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Angle of Circular Arc given Arc Length and Circumference Formula

GoAngle of Circular Arc given Arc Length Formula

GoAngle of Circular Arc given Sector Area 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 π \cdot l Arc}{C Circle}

∠_Arc - Angle of Circular Arc?l_Arc - Arc Length of Circular Arc?C_Circle - Circumference of Circle of Circular Arc?π - Archimedes' constant?

Angle of Circular Arc given Arc Length and Circumference Example

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

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

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

48 = \frac{2 \cdot 3.1416 \cdot 4}{30}

48° = \frac{2 \cdot 3.1416 \cdot 4m}{30m}

48 = \frac{2 \cdot 3.1416 \cdot 4}{30}

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Angle of Circular Arc given Arc Length and Circumference Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Arc = \frac{2 \cdot π \cdot 4m}{30m}

Next Step Substitute values of Constants

∴

∠ Arc = \frac{2 \cdot 3.1416 \cdot 4m}{30m}

Next Step Prepare to Evaluate

∴

∠ Arc = \frac{2 \cdot 3.1416 \cdot 4}{30}

Next Step Evaluate

∴

∠ Arc = 0.837758040957278rad

Next Step Convert to Output's Unit

∴

∠ Arc = 48.000000000009°

LAST Step Rounding Answer

∴

∠ Arc = 48°

Angle of Circular Arc given Arc Length and Circumference Formula Elements

Variables

Constants

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

Arc Length of Circular Arc

Arc Length of Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length of Circular Arc

Circumference of Circle of Circular Arc

Circumference of Circle of Circular Arc is the total length of the boundary of the circle from which the Circular Arc is formed.

Symbol: C_Circle

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumference of Circle of Circular Arc

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 Angle of Circular Arc

Go Angle of Circular Arc given Arc Length

∠ Arc = \frac{l Arc}{r Arc}

Go Angle of Circular Arc given Sector Area

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

Go Angle of Circular Arc given Inscribed Angle

∠ Arc = 2 \cdot ∠ Inscribed

How to Evaluate Angle of Circular Arc given Arc Length and Circumference?

Angle of Circular Arc given Arc Length and Circumference evaluator uses Angle of Circular Arc = (2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc to evaluate the Angle of Circular Arc, Angle of Circular Arc given Arc Length and Circumference formula is defined as the angle subtended by the arc with center of the circle from which the Circular Arc is made, and calculated using the arc length and circumference of the circle of Circular Arc. Angle of Circular Arc is denoted by ∠_Arc symbol.

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

FAQs on Angle of Circular Arc given Arc Length and Circumference

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

The formula of Angle of Circular Arc given Arc Length and Circumference is expressed as Angle of Circular Arc = (2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc. Here is an example- 2750.197 = (2*pi*4)/30.

How to calculate Angle of Circular Arc given Arc Length and Circumference?

With Arc Length of Circular Arc (l_Arc) & Circumference of Circle of Circular Arc (C_Circle) we can find Angle of Circular Arc given Arc Length and Circumference using the formula - Angle of Circular Arc = (2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular Arc. This formula also uses Archimedes' constant .

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=Arc Length of Circular Arc/Radius of Circular Arc
Angle of Circular Arc=(2*Sector Area of Circular Arc)/(Radius of Circular Arc^2)
Angle of Circular Arc=2*Inscribed Angle of Circular Arc

Can the Angle of Circular Arc given Arc Length and Circumference be negative?

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

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

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

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