Area of Cardioid given radius Calculator

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✖Radius of Circle of Cardioid is a radial line from the focus to any point of the circle of Cardioid.ⓘ Radius of Circle of Cardioid [r_Cardioid]

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✖Area of Cardioid is the amount of two-dimensional space taken up by the Cardioid.ⓘ Area of Cardioid given radius [A_Cardioid]

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Area of Cardioid given radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Cardioid = 6*Radius of Circle of Cardioid^2*pi
A_Cardioid = 6*r_Cardioid^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.
Radius of Circle of Cardioid - (Measured in Meter) - Radius of Circle of Cardioid is a radial line from the focus to any point of the circle of Cardioid.

STEP 1: Convert Input(s) to Base Unit

Radius of Circle of Cardioid: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Cardioid = 6*r_Cardioid^2*pi --> 6*5^2*pi

Evaluating ... ...

A_Cardioid = 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)

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Credits

Created by Prachi

Kamala Nehru College, University of Delhi (KNC), New Delhi

Prachi has created this Calculator and 50+ more calculators!

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 given radius Formula

Area of Cardioid = 6*Radius of Circle of Cardioid^2*pi
A_Cardioid = 6*r_Cardioid^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 given radius?

Area of Cardioid given radius calculator uses Area of Cardioid = 6*Radius of Circle of Cardioid^2*pi to calculate the Area of Cardioid, The Area of Cardioid given radius formula is defined as the total space covered by the two-dimensional figure. Area of Cardioid is denoted by A_Cardioid symbol.

How to calculate Area of Cardioid given radius using this online calculator? To use this online calculator for Area of Cardioid given radius, enter Radius of Circle of Cardioid (r_Cardioid) and hit the calculate button. Here is how the Area of Cardioid given radius calculation can be explained with given input values -> 471.2389 = 6*5^2*pi.

FAQ

What is Area of Cardioid given radius?

The Area of Cardioid given radius formula is defined as the total space covered by the two-dimensional figure and is represented as A_Cardioid = 6*r_Cardioid^2*pi or Area of Cardioid = 6*Radius of Circle of Cardioid^2*pi. Radius of Circle of Cardioid is a radial line from the focus to any point of the circle of Cardioid.

How to calculate Area of Cardioid given radius?

The Area of Cardioid given radius formula is defined as the total space covered by the two-dimensional figure is calculated using Area of Cardioid = 6*Radius of Circle of Cardioid^2*pi. To calculate Area of Cardioid given radius, you need Radius of Circle of Cardioid (r_Cardioid). With our tool, you need to enter the respective value for Radius 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 Radius of Circle of Cardioid. We can use 2 other way(s) to calculate the same, which is/are as follows -

Area of Cardioid = (3/2)*Diameter of Circle of Cardioid^2*pi
Area of Cardioid = (3/128)*Perimeter of Cardioid^2*pi

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