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Area of Circular Sector Formula

GoArea of Circular Sector given Arc Length Formula

GoArea of Circular Sector given Area of Circle Formula

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Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector. Check FAQs

A = \frac{∠ Sector}{2} \cdot r^{2}

A - Area of Circular Sector?∠_Sector - Angle of Circular Sector?r - Radius of Circular Sector?

Area of Circular Sector Example

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

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

Here is how the Area of Circular Sector equation looks like.

8.7266 = \frac{40}{2} \cdot 5^{2}

8.7266m² = \frac{40°}{2} \cdot {5m}^{2}

8.7266 = \frac{40}{2} \cdot 5^{2}

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Area of Circular Sector Solution

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

FIRST Step Consider the formula

A = \frac{∠ Sector}{2} \cdot r^{2}

Next Step Substitute values of Variables

∴

A = \frac{40°}{2} \cdot {5m}^{2}

Next Step Convert Units

∴

A = \frac{0.6981rad}{2} \cdot {5m}^{2}

Next Step Prepare to Evaluate

∴

A = \frac{0.6981}{2} \cdot 5^{2}

Next Step Evaluate

∴

A = 8.72664625997001m²

LAST Step Rounding Answer

∴

A = 8.7266m²

Area of Circular Sector Formula Elements

Variables

Area of Circular Sector

Area of Circular Sector is the total quantity of plane enclosed by the Circular Sector.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Circular Sector

Angle of Circular Sector

Angle of Circular Sector is the angle between the radial edges of a Circular Sector or the central angle in which a circle is cut to form the Circular Sector.

Symbol: ∠_Sector

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Angle of Circular Sector

Radius of Circular Sector

Radius of Circular Sector is the radius of the circle from which the Circular Sector is formed.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Sector

Other Formulas to find Area of Circular Sector

Go Area of Circular Sector given Arc Length

A = \frac{r \cdot l Arc}{2}

Go Area of Circular Sector given Area of Circle

A = \frac{∠ Sector}{2 \cdot π} \cdot A Circle

How to Evaluate Area of Circular Sector?

Area of Circular Sector evaluator uses Area of Circular Sector = Angle of Circular Sector/2*Radius of Circular Sector^2 to evaluate the Area of Circular Sector, Area of Circular Sector is the area of the portion of a circle cut through two radii at a particular central angle. Area of Circular Sector is denoted by A symbol.

How to evaluate Area of Circular Sector using this online evaluator? To use this online evaluator for Area of Circular Sector, enter Angle of Circular Sector (∠_Sector) & Radius of Circular Sector (r) and hit the calculate button.

FAQs on Area of Circular Sector

What is the formula to find Area of Circular Sector?

The formula of Area of Circular Sector is expressed as Area of Circular Sector = Angle of Circular Sector/2*Radius of Circular Sector^2. Here is an example- 8.726646 = 0.698131700797601/2*5^2.

How to calculate Area of Circular Sector?

With Angle of Circular Sector (∠_Sector) & Radius of Circular Sector (r) we can find Area of Circular Sector using the formula - Area of Circular Sector = Angle of Circular Sector/2*Radius of Circular Sector^2.

What are the other ways to Calculate Area of Circular Sector?

Here are the different ways to Calculate Area of Circular Sector-

Area of Circular Sector=(Radius of Circular Sector*Arc Length of Circular Sector)/2
Area of Circular Sector=Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector

Can the Area of Circular Sector be negative?

No, the Area of Circular Sector, measured in Area cannot be negative.

Which unit is used to measure Area of Circular Sector?

Area of Circular Sector 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 Circular Sector can be measured.

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