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Diameter of Circle given Arc Length Formula

GoDiameter of Circle given Circumference Formula

GoDiameter of Circle given Area Formula

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

D = \frac{2 \cdot l Arc}{∠ Central}

D - Diameter of Circle?l_Arc - Arc Length of Circle?∠_Central - Central Angle of Circle?

Diameter of Circle given Arc Length Example

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

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

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

10.111 = \frac{2 \cdot 15}{170}

10.111m = \frac{2 \cdot 15m}{170°}

10.111 = \frac{2 \cdot 15}{170}

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Diameter of Circle given Arc Length Solution

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

FIRST Step Consider the formula

D = \frac{2 \cdot l Arc}{∠ Central}

Next Step Substitute values of Variables

∴

D = \frac{2 \cdot 15m}{170°}

Next Step Convert Units

∴

D = \frac{2 \cdot 15m}{2.9671rad}

Next Step Prepare to Evaluate

∴

D = \frac{2 \cdot 15}{2.9671}

Next Step Evaluate

∴

D = 10.1110199140753m

LAST Step Rounding Answer

∴

D = 10.111m

Diameter of Circle given Arc Length Formula Elements

Variables

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

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

Other Formulas to find Diameter of Circle

Go Diameter of Circle given Circumference

D = \frac{C}{π}

Go Diameter of Circle given Area

D = 2 \cdot \sqrt{\frac{A}{π}}

Go Diameter of Circle

D = 2 \cdot r

How to Evaluate Diameter of Circle given Arc Length?

Diameter of Circle given Arc Length evaluator uses Diameter of Circle = (2*Arc Length of Circle)/Central Angle of Circle to evaluate the Diameter of Circle, Diameter of Circle given Arc Length formula is defined as the length of the chord passing through the center of the Circle and calculated using the arc length of the Circle at a particular central angle. Diameter of Circle is denoted by D symbol.

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

FAQs on Diameter of Circle given Arc Length

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

The formula of Diameter of Circle given Arc Length is expressed as Diameter of Circle = (2*Arc Length of Circle)/Central Angle of Circle. Here is an example- 10.11102 = (2*15)/2.9670597283898.

How to calculate Diameter of Circle given Arc Length?

With Arc Length of Circle (l_Arc) & Central Angle of Circle (∠_Central) we can find Diameter of Circle given Arc Length using the formula - Diameter of Circle = (2*Arc Length of Circle)/Central Angle of Circle.

What are the other ways to Calculate Diameter of Circle?

Here are the different ways to Calculate Diameter of Circle-

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

Can the Diameter of Circle given Arc Length be negative?

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

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

Diameter 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 Diameter of Circle given Arc Length can be measured.

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