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Area of Circle given Area of Sector Formula

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

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

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

Area of Circle given Area of Sector Example

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

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

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

81 = \frac{2 \cdot 3.1416 \cdot 9}{40}

81m² = \frac{2 \cdot 3.1416 \cdot 9m²}{40°}

81 = \frac{2 \cdot 3.1416 \cdot 9}{40}

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Area of Circle given Area of Sector Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Circle = \frac{2 \cdot π \cdot 9m²}{40°}

Next Step Substitute values of Constants

∴

A Circle = \frac{2 \cdot 3.1416 \cdot 9m²}{40°}

Next Step Convert Units

∴

A Circle = \frac{2 \cdot 3.1416 \cdot 9m²}{0.6981rad}

Next Step Prepare to Evaluate

∴

A Circle = \frac{2 \cdot 3.1416 \cdot 9}{0.6981}

Next Step Evaluate

∴

A Circle = 81.0000000000152m²

LAST Step Rounding Answer

∴

A Circle = 81m²

Area of Circle given Area of Sector Formula Elements

Variables

Constants

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

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

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 in Circular Sector category

Go Diameter of Circle given Area of Sector

D = 2 \cdot \sqrt{\frac{2 \cdot A}{∠ Sector}}

Go Radius of Circle given Area of Sector

r = \sqrt{\frac{2 \cdot A}{∠ Sector}}

Go Inscribed Angle of Circle given Area of Sector

∠ Inscribed = π - \frac{A}{r^{2}}

How to Evaluate Area of Circle given Area of Sector?

Area of Circle given Area of Sector evaluator uses Area of Circle of Circular Sector = (2*pi*Area of Circular Sector)/Angle of Circular Sector to evaluate the Area of Circle of Circular Sector, Area of Circle given Area of Sector formula is defined as the amount of 2D space enclosed by the Circle inside its perimeter and is calculated using the area of a sector of the Circle. Area of Circle of Circular Sector is denoted by A_Circle symbol.

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

FAQs on Area of Circle given Area of Sector

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

The formula of Area of Circle given Area of Sector is expressed as Area of Circle of Circular Sector = (2*pi*Area of Circular Sector)/Angle of Circular Sector. Here is an example- 81 = (2*pi*9)/0.698131700797601.

How to calculate Area of Circle given Area of Sector?

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

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

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

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

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

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