Area of Cardioid given radius Calculator

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Geometry	2D Geometry ↺
2D Geometry	Cardioid ↺

✖Radius is a radial line from the focus to any point of a curve.ⓘ Radius [r]

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✖The area is the amount of two-dimensional space taken up by an object.ⓘ Area of Cardioid given radius [A]

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Credits

Prachi

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

Prachi has created this Calculator and 100+ more calculators!

Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

Area of Cardioid given radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

area = 6*Radius^2*pi
A = 6*r^2*pi
This formula uses 1 Constants, 1 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Radius: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = 6*r^2*pi --> 6*10^2*pi

Evaluating ... ...

A = 1884.95559215388

STEP 3: Convert Result to Output's Unit

1884.95559215388 Square Meter --> No Conversion Required

FINAL ANSWER

1884.95559215388 Square Meter <-- Area

(Calculation completed in 00.000 seconds)

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< 10+ Cardioid Calculators

Area of Cardioid given perimeter

area = (3/128)*Perimeter^2*pi Go

Perimeter of Cardioid given area

perimeter = 3.6856*sqrt(Area) Go

Diameter of circle of Cardioid given area

diameter = 0.4607*sqrt(Area) Go

Area of Cardioid

area = (3/2)*Diameter^2*pi Go

Area of Cardioid given radius

area = 6*Radius^2*pi Go

Diameter of circle of Cardioid given perimeter

diameter = Perimeter/8 Go

Perimeter of Cardioid

perimeter = 8*Diameter Go

Perimeter of Cardioid given radius

perimeter = 16*Radius Go

Diameter of the circle of Cardioid

diameter = 2*Radius Go

Radius of circle of Cardioid

radius = Diameter/2 Go

Area of Cardioid given radius Formula

area = 6*Radius^2*pi
A = 6*r^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 = 6*Radius^2*pi to calculate the Area, The Area of Cardioid given radius formula is defined as the total space covered by the two-dimensional figure. Area is denoted by A 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 (r) and hit the calculate button. Here is how the Area of Cardioid given radius calculation can be explained with given input values -> 1884.956 = 6*10^2*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 = 6*r^2*pi or area = 6*Radius^2*pi. Radius is a radial line from the focus to any point of a curve.

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 = 6*Radius^2*pi. To calculate Area of Cardioid given radius, you need Radius (r). With our tool, you need to enter the respective value for Radius 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?

In this formula, Area uses Radius. We can use 10 other way(s) to calculate the same, which is/are as follows -

area = (3/2)*Diameter^2*pi
perimeter = 8*Diameter
diameter = 2*Radius
area = (3/128)*Perimeter^2*pi
area = 6*Radius^2*pi
perimeter = 16*Radius
perimeter = 3.6856*sqrt(Area)
diameter = 0.4607*sqrt(Area)
diameter = Perimeter/8
radius = Diameter/2

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