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

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Area of Heart Shape given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Area of Heart Shape - (Measured in Square Meter) - Area of Heart Shape is the amount of two dimensional space occupied by the Heart Sahpe.
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

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

Evaluating ... ...

A = 164.930474053315

STEP 3: Convert Result to Output's Unit

164.930474053315 Square Meter --> No Conversion Required

FINAL ANSWER

164.930474053315 ≈ 164.9305 Square Meter <-- Area of Heart Shape

(Calculation completed in 00.008 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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< Area of Heart Shape Calculators

Area of Heart Shape given Height

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

Area of Heart Shape given Width

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

Area of Heart Shape given Perimeter

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

Area of Heart Shape

LaTeX Go Area of Heart Shape = (1+pi/4)*Edge Length of Square of Heart Shape^2

Area of Heart Shape given Height Formula

LaTeX Go

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

Area of Heart Shape given Height calculator uses Area of Heart Shape = (1+pi/4)*(Height of Heart Shape/((3*sqrt(2))/4+1/2))^2 to calculate the Area of Heart Shape, The Area of Heart Shape given Height formula is defined as the measure of the total area that the surface of the object occupies of a Heart Shape, calculated using its height. Area of Heart Shape is denoted by A symbol.

How to calculate Area of Heart Shape given Height using this online calculator? To use this online calculator for Area of Heart Shape given Height, enter Height of Heart Shape (h) and hit the calculate button. Here is how the Area of Heart Shape given Height calculation can be explained with given input values -> 164.9305 = (1+pi/4)*(15/((3*sqrt(2))/4+1/2))^2.

FAQ

What is Area of Heart Shape given Height?

The Area of Heart Shape given Height formula is defined as the measure of the total area that the surface of the object occupies of a Heart Shape, calculated using its height and is represented as A = (1+pi/4)*(h/((3*sqrt(2))/4+1/2))^2 or Area of Heart Shape = (1+pi/4)*(Height of Heart Shape/((3*sqrt(2))/4+1/2))^2. The Height of Heart Shape is the distance between the lowest and highest points of the Heart Shape.

How to calculate Area of Heart Shape given Height?

The Area of Heart Shape given Height formula is defined as the measure of the total area that the surface of the object occupies of a Heart Shape, calculated using its height is calculated using Area of Heart Shape = (1+pi/4)*(Height of Heart Shape/((3*sqrt(2))/4+1/2))^2. To calculate Area 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 Area of Heart Shape?

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

Area of Heart Shape = (1+pi/4)*Edge Length of Square of Heart Shape^2
Area of Heart Shape = (1+pi/4)*(Width of Heart Shape/(1/sqrt(2)+1))^2
Area of Heart Shape = (1+pi/4)*(Perimeter of Heart Shape/(2+pi))^2

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