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Area of Circular Sector given Arc Length Formula

GoArea of Circular Sector 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{r \cdot l Arc}{2}

A - Area of Circular Sector?r - Radius of Circular Sector?l_Arc - Arc Length of Circular Sector?

Area of Circular Sector given Arc Length Example

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

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

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

10 = \frac{5 \cdot 4}{2}

10m² = \frac{5m \cdot 4m}{2}

10 = \frac{5 \cdot 4}{2}

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Area of Circular Sector given Arc Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{5m \cdot 4m}{2}

Next Step Prepare to Evaluate

∴

A = \frac{5 \cdot 4}{2}

LAST Step Evaluate

∴

A = 10m²

Area of Circular Sector given Arc Length 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

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

Arc Length of Circular Sector

Arc Length of Circular Sector is the length of the curved boundary edge of the Circular Sector.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length of Circular Sector

Other Formulas to find Area of Circular Sector

Go Area of Circular Sector

A = \frac{∠ Sector}{2} \cdot r^{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 given Arc Length?

Area of Circular Sector given Arc Length evaluator uses Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2 to evaluate the Area of Circular Sector, Area of Circular Sector given Arc Length is the area of the portion of a circle cut through two radii at a particular central angle and calculated using the arc length of the Circular Sector. Area of Circular Sector is denoted by A symbol.

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

FAQs on Area of Circular Sector given Arc Length

What is the formula to find Area of Circular Sector given Arc Length?

The formula of Area of Circular Sector given Arc Length is expressed as Area of Circular Sector = (Radius of Circular Sector*Arc Length of Circular Sector)/2. Here is an example- 10 = (5*4)/2.

How to calculate Area of Circular Sector given Arc Length?

With Radius of Circular Sector (r) & Arc Length of Circular Sector (l_Arc) we can find Area of Circular Sector given Arc Length using the formula - Area of Circular Sector = (Radius of Circular Sector*Arc Length 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=Angle of Circular Sector/2*Radius 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 given Arc Length be negative?

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

Which unit is used to measure Area of Circular Sector given Arc Length?

Area of Circular Sector given Arc Length 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 given Arc Length can be measured.

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Area of Circular Sector given Arc Length Formula

​GoArea of Circular Sector Formula

​GoArea of Circular Sector given Area of Circle Formula

Area of Circular Sector given Arc Length Example

Area of Circular Sector given Arc Length Solution

Area of Circular Sector given Arc Length Formula Elements

Other Formulas to find Area of Circular Sector

How to Evaluate Area of Circular Sector given Arc Length?

FAQs on Area of Circular Sector given Arc Length

Variable Name

GoArea of Circular Sector Formula

GoArea of Circular Sector given Area of Circle Formula