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Angle of Circular Sector given Arc Length Formula

GoAngle of Circular Sector given Area of Circular Sector 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{l Arc}{r}

∠_Sector - Angle of Circular Sector?l_Arc - Arc Length of Circular Sector?r - Radius of Circular Sector?

Angle of Circular Sector given Arc Length Example

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

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

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

45.8366 = \frac{4}{5}

45.8366° = \frac{4m}{5m}

45.8366 = \frac{4}{5}

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Angle of Circular Sector given Arc Length Solution

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

FIRST Step Consider the formula

∠ Sector = \frac{l Arc}{r}

Next Step Substitute values of Variables

∴

∠ Sector = \frac{4m}{5m}

Next Step Prepare to Evaluate

∴

∠ Sector = \frac{4}{5}

Next Step Evaluate

∴

∠ Sector = 0.8rad

Next Step Convert to Output's Unit

∴

∠ Sector = 45.8366236104745°

LAST Step Rounding Answer

∴

∠ Sector = 45.8366°

Angle of Circular Sector given Arc Length 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

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

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 Area of Circular Sector

∠ Sector = \frac{2 \cdot A}{r^{2}}

How to Evaluate Angle of Circular Sector given Arc Length?

Angle of Circular Sector given Arc Length evaluator uses Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector to evaluate the Angle of Circular Sector, Angle of Circular Sector given Arc Length formula is defined as the angle formed by two radii of the Circular Sector, calculated using the arc length of the Circular Sector. Angle of Circular Sector is denoted by ∠_Sector symbol.

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

FAQs on Angle of Circular Sector given Arc Length

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

The formula of Angle of Circular Sector given Arc Length is expressed as Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector. Here is an example- 2626.245 = 4/5.

How to calculate Angle of Circular Sector given Arc Length?

With Arc Length of Circular Sector (l_Arc) & Radius of Circular Sector (r) we can find Angle of Circular Sector given Arc Length using the formula - Angle of Circular Sector = Arc Length of Circular Sector/Radius of Circular Sector.

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=(2*Area of Circular Sector)/(Radius of Circular Sector^2)

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

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

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

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

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