Area of Cardioid Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Cardioid = (3/2)*Diameter of Circle of Cardioid^2*pi
A = (3/2)*D^2*pi
This formula uses 1 Constants, 2 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Area of Cardioid - (Measured in Square Meter) - Area of Cardioid is the amount of two-dimensional space taken up by the Cardioid.
Diameter of Circle of Cardioid - (Measured in Meter) - Diameter of Circle of Cardioid is a straight line passing from side to side through the center of circle of Cardioid.
STEP 1: Convert Input(s) to Base Unit
Diameter of Circle of Cardioid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (3/2)*D^2*pi --> (3/2)*10^2*pi
Evaluating ... ...
A = 471.238898038469
STEP 3: Convert Result to Output's Unit
471.238898038469 Square Meter --> No Conversion Required
FINAL ANSWER
471.238898038469 Square Meter <-- Area of Cardioid
(Calculation completed in 00.000 seconds)

Credits

Created by Prachi
Kamala Nehru College, University of Delhi (KNC), New Delhi
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Verified by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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3 Area of Cardioid Calculators

Area of Cardioid
Area of Cardioid = (3/2)*Diameter of Circle of Cardioid^2*pi Go
Area of Cardioid given radius
Area of Cardioid = 6*Radius of Circle of Cardioid^2*pi Go
Area of Cardioid given perimeter
Area of Cardioid = (3/128)*Perimeter of Cardioid^2*pi Go

Area of Cardioid Formula

Area of Cardioid = (3/2)*Diameter of Circle of Cardioid^2*pi
A = (3/2)*D^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 Area of Cardioid?

Area of Cardioid calculator uses Area of Cardioid = (3/2)*Diameter of Circle of Cardioid^2*pi to calculate the Area of Cardioid, The Area of Cardioid formula is defined as the total space covered by the two-dimensional figure. Area of Cardioid is denoted by A symbol.

How to calculate Area of Cardioid using this online calculator? To use this online calculator for Area of Cardioid, enter Diameter of Circle of Cardioid (D) and hit the calculate button. Here is how the Area of Cardioid calculation can be explained with given input values -> 471.2389 = (3/2)*10^2*pi.

FAQ

What is Area of Cardioid?
The Area of Cardioid formula is defined as the total space covered by the two-dimensional figure and is represented as A = (3/2)*D^2*pi or Area of Cardioid = (3/2)*Diameter of Circle of Cardioid^2*pi. Diameter of Circle of Cardioid is a straight line passing from side to side through the center of circle of Cardioid.
How to calculate Area of Cardioid?
The Area of Cardioid formula is defined as the total space covered by the two-dimensional figure is calculated using Area of Cardioid = (3/2)*Diameter of Circle of Cardioid^2*pi. To calculate Area of Cardioid, you need Diameter of Circle of Cardioid (D). With our tool, you need to enter the respective value for Diameter of Circle 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 Area of Cardioid?
In this formula, Area of Cardioid uses Diameter of Circle of Cardioid. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Area of Cardioid = (3/128)*Perimeter of Cardioid^2*pi
  • Area of Cardioid = 6*Radius of Circle of Cardioid^2*pi
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