Height of Heart Shape given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Height of Heart Shape = ((3*sqrt(2))/4+1/2)*Perimeter of Heart Shape/(2+pi)
h = ((3*sqrt(2))/4+1/2)*P/(2+pi)
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
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.
Perimeter of Heart Shape - (Measured in Meter) - Perimeter of Heart Shape is the total distance around the edge of the Heart Shape.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Heart Shape: 50 Meter --> 50 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
h = ((3*sqrt(2))/4+1/2)*P/(2+pi) --> ((3*sqrt(2))/4+1/2)*50/(2+pi)
Evaluating ... ...
h = 15.1768165715169
STEP 3: Convert Result to Output's Unit
15.1768165715169 Meter --> No Conversion Required
FINAL ANSWER
15.1768165715169 15.17682 Meter <-- Height 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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Height of Heart Shape Calculators

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

Height of Heart Shape given Perimeter Formula

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

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 Height of Heart Shape given Perimeter?

Height of Heart Shape given Perimeter calculator uses Height of Heart Shape = ((3*sqrt(2))/4+1/2)*Perimeter of Heart Shape/(2+pi) to calculate the Height of Heart Shape, The Height of Heart Shape given Perimeter formula is defined as the measure of vertical distance from one top to bottom face of the Heart Shape, calculated using its perimeter. Height of Heart Shape is denoted by h symbol.

How to calculate Height of Heart Shape given Perimeter using this online calculator? To use this online calculator for Height of Heart Shape given Perimeter, enter Perimeter of Heart Shape (P) and hit the calculate button. Here is how the Height of Heart Shape given Perimeter calculation can be explained with given input values -> 15.17682 = ((3*sqrt(2))/4+1/2)*50/(2+pi).

FAQ

What is Height of Heart Shape given Perimeter?
The Height of Heart Shape given Perimeter formula is defined as the measure of vertical distance from one top to bottom face of the Heart Shape, calculated using its perimeter and is represented as h = ((3*sqrt(2))/4+1/2)*P/(2+pi) or Height of Heart Shape = ((3*sqrt(2))/4+1/2)*Perimeter of Heart Shape/(2+pi). Perimeter of Heart Shape is the total distance around the edge of the Heart Shape.
How to calculate Height of Heart Shape given Perimeter?
The Height of Heart Shape given Perimeter formula is defined as the measure of vertical distance from one top to bottom face of the Heart Shape, calculated using its perimeter is calculated using Height of Heart Shape = ((3*sqrt(2))/4+1/2)*Perimeter of Heart Shape/(2+pi). To calculate Height of Heart Shape given Perimeter, you need Perimeter of Heart Shape (P). With our tool, you need to enter the respective value for Perimeter 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 Height of Heart Shape?
In this formula, Height of Heart Shape uses Perimeter of Heart Shape. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Height of Heart Shape = ((3*sqrt(2))/4+1/2)*Edge Length of Square of Heart Shape
  • Height of Heart Shape = ((3*sqrt(2))/4+1/2)*Width of Heart Shape/(1/sqrt(2)+1)
  • Height of Heart Shape = ((3*sqrt(2))/4+1/2)*sqrt(Area of Heart Shape/(1+pi/4))
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