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Area of Circle Formula

GoArea of Circle given Diameter Formula

GoArea 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 = π \cdot r^{2}

A - Area of Circle?r - Radius of Circle?π - Archimedes' constant?

Area of Circle Example

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

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

Here is how the Area of Circle equation looks like.

78.5398 = 3.1416 \cdot 5^{2}

78.5398m² = 3.1416 \cdot {5m}^{2}

78.5398 = 3.1416 \cdot 5^{2}

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Area of Circle Solution

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

FIRST Step Consider the formula

A = π \cdot r^{2}

Next Step Substitute values of Variables

∴

A = π \cdot {5m}^{2}

Next Step Substitute values of Constants

∴

A = 3.1416 \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

A = 3.1416 \cdot 5^{2}

Next Step Evaluate

∴

A = 78.5398163397448m²

LAST Step Rounding Answer

∴

A = 78.5398m²

Area of Circle 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

Radius of Circle

Radius of Circle is the length of any line segment joining the center and any point on the Circle.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 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 given Diameter

A = \frac{π}{4} \cdot D^{2}

Go Area of Circle given Circumference

A = \frac{C^{2}}{4 \cdot π}

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?

Area of Circle evaluator uses Area of Circle = pi*Radius of Circle^2 to evaluate the Area of Circle, Area of Circle formula is defined as the space or region enclosed by a Circle inside its perimeter. Area of Circle is denoted by A symbol.

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

FAQs on Area of Circle

What is the formula to find Area of Circle?

The formula of Area of Circle is expressed as Area of Circle = pi*Radius of Circle^2. Here is an example- 78.53982 = pi*5^2.

How to calculate Area of Circle?

With Radius of Circle (r) we can find Area of Circle using the formula - Area of Circle = pi*Radius of Circle^2. 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/4*Diameter of Circle^2
Area of Circle=Circumference of Circle^2/(4*pi)
Area of Circle=pi*(Chord Length of Circle/(2*sin(Central Angle of Circle/2)))^2

Can the Area of Circle be negative?

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

Which unit is used to measure Area of Circle?

Area of Circle 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 can be measured.

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