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Arc Length of Circular Arc Formula

GoArc Length of Circular Arc given Circumference Formula

GoArc Length of Circular Arc given Sector Area Formula

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

l Arc = r Arc \cdot ∠ Arc

l_Arc - Arc Length of Circular Arc?r_Arc - Radius of Circular Arc?∠_Arc - Angle of Circular Arc?

Arc Length of Circular Arc Example

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

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

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

3.4907 = 5 \cdot 40

3.4907m = 5m \cdot 40°

3.4907 = 5 \cdot 40

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Arc Length of Circular Arc Solution

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

FIRST Step Consider the formula

l Arc = r Arc \cdot ∠ Arc

Next Step Substitute values of Variables

∴

l Arc = 5m \cdot 40°

Next Step Convert Units

∴

l Arc = 5m \cdot 0.6981rad

Next Step Prepare to Evaluate

∴

l Arc = 5 \cdot 0.6981

Next Step Evaluate

∴

l Arc = 3.490658503988m

LAST Step Rounding Answer

∴

l Arc = 3.4907m

Arc Length of Circular Arc Formula Elements

Variables

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

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

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

Other Formulas to find Arc Length of Circular Arc

Go Arc Length of Circular Arc given Circumference

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

Go Arc Length of Circular Arc given Sector Area

l Arc = \frac{2 \cdot A Sector}{r Arc}

How to Evaluate Arc Length of Circular Arc?

Arc Length of Circular Arc evaluator uses Arc Length of Circular Arc = Radius of Circular Arc*Angle of Circular Arc to evaluate the Arc Length of Circular Arc, Arc Length of Circular Arc formula is defined as the length of the curve cut from the circle at a particular central angle. Arc Length of Circular Arc is denoted by l_Arc symbol.

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

FAQs on Arc Length of Circular Arc

What is the formula to find Arc Length of Circular Arc?

The formula of Arc Length of Circular Arc is expressed as Arc Length of Circular Arc = Radius of Circular Arc*Angle of Circular Arc. Here is an example- 3.490659 = 5*0.698131700797601.

How to calculate Arc Length of Circular Arc?

With Radius of Circular Arc (r_Arc) & Angle of Circular Arc (∠_Arc) we can find Arc Length of Circular Arc using the formula - Arc Length of Circular Arc = Radius of Circular Arc*Angle of Circular Arc.

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

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

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

Can the Arc Length of Circular Arc be negative?

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

Which unit is used to measure Arc Length of Circular Arc?

Arc Length of Circular Arc is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Arc Length of Circular Arc can be measured.

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