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Angle of Circular Sector given Area of Circular Sector Formula

GoAngle of Circular Sector given Arc Length Formula

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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. Check FAQs

∠ Sector = \frac{2 \cdot A}{r^{2}}

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

Angle of Circular Sector given Area of Circular Sector Example

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

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

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

41.253 = \frac{2 \cdot 9}{5^{2}}

41.253° = \frac{2 \cdot 9m²}{{5m}^{2}}

41.253 = \frac{2 \cdot 9}{5^{2}}

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Angle of Circular Sector given Area of Circular Sector Solution

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

FIRST Step Consider the formula

∠ Sector = \frac{2 \cdot A}{r^{2}}

Next Step Substitute values of Variables

∴

∠ Sector = \frac{2 \cdot 9m²}{{5m}^{2}}

Next Step Prepare to Evaluate

∴

∠ Sector = \frac{2 \cdot 9}{5^{2}}

Next Step Evaluate

∴

∠ Sector = 0.72rad

Next Step Convert to Output's Unit

∴

∠ Sector = 41.252961249427°

LAST Step Rounding Answer

∴

∠ Sector = 41.253°

Angle of Circular Sector given Area of Circular Sector Formula Elements

Variables

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 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

Other Formulas to find Angle of Circular Sector

Go Angle of Circular Sector given Arc Length

∠ Sector = \frac{l Arc}{r}

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

Angle of Circular Sector given Area of Circular Sector evaluator uses Angle of Circular Sector = (2*Area of Circular Sector)/(Radius of Circular Sector^2) to evaluate the Angle of Circular Sector, Angle of Circular Sector given Area of Circular Sector is defined as the angle formed by two radii of the Circular Sector, calculated using the area of Circular Sector. Angle of Circular Sector is denoted by ∠_Sector symbol.

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

FAQs on Angle of Circular Sector given Area of Circular Sector

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

The formula of Angle of Circular Sector given Area of Circular Sector is expressed as Angle of Circular Sector = (2*Area of Circular Sector)/(Radius of Circular Sector^2). Here is an example- 2363.621 = (2*9)/(5^2).

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

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

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

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

Angle of Circular Sector=Arc Length of Circular Sector/Radius of Circular Sector

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

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

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

Angle of Circular Sector given Area of Circular Sector is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Circular Sector given Area of Circular Sector can be measured.

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