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Area of Circular Sector given Area of Circle Formula

GoArea of Circular Sector Formula

GoArea of Circular Sector given Arc Length 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 π} \cdot A Circle

A - Area of Circular Sector?∠_Sector - Angle of Circular Sector?A_Circle - Area of Circle of Circular Sector?π - Archimedes' constant?

Area of Circular Sector given Area of Circle Example

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

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

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

8.8889 = \frac{40}{2 \cdot 3.1416} \cdot 80

8.8889m² = \frac{40°}{2 \cdot 3.1416} \cdot 80m²

8.8889 = \frac{40}{2 \cdot 3.1416} \cdot 80

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Area of Circular Sector given Area of Circle Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A = \frac{40°}{2 \cdot π} \cdot 80m²

Next Step Substitute values of Constants

∴

A = \frac{40°}{2 \cdot 3.1416} \cdot 80m²

Next Step Convert Units

∴

A = \frac{0.6981rad}{2 \cdot 3.1416} \cdot 80m²

Next Step Prepare to Evaluate

∴

A = \frac{0.6981}{2 \cdot 3.1416} \cdot 80

Next Step Evaluate

∴

A = 8.88888888888722m²

LAST Step Rounding Answer

∴

A = 8.8889m²

Area of Circular Sector given Area of Circle Formula Elements

Variables

Constants

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

Area of Circle of Circular Sector

Area of Circle of Circular Sector is the total quantity of plane enclosed by the circle from which the Circular Sector is formed.

Symbol: A_Circle

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Circle of Circular Sector

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 Circular Sector

Go Area of Circular Sector

A = \frac{∠ Sector}{2} \cdot r^{2}

Go Area of Circular Sector given Arc Length

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

How to Evaluate Area of Circular Sector given Area of Circle?

Area of Circular Sector given Area of Circle evaluator uses Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector to evaluate the Area of Circular Sector, Area of Circular Sector given Area of Circle is the area of the portion of a circle cut through two radii at a particular central angle and calculated using the area of the circle of which the Circular Sector is a part of. Area of Circular Sector is denoted by A symbol.

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

FAQs on Area of Circular Sector given Area of Circle

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

The formula of Area of Circular Sector given Area of Circle is expressed as Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector. Here is an example- 8.888889 = 0.698131700797601/(2*pi)*80.

How to calculate Area of Circular Sector given Area of Circle?

With Angle of Circular Sector (∠_Sector) & Area of Circle of Circular Sector (A_Circle) we can find Area of Circular Sector given Area of Circle using the formula - Area of Circular Sector = Angle of Circular Sector/(2*pi)*Area of Circle of Circular Sector. This formula also uses Archimedes' constant .

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=(Radius of Circular Sector*Arc Length of Circular Sector)/2

Can the Area of Circular Sector given Area of Circle be negative?

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

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

Area of Circular Sector given 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 Circular Sector given Area of Circle can be measured.

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