Perimeter of Heart Shape given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Heart Shape = (2+pi)*Width of Heart Shape/(1/sqrt(2)+1)
P = (2+pi)*w/(1/sqrt(2)+1)
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.
Width of Heart Shape - (Measured in Meter) - The Width of Heart Shape is the measurement or extent of the shape from side to side.
STEP 1: Convert Input(s) to Base Unit
Width of Heart Shape: 17 Meter --> 17 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = (2+pi)*w/(1/sqrt(2)+1) --> (2+pi)*17/(1/sqrt(2)+1)
Evaluating ... ...
P = 51.2018791526755
STEP 3: Convert Result to Output's Unit
51.2018791526755 Meter --> No Conversion Required
FINAL ANSWER
51.2018791526755 51.20188 Meter <-- Perimeter of Heart Shape
(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru
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4 Perimeter of Heart Shape Calculators

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

Perimeter of Heart Shape given Width Formula

Perimeter of Heart Shape = (2+pi)*Width of Heart Shape/(1/sqrt(2)+1)
P = (2+pi)*w/(1/sqrt(2)+1)

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 Width?

Perimeter of Heart Shape given Width calculator uses Perimeter of Heart Shape = (2+pi)*Width of Heart Shape/(1/sqrt(2)+1) to calculate the Perimeter of Heart Shape, The Perimeter of Heart Shape given Width formula is defined as the length of the outermost parts or boundary of a Heart Shape, calculated using width. Perimeter of Heart Shape is denoted by P symbol.

How to calculate Perimeter of Heart Shape given Width using this online calculator? To use this online calculator for Perimeter of Heart Shape given Width, enter Width of Heart Shape (w) and hit the calculate button. Here is how the Perimeter of Heart Shape given Width calculation can be explained with given input values -> 51.20188 = (2+pi)*17/(1/sqrt(2)+1).

FAQ

What is Perimeter of Heart Shape given Width?
The Perimeter of Heart Shape given Width formula is defined as the length of the outermost parts or boundary of a Heart Shape, calculated using width and is represented as P = (2+pi)*w/(1/sqrt(2)+1) or Perimeter of Heart Shape = (2+pi)*Width of Heart Shape/(1/sqrt(2)+1). The Width of Heart Shape is the measurement or extent of the shape from side to side.
How to calculate Perimeter of Heart Shape given Width?
The Perimeter of Heart Shape given Width formula is defined as the length of the outermost parts or boundary of a Heart Shape, calculated using width is calculated using Perimeter of Heart Shape = (2+pi)*Width of Heart Shape/(1/sqrt(2)+1). To calculate Perimeter of Heart Shape given Width, you need Width of Heart Shape (w). With our tool, you need to enter the respective value for Width 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 Width 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)*Height of Heart Shape/(3/4*sqrt(2)+1/2)
  • Perimeter of Heart Shape = (2+pi)*sqrt(Area of Heart Shape/(1+pi/4))
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