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Chord Length of Circle given Diameter and Central Angle Formula

GoChord Length of Circle Formula

GoChord Length of Circle given Perpendicular Length Formula

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

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

l_c - Chord Length of Circle?D - Diameter of Circle?∠_Central - Central Angle of Circle?

Chord Length of Circle given Diameter and Central Angle Example

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Here is how the Chord Length of Circle given Diameter and Central Angle equation looks like with Values.

Here is how the Chord Length of Circle given Diameter and Central Angle equation looks like with Units.

Here is how the Chord Length of Circle given Diameter and Central Angle equation looks like.

9.9619 = 10 \cdot \sin (\frac{170}{2})

9.9619m = 10m \cdot \sin (\frac{170°}{2})

9.9619 = 10 \cdot \sin (\frac{170}{2})

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Chord Length of Circle given Diameter and Central Angle Solution

Follow our step by step solution on how to calculate Chord Length of Circle given Diameter and Central Angle?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l c = 10m \cdot \sin (\frac{170°}{2})

Next Step Convert Units

∴

l c = 10m \cdot \sin (\frac{2.9671rad}{2})

Next Step Prepare to Evaluate

∴

l c = 10 \cdot \sin (\frac{2.9671}{2})

Next Step Evaluate

∴

l c = 9.96194698091721m

LAST Step Rounding Answer

∴

l c = 9.9619m

Chord Length of Circle given Diameter and Central Angle Formula Elements

Variables

Functions

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

Diameter of Circle

Diameter of Circle is the length of the chord passing through the center of the Circle.

Symbol: D

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter 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

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 Chord Length of Circle

Go Chord Length of Circle

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

Go Chord Length of Circle given Perpendicular Length

l c = 2 \cdot \sqrt{r^{2} - {l Perpendicular}^{2}}

Go Chord Length of Circle given Inscribed Angle

l c = 2 \cdot r \cdot \sin (∠ Inscribed)

Go Chord Length of Circle given Diameter and Inscribed Angle

l c = D \cdot \sin (∠ Inscribed)

How to Evaluate Chord Length of Circle given Diameter and Central Angle?

Chord Length of Circle given Diameter and Central Angle evaluator uses Chord Length of Circle = Diameter of Circle*sin(Central Angle of Circle/2) to evaluate the Chord Length of Circle, Chord Length of Circle given Diameter and Central Angle formula is defined as the line segment that connects the two points of a Circle at a particular central angle and calculated using the diameter and central angle of the Circle. Chord Length of Circle is denoted by l_c symbol.

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

FAQs on Chord Length of Circle given Diameter and Central Angle

What is the formula to find Chord Length of Circle given Diameter and Central Angle?

The formula of Chord Length of Circle given Diameter and Central Angle is expressed as Chord Length of Circle = Diameter of Circle*sin(Central Angle of Circle/2). Here is an example- 9.961947 = 10*sin(2.9670597283898/2).

How to calculate Chord Length of Circle given Diameter and Central Angle?

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

What are the other ways to Calculate Chord Length of Circle?

Here are the different ways to Calculate Chord Length of Circle-

Chord Length of Circle=2*Radius of Circle*sin(Central Angle of Circle/2)
Chord Length of Circle=2*sqrt(Radius of Circle^2-Perpendicular Length to Chord of Circle^2)
Chord Length of Circle=2*Radius of Circle*sin(Inscribed Angle of Circle)

Can the Chord Length of Circle given Diameter and Central Angle be negative?

No, the Chord Length of Circle given Diameter and Central Angle, measured in Length cannot be negative.

Which unit is used to measure Chord Length of Circle given Diameter and Central Angle?

Chord Length of Circle given Diameter and Central Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Chord Length of Circle given Diameter and Central Angle can be measured.

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