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Area of Circle given Circumference Formula

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Area of Circle is the amount of two-dimensional space taken up by a Circle. Check FAQs

A = \frac{C^{2}}{4 \cdot π}

A - Area of Circle?C - Circumference of Circle?π - Archimedes' constant?

Area of Circle given Circumference Example

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Here is how the Area of Circle given Circumference equation looks like with Values.

Here is how the Area of Circle given Circumference equation looks like with Units.

Here is how the Area of Circle given Circumference equation looks like.

71.6197 = \frac{30^{2}}{4 \cdot 3.1416}

71.6197m² = \frac{{30m}^{2}}{4 \cdot 3.1416}

71.6197 = \frac{30^{2}}{4 \cdot 3.1416}

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Area of Circle given Circumference Solution

Follow our step by step solution on how to calculate Area of Circle given Circumference?

FIRST Step Consider the formula

A = \frac{C^{2}}{4 \cdot π}

Next Step Substitute values of Variables

∴

A = \frac{{30m}^{2}}{4 \cdot π}

Next Step Substitute values of Constants

∴

A = \frac{{30m}^{2}}{4 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

A = \frac{30^{2}}{4 \cdot 3.1416}

Next Step Evaluate

∴

A = 71.6197243913529m²

LAST Step Rounding Answer

∴

A = 71.6197m²

Area of Circle given Circumference Formula Elements

Variables

Constants

Area of Circle

Area of Circle is the amount of two-dimensional space taken up by a Circle.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Circle

Circumference of Circle

Circumference of Circle is the distance around the Circle.

Symbol: C

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumference of Circle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Area of Circle

Go Area of Circle

A = π \cdot r^{2}

Go Area of Circle given Diameter

A = \frac{π}{4} \cdot D^{2}

Go Area of Circle given Chord Length

A = π \cdot {(\frac{l c}{2 \cdot \sin (\frac{∠ Central}{2})})}^{2}

How to Evaluate Area of Circle given Circumference?

Area of Circle given Circumference evaluator uses Area of Circle = Circumference of Circle^2/(4*pi) to evaluate the Area of Circle, Area of Circle given Circumference formula is defined as the amount of 2D space or region enclosed by a Circle inside its perimeter and is calculated using the circumference of the Circle. Area of Circle is denoted by A symbol.

How to evaluate Area of Circle given Circumference using this online evaluator? To use this online evaluator for Area of Circle given Circumference, enter Circumference of Circle (C) and hit the calculate button.

FAQs on Area of Circle given Circumference

What is the formula to find Area of Circle given Circumference?

The formula of Area of Circle given Circumference is expressed as Area of Circle = Circumference of Circle^2/(4*pi). Here is an example- 71.61972 = 30^2/(4*pi).

How to calculate Area of Circle given Circumference?

With Circumference of Circle (C) we can find Area of Circle given Circumference using the formula - Area of Circle = Circumference of Circle^2/(4*pi). This formula also uses Archimedes' constant .

What are the other ways to Calculate Area of Circle?

Here are the different ways to Calculate Area of Circle-

Area of Circle=pi*Radius of Circle^2
Area of Circle=pi/4*Diameter of Circle^2
Area of Circle=pi*(Chord Length of Circle/(2*sin(Central Angle of Circle/2)))^2

Can the Area of Circle given Circumference be negative?

No, the Area of Circle given Circumference, measured in Area cannot be negative.

Which unit is used to measure Area of Circle given Circumference?

Area of Circle given Circumference is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Circle given Circumference can be measured.

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