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Radius of Circle given Arc Length Formula

GoRadius of Circle given Circumference Formula

GoRadius of Circle given Area Formula

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Radius of Circle is the length of any line segment joining the center and any point on the Circle. Check FAQs

r = \frac{l Arc}{∠ Central}

r - Radius of Circle?l_Arc - Arc Length of Circle?∠_Central - Central Angle of Circle?

Radius of Circle given Arc Length Example

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

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

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

5.0555 = \frac{15}{170}

5.0555m = \frac{15m}{170°}

5.0555 = \frac{15}{170}

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Radius of Circle given Arc Length Solution

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

FIRST Step Consider the formula

r = \frac{l Arc}{∠ Central}

Next Step Substitute values of Variables

∴

r = \frac{15m}{170°}

Next Step Convert Units

∴

r = \frac{15m}{2.9671rad}

Next Step Prepare to Evaluate

∴

r = \frac{15}{2.9671}

Next Step Evaluate

∴

r = 5.05550995703763m

LAST Step Rounding Answer

∴

r = 5.0555m

Radius of Circle given Arc Length Formula Elements

Variables

Radius of Circle

Radius of Circle is the length of any line segment joining the center and any point on the Circle.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius 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 Radius of Circle

Go Radius of Circle given Circumference

r = \frac{C}{2 \cdot π}

Go Radius of Circle given Area

r = \sqrt{\frac{A}{π}}

Go Radius of Circle given Diameter

r = \frac{D}{2}

How to Evaluate Radius of Circle given Arc Length?

Radius of Circle given Arc Length evaluator uses Radius of Circle = Arc Length of Circle/Central Angle of Circle to evaluate the Radius of Circle, Radius of Circle given Arc Length formula is defined as the length of any line from the center to any point on the Circle and calculated using the arc length of the Circle at a particular central angle. Radius of Circle is denoted by r symbol.

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

FAQs on Radius of Circle given Arc Length

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

The formula of Radius of Circle given Arc Length is expressed as Radius of Circle = Arc Length of Circle/Central Angle of Circle. Here is an example- 5.05551 = 15/2.9670597283898.

How to calculate Radius of Circle given Arc Length?

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

What are the other ways to Calculate Radius of Circle?

Here are the different ways to Calculate Radius of Circle-

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

Can the Radius of Circle given Arc Length be negative?

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

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

Radius 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 Radius of Circle given Arc Length can be measured.

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