Width of Heart Shape given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Heart Shape = (1/sqrt(2)+1)*Height of Heart Shape/((3*sqrt(2))/4+1/2)
w = (1/sqrt(2)+1)*h/((3*sqrt(2))/4+1/2)
This formula uses 1 Functions, 2 Variables
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
Width of Heart Shape - (Measured in Meter) - The Width of Heart Shape is the measurement or extent of the shape from side to side.
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
w = (1/sqrt(2)+1)*h/((3*sqrt(2))/4+1/2) --> (1/sqrt(2)+1)*15/((3*sqrt(2))/4+1/2)
Evaluating ... ...
w = 16.4075448203408
STEP 3: Convert Result to Output's Unit
16.4075448203408 Meter --> No Conversion Required
FINAL ANSWER
16.4075448203408 16.40754 Meter <-- Width of Heart Shape
(Calculation completed in 00.004 seconds)

Credits

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Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Width of Heart Shape Calculators

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

Width of Heart Shape given Height Formula

​LaTeX ​Go
Width of Heart Shape = (1/sqrt(2)+1)*Height of Heart Shape/((3*sqrt(2))/4+1/2)
w = (1/sqrt(2)+1)*h/((3*sqrt(2))/4+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 Width of Heart Shape given Height?

Width of Heart Shape given Height calculator uses Width of Heart Shape = (1/sqrt(2)+1)*Height of Heart Shape/((3*sqrt(2))/4+1/2) to calculate the Width of Heart Shape, The Width of Heart Shape given Height formula is defined as the distance or measurement from side to side of Heart Shape, calculated using height. Width of Heart Shape is denoted by w symbol.

How to calculate Width of Heart Shape given Height using this online calculator? To use this online calculator for Width of Heart Shape given Height, enter Height of Heart Shape (h) and hit the calculate button. Here is how the Width of Heart Shape given Height calculation can be explained with given input values -> 16.40754 = (1/sqrt(2)+1)*15/((3*sqrt(2))/4+1/2).

FAQ

What is Width of Heart Shape given Height?
The Width of Heart Shape given Height formula is defined as the distance or measurement from side to side of Heart Shape, calculated using height and is represented as w = (1/sqrt(2)+1)*h/((3*sqrt(2))/4+1/2) or Width of Heart Shape = (1/sqrt(2)+1)*Height of Heart Shape/((3*sqrt(2))/4+1/2). The Height of Heart Shape is the distance between the lowest and highest points of the Heart Shape.
How to calculate Width of Heart Shape given Height?
The Width of Heart Shape given Height formula is defined as the distance or measurement from side to side of Heart Shape, calculated using height is calculated using Width of Heart Shape = (1/sqrt(2)+1)*Height of Heart Shape/((3*sqrt(2))/4+1/2). To calculate Width 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 Width of Heart Shape?
In this formula, Width of Heart Shape uses Height of Heart Shape. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Width of Heart Shape = (1/sqrt(2)+1)*Edge Length of Square of Heart Shape
  • Width of Heart Shape = (1/sqrt(2)+1)*Perimeter of Heart Shape/(2+pi)
  • Width of Heart Shape = (1/sqrt(2)+1)*sqrt(Area of Heart Shape/(1+pi/4))
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