Height of Heart Shape given Area Calculator

✖Area of Heart Shape is the amount of two dimensional space occupied by the Heart Sahpe.ⓘ Area of Heart Shape [A]

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

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Height of Heart Shape given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Height of Heart Shape = ((3*sqrt(2))/4+1/2)*sqrt(Area of Heart Shape/(1+pi/4))
h = ((3*sqrt(2))/4+1/2)*sqrt(A/(1+pi/4))
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.
Area of Heart Shape - (Measured in Square Meter) - Area of Heart Shape is the amount of two dimensional space occupied by the Heart Sahpe.

STEP 1: Convert Input(s) to Base Unit

Area of Heart Shape: 180 Square Meter --> 180 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h = ((3*sqrt(2))/4+1/2)*sqrt(A/(1+pi/4)) --> ((3*sqrt(2))/4+1/2)*sqrt(180/(1+pi/4))

Evaluating ... ...

h = 15.6702908741996

STEP 3: Convert Result to Output's Unit

15.6702908741996 Meter --> No Conversion Required

FINAL ANSWER

15.6702908741996 ≈ 15.67029 Meter <-- Height 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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< 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 Area Formula

LaTeX Go

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

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 Area?

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

How to calculate Height of Heart Shape given Area using this online calculator? To use this online calculator for Height of Heart Shape given Area, enter Area of Heart Shape (A) and hit the calculate button. Here is how the Height of Heart Shape given Area calculation can be explained with given input values -> 15.67029 = ((3*sqrt(2))/4+1/2)*sqrt(180/(1+pi/4)).

FAQ

What is Height of Heart Shape given Area?

The Height of Heart Shape given Area formula is defined as the measure of vertical distance from one top to bottom face of heart shape, calculated using its area and is represented as h = ((3*sqrt(2))/4+1/2)*sqrt(A/(1+pi/4)) or Height of Heart Shape = ((3*sqrt(2))/4+1/2)*sqrt(Area of Heart Shape/(1+pi/4)). Area of Heart Shape is the amount of two dimensional space occupied by the Heart Sahpe.

How to calculate Height of Heart Shape given Area?

The Height of Heart Shape given Area formula is defined as the measure of vertical distance from one top to bottom face of heart shape, calculated using its area is calculated using Height of Heart Shape = ((3*sqrt(2))/4+1/2)*sqrt(Area of Heart Shape/(1+pi/4)). To calculate Height of Heart Shape given Area, you need Area of Heart Shape (A). With our tool, you need to enter the respective value for Area 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 Area 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)*Perimeter of Heart Shape/(2+pi)

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