416) \cdot \frac{15}{\frac{3}{4} \cdot \sqrt{2} + \frac{1}{2}}

Next Step Evaluate

∴

P = 49.4174780637175m

LAST Step Rounding Answer

∴

P = 49.4175m

Perimeter of Heart Shape given Height 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

Height of Heart Shape

The Height of Heart Shape is the distance between the lowest and highest points of the Heart Shape.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Width

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

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 Height?

Perimeter of Heart Shape given Height evaluator uses Perimeter of Heart Shape = (2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2) to evaluate the Perimeter of Heart Shape, The Perimeter of Heart Shape given Height formula is defined as the length of the outermost parts or boundary of a Heart Shape, calculated using height. Perimeter of Heart Shape is denoted by P symbol.

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

FAQs on Perimeter of Heart Shape given Height

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

The formula of Perimeter of Heart Shape given Height is expressed as Perimeter of Heart Shape = (2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2). Here is an example- 49.41748 = (2+pi)*15/(3/4*sqrt(2)+1/2).

How to calculate Perimeter of Heart Shape given Height?

With Height of Heart Shape (h) we can find Perimeter of Heart Shape given Height using the formula - Perimeter of Heart Shape = (2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2). 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)*Width of Heart Shape/(1/sqrt(2)+1)
Perimeter of Heart Shape=(2+pi)*sqrt(Area of Heart Shape/(1+pi/4))

Can the Perimeter of Heart Shape given Height be negative?

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

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

Perimeter of Heart Shape given Height 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 Height can be measured.

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