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Circumference of Circle given Arc Length Formula

GoCircumference of Circle Formula

GoCircumference of Circle given Area Formula

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Circumference of Circle is the distance around the Circle. Check FAQs

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

C - Circumference of Circle?l_Arc - Arc Length of Circle?∠_Central - Central Angle of Circle?π - Archimedes' constant?

Circumference of Circle given Arc Length Example

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

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

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

31.7647 = \frac{2 \cdot 3.1416 \cdot 15}{170}

31.7647m = \frac{2 \cdot 3.1416 \cdot 15m}{170°}

31.7647 = \frac{2 \cdot 3.1416 \cdot 15}{170}

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Circumference of Circle given Arc Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = \frac{2 \cdot π \cdot 15m}{170°}

Next Step Substitute values of Constants

∴

C = \frac{2 \cdot 3.1416 \cdot 15m}{170°}

Next Step Convert Units

∴

C = \frac{2 \cdot 3.1416 \cdot 15m}{2.9671rad}

Next Step Prepare to Evaluate

∴

C = \frac{2 \cdot 3.1416 \cdot 15}{2.9671}

Next Step Evaluate

∴

C = 31.7647058823589m

LAST Step Rounding Answer

∴

C = 31.7647m

Circumference of Circle given Arc Length Formula Elements

Variables

Constants

Circumference of Circle

Circumference of Circle is the distance around the Circle.

Symbol: C

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumference of Circle

Arc Length of Circle

Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle.

Symbol: l_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Arc Length of Circle

Central Angle of Circle

Central Angle of Circle is an angle whose apex (vertex) is the centre O of a Circle and whose legs (sides) are radii intersecting the circle in two distinct points.

Symbol: ∠_Central

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle of Circle

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 Circumference of Circle

Go Circumference of Circle

C = 2 \cdot π \cdot r

Go Circumference of Circle given Area

C = \sqrt{4 \cdot π \cdot A}

Go Circumference of Circle given Diameter

C = π \cdot D

Go Circumference of Circle given Chord Length

C = \frac{2 \cdot π \cdot l c}{2 \cdot \sin (\frac{∠ Central}{2})}

How to Evaluate Circumference of Circle given Arc Length?

Circumference of Circle given Arc Length evaluator uses Circumference of Circle = (2*pi*Arc Length of Circle)/Central Angle of Circle to evaluate the Circumference of Circle, Circumference of Circle given Arc Length formula is defined as the distance all the way around the Circle and calculated using the length of a particular arc and the central angle of that arc of the Circle. Circumference of Circle is denoted by C symbol.

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

FAQs on Circumference of Circle given Arc Length

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

The formula of Circumference of Circle given Arc Length is expressed as Circumference of Circle = (2*pi*Arc Length of Circle)/Central Angle of Circle. Here is an example- 31.76471 = (2*pi*15)/2.9670597283898.

How to calculate Circumference of Circle given Arc Length?

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

What are the other ways to Calculate Circumference of Circle?

Here are the different ways to Calculate Circumference of Circle-

Circumference of Circle=2*pi*Radius of Circle
Circumference of Circle=sqrt(4*pi*Area of Circle)
Circumference of Circle=pi*Diameter of Circle

Can the Circumference of Circle given Arc Length be negative?

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

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

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

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