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Angle of Circular Arc given Sector Area Formula

GoAngle of Circular Arc given Arc Length and Circumference Formula

GoAngle of Circular Arc given Arc Length Formula

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Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed. Check FAQs

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

∠_Arc - Angle of Circular Arc?A_Sector - Sector Area of Circular Arc?r_Arc - Radius of Circular Arc?

Angle of Circular Arc given Sector Area Example

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

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

Here is how the Angle of Circular Arc given Sector Area 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 Arc given Sector Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Arc = \frac{2 \cdot 9m²}{{5m}^{2}}

Next Step Prepare to Evaluate

∴

∠ Arc = \frac{2 \cdot 9}{5^{2}}

Next Step Evaluate

∴

∠ Arc = 0.72rad

Next Step Convert to Output's Unit

∴

∠ Arc = 41.252961249427°

LAST Step Rounding Answer

∴

∠ Arc = 41.253°

Angle of Circular Arc given Sector Area Formula Elements

Variables

Angle of Circular Arc

Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.

Symbol: ∠_Arc

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Angle of Circular Arc

Sector Area of Circular Arc

Sector Area of Circular Arc is the area enclosed by the sector formed by using the Circular Arc and corresponding radii.

Symbol: A_Sector

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Sector Area of Circular Arc

Radius of Circular Arc

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

Symbol: r_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Arc

Other Formulas to find Angle of Circular Arc

Go Angle of Circular Arc given Arc Length and Circumference

∠ Arc = \frac{2 \cdot π \cdot l Arc}{C Circle}

Go Angle of Circular Arc given Arc Length

∠ Arc = \frac{l Arc}{r Arc}

Go Angle of Circular Arc given Inscribed Angle

∠ Arc = 2 \cdot ∠ Inscribed

How to Evaluate Angle of Circular Arc given Sector Area?

Angle of Circular Arc given Sector Area evaluator uses Angle of Circular Arc = (2*Sector Area of Circular Arc)/(Radius of Circular Arc^2) to evaluate the Angle of Circular Arc, Angle of Circular Arc given Sector Area formula is defined as the angle subtended by the arc with the center of the circle from which the Circular Arc is made, and calculated using the sector area formed from that Circular Arc. Angle of Circular Arc is denoted by ∠_Arc symbol.

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

FAQs on Angle of Circular Arc given Sector Area

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

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

How to calculate Angle of Circular Arc given Sector Area?

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

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

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

Angle of Circular Arc=(2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc
Angle of Circular Arc=Arc Length of Circular Arc/Radius of Circular Arc
Angle of Circular Arc=2*Inscribed Angle of Circular Arc

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

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

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

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

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