Perimeter of Heart Shape given Height Calculator

✖The Height of Heart Shape is the distance between the lowest and highest points of the Heart Shape.ⓘ Height of Heart Shape [h]

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✖Perimeter of Heart Shape is the total distance around the edge of the Heart Shape.ⓘ Perimeter of Heart Shape given Height [P]

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Perimeter of Heart Shape given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Heart Shape = (2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2)
P = (2+pi)*h/(3/4*sqrt(2)+1/2)
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Perimeter of Heart Shape - (Measured in Meter) - Perimeter of Heart Shape is the total distance around the edge of the Heart Shape.
Height of Heart Shape - (Measured in Meter) - The Height of Heart Shape is the distance between the lowest and highest points of the Heart Shape.

STEP 1: Convert Input(s) to Base Unit

Height of Heart Shape: 15 Meter --> 15 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = (2+pi)*h/(3/4*sqrt(2)+1/2) --> (2+pi)*15/(3/4*sqrt(2)+1/2)

Evaluating ... ...

P = 49.4174780637175

STEP 3: Convert Result to Output's Unit

49.4174780637175 Meter --> No Conversion Required

FINAL ANSWER

49.4174780637175 ≈ 49.41748 Meter <-- Perimeter of Heart Shape

(Calculation completed in 00.020 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< Perimeter of Heart Shape Calculators

Perimeter of Heart Shape given Area

LaTeX Go Perimeter of Heart Shape = (2+pi)*sqrt(Area of Heart Shape/(1+pi/4))

Perimeter of Heart Shape given Height

LaTeX Go Perimeter of Heart Shape = (2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2)

Perimeter of Heart Shape given Width

LaTeX Go Perimeter of Heart Shape = (2+pi)*Width of Heart Shape/(1/sqrt(2)+1)

Perimeter of Heart Shape

LaTeX Go Perimeter of Heart Shape = (2+pi)*Edge Length of Square of Heart Shape

Perimeter of Heart Shape given Height Formula

LaTeX Go

Perimeter of Heart Shape = (2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2)
P = (2+pi)*h/(3/4*sqrt(2)+1/2)

What is a Heart shape?

The Heart curve is a closed curve, which has the shape of a Heart. The Heart is well known as a figure on playing cards besides diamonds, cross, and spades. If you speak about a heart, you rather mean the heart figure than the Heart-Shaped curve. This Heart is based on a square standing on one tip. On each of its upper two sides, a matching semicircle is attached.

How to Calculate Perimeter of Heart Shape given Height?

Perimeter of Heart Shape given Height calculator uses Perimeter of Heart Shape = (2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2) to calculate 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 calculate Perimeter of Heart Shape given Height using this online calculator? To use this online calculator for Perimeter of Heart Shape given Height, enter Height of Heart Shape (h) and hit the calculate button. Here is how the Perimeter of Heart Shape given Height calculation can be explained with given input values -> 49.41748 = (2+pi)*15/(3/4*sqrt(2)+1/2).

FAQ

What is Perimeter of Heart Shape given Height?

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 and is represented as P = (2+pi)*h/(3/4*sqrt(2)+1/2) or Perimeter of Heart Shape = (2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2). The Height of Heart Shape is the distance between the lowest and highest points of the Heart Shape.

How to calculate Perimeter of Heart Shape given Height?

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 is calculated using Perimeter of Heart Shape = (2+pi)*Height of Heart Shape/(3/4*sqrt(2)+1/2). To calculate Perimeter of Heart Shape given Height, you need Height of Heart Shape (h). With our tool, you need to enter the respective value for Height of Heart Shape and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Perimeter of Heart Shape?

In this formula, Perimeter of Heart Shape uses Height of Heart Shape. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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