Perimeter of Cardioid given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Perimeter of Cardioid = 8*sqrt((Area of Cardioid)/((3/2)*pi))
PCardioid = 8*sqrt((ACardioid)/((3/2)*pi))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter of Cardioid - (Measured in Meter) - Perimeter of Cardioid is the total distance around the edge of the Cardioid.
Area of Cardioid - (Measured in Square Meter) - Area of Cardioid is the amount of two-dimensional space taken up by the Cardioid.
STEP 1: Convert Input(s) to Base Unit
Area of Cardioid: 500 Square Meter --> 500 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
PCardioid = 8*sqrt((ACardioid)/((3/2)*pi)) --> 8*sqrt((500)/((3/2)*pi))
Evaluating ... ...
PCardioid = 82.4051630982805
STEP 3: Convert Result to Output's Unit
82.4051630982805 Meter --> No Conversion Required
FINAL ANSWER
82.4051630982805 Meter <-- Perimeter of Cardioid
(Calculation completed in 00.015 seconds)

Credits

Created by Prachi
Kamala Nehru College, University of Delhi (KNC), New Delhi
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3 Perimeter of Cardioid Calculators

Perimeter of Cardioid given area
Perimeter of Cardioid = 8*sqrt((Area of Cardioid)/((3/2)*pi)) Go
Perimeter of Cardioid
Perimeter of Cardioid = 8*Diameter of Circle of Cardioid Go
Perimeter of Cardioid given radius
Perimeter of Cardioid = 16*Radius of Circle of Cardioid Go

Perimeter of Cardioid given area Formula

Perimeter of Cardioid = 8*sqrt((Area of Cardioid)/((3/2)*pi))
PCardioid = 8*sqrt((ACardioid)/((3/2)*pi))

What is a Cardioid?

A Cardioid, also known as a heart-shaped curve, is an epicycloid with one arc. It is traced by a point on the perimeter of a circle as it rolls around another identical circle.

How to Calculate Perimeter of Cardioid given area?

Perimeter of Cardioid given area calculator uses Perimeter of Cardioid = 8*sqrt((Area of Cardioid)/((3/2)*pi)) to calculate the Perimeter of Cardioid, The Perimeter of Cardioid given area formula is defined as the total measurement of the length traced by the point that is rolling around a fixed circle of the same radius. Perimeter of Cardioid is denoted by PCardioid symbol.

How to calculate Perimeter of Cardioid given area using this online calculator? To use this online calculator for Perimeter of Cardioid given area, enter Area of Cardioid (ACardioid) and hit the calculate button. Here is how the Perimeter of Cardioid given area calculation can be explained with given input values -> 82.40516 = 8*sqrt((500)/((3/2)*pi)).

FAQ

What is Perimeter of Cardioid given area?
The Perimeter of Cardioid given area formula is defined as the total measurement of the length traced by the point that is rolling around a fixed circle of the same radius and is represented as PCardioid = 8*sqrt((ACardioid)/((3/2)*pi)) or Perimeter of Cardioid = 8*sqrt((Area of Cardioid)/((3/2)*pi)). Area of Cardioid is the amount of two-dimensional space taken up by the Cardioid.
How to calculate Perimeter of Cardioid given area?
The Perimeter of Cardioid given area formula is defined as the total measurement of the length traced by the point that is rolling around a fixed circle of the same radius is calculated using Perimeter of Cardioid = 8*sqrt((Area of Cardioid)/((3/2)*pi)). To calculate Perimeter of Cardioid given area, you need Area of Cardioid (ACardioid). With our tool, you need to enter the respective value for Area of Cardioid 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 Cardioid?
In this formula, Perimeter of Cardioid uses Area of Cardioid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Perimeter of Cardioid = 8*Diameter of Circle of Cardioid
  • Perimeter of Cardioid = 16*Radius of Circle of Cardioid
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