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Arc Length of Circular Arc given Circumference Formula

GoArc Length of Circular Arc 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 = C Circle \cdot \frac{∠ Arc}{2 \cdot π}

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

Arc Length of Circular Arc given Circumference Example

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

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

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

3.3333 = 30 \cdot \frac{40}{2 \cdot 3.1416}

3.3333m = 30m \cdot \frac{40°}{2 \cdot 3.1416}

3.3333 = 30 \cdot \frac{40}{2 \cdot 3.1416}

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Arc Length of Circular Arc given Circumference Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Arc = 30m \cdot \frac{40°}{2 \cdot π}

Next Step Substitute values of Constants

∴

l Arc = 30m \cdot \frac{40°}{2 \cdot 3.1416}

Next Step Convert Units

∴

l Arc = 30m \cdot \frac{0.6981rad}{2 \cdot 3.1416}

Next Step Prepare to Evaluate

∴

l Arc = 30 \cdot \frac{0.6981}{2 \cdot 3.1416}

Next Step Evaluate

∴

l Arc = 3.33333333333271m

LAST Step Rounding Answer

∴

l Arc = 3.3333m

Arc Length of Circular Arc given Circumference Formula Elements

Variables

Constants

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

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

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 Arc Length of Circular Arc

Go Arc Length of Circular Arc

l Arc = r Arc \cdot ∠ Arc

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 given Circumference?

Arc Length of Circular Arc given Circumference evaluator uses Arc Length of Circular Arc = Circumference of Circle of Circular Arc*Angle of Circular Arc/(2*pi) to evaluate the Arc Length of Circular Arc, Arc Length of Circular Arc given Circumference formula is defined as the length of the curve cut from the circle at a particular central angle and calculated using the circumference of the circle from which the Circular Arc is formed. Arc Length of Circular Arc is denoted by l_Arc symbol.

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

FAQs on Arc Length of Circular Arc given Circumference

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

The formula of Arc Length of Circular Arc given Circumference is expressed as Arc Length of Circular Arc = Circumference of Circle of Circular Arc*Angle of Circular Arc/(2*pi). Here is an example- 3.333333 = 30*0.698131700797601/(2*pi).

How to calculate Arc Length of Circular Arc given Circumference?

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

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

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

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

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

Arc Length of Circular Arc given Circumference 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 given Circumference can be measured.

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