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Circumference of Circle given Chord Length Formula

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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 c}{2 \cdot \sin (\frac{∠ Central}{2})}

C - Circumference of Circle?l_c - Chord Length of Circle?∠_Central - Central Angle of Circle?π - Archimedes' constant?

Circumference of Circle given Chord Length Example

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

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

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

25.2287 = \frac{2 \cdot 3.1416 \cdot 8}{2 \cdot \sin (\frac{170}{2})}

25.2287m = \frac{2 \cdot 3.1416 \cdot 8m}{2 \cdot \sin (\frac{170°}{2})}

25.2287 = \frac{2 \cdot 3.1416 \cdot 8}{2 \cdot \sin (\frac{170}{2})}

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Circumference of Circle given Chord Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

C = \frac{2 \cdot π \cdot 8m}{2 \cdot \sin (\frac{170°}{2})}

Next Step Substitute values of Constants

∴

C = \frac{2 \cdot 3.1416 \cdot 8m}{2 \cdot \sin (\frac{170°}{2})}

Next Step Convert Units

∴

C = \frac{2 \cdot 3.1416 \cdot 8m}{2 \cdot \sin (\frac{2.9671rad}{2})}

Next Step Prepare to Evaluate

∴

C = \frac{2 \cdot 3.1416 \cdot 8}{2 \cdot \sin (\frac{2.9671}{2})}

Next Step Evaluate

∴

C = 25.2287442172317m

LAST Step Rounding Answer

∴

C = 25.2287m

Circumference of Circle given Chord Length Formula Elements

Variables

Constants

Functions

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

Chord Length of Circle

Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord 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

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

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 Arc Length

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

How to Evaluate Circumference of Circle given Chord Length?

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

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

FAQs on Circumference of Circle given Chord Length

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

The formula of Circumference of Circle given Chord Length is expressed as Circumference of Circle = (2*pi*Chord Length of Circle)/(2*sin(Central Angle of Circle/2)). Here is an example- 25.22874 = (2*pi*8)/(2*sin(2.9670597283898/2)).

How to calculate Circumference of Circle given Chord Length?

With Chord Length of Circle (l_c) & Central Angle of Circle (∠_Central) we can find Circumference of Circle given Chord Length using the formula - Circumference of Circle = (2*pi*Chord Length of Circle)/(2*sin(Central Angle of Circle/2)). This formula also uses Archimedes' constant and Sine (sin) function(s).

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 Chord Length be negative?

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

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

Circumference of Circle given Chord 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 Chord Length can be measured.

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