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Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed. Check FAQs
Arc=lArcrArc
Arc - Angle of Circular Arc?lArc - Arc Length of Circular Arc?rArc - Radius of Circular Arc?

Angle of Circular Arc given Arc Length Example

With values
With units
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Here is how the Angle of Circular Arc given Arc Length equation looks like with Values.

Here is how the Angle of Circular Arc given Arc Length equation looks like with Units.

Here is how the Angle of Circular Arc given Arc Length equation looks like.

45.8366Edit=4Edit5Edit
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Angle of Circular Arc given Arc Length Solution

Follow our step by step solution on how to calculate Angle of Circular Arc given Arc Length?

FIRST Step Consider the formula
Arc=lArcrArc
Next Step Substitute values of Variables
Arc=4m5m
Next Step Prepare to Evaluate
Arc=45
Next Step Evaluate
Arc=0.8rad
Next Step Convert to Output's Unit
Arc=45.8366236104745°
LAST Step Rounding Answer
Arc=45.8366°

Angle of Circular Arc given Arc Length Formula Elements

Variables
Angle of Circular Arc
Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.
Symbol: Arc
Measurement: AngleUnit: °
Note: Value should be between 0 to 360.
Arc Length of Circular Arc
Arc Length of Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle.
Symbol: lArc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Radius of Circular Arc
Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.
Symbol: rArc
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Angle of Circular Arc

​Go Angle of Circular Arc given Arc Length and Circumference
Arc=2πlArcCCircle
​Go Angle of Circular Arc given Sector Area
Arc=2ASectorrArc2
​Go Angle of Circular Arc given Inscribed Angle
Arc=2Inscribed

How to Evaluate Angle of Circular Arc given Arc Length?

Angle of Circular Arc given Arc Length evaluator uses Angle of Circular Arc = Arc Length of Circular Arc/Radius of Circular Arc to evaluate the Angle of Circular Arc, Angle of Circular Arc given Arc Length formula is defined as the angle subtended by the arc with the center of the circle from which the Circular Arc is made, and calculated using the arc length of the Circular Arc. Angle of Circular Arc is denoted by Arc symbol.

How to evaluate Angle of Circular Arc given Arc Length using this online evaluator? To use this online evaluator for Angle of Circular Arc given Arc Length, enter Arc Length of Circular Arc (lArc) & Radius of Circular Arc (rArc) and hit the calculate button.

FAQs on Angle of Circular Arc given Arc Length

What is the formula to find Angle of Circular Arc given Arc Length?
The formula of Angle of Circular Arc given Arc Length is expressed as Angle of Circular Arc = Arc Length of Circular Arc/Radius of Circular Arc. Here is an example- 2626.245 = 4/5.
How to calculate Angle of Circular Arc given Arc Length?
With Arc Length of Circular Arc (lArc) & Radius of Circular Arc (rArc) we can find Angle of Circular Arc given Arc Length using the formula - Angle of Circular Arc = Arc Length of Circular Arc/Radius of Circular Arc.
What are the other ways to Calculate Angle of Circular Arc?
Here are the different ways to Calculate Angle of Circular Arc-
  • Angle of Circular Arc=(2*pi*Arc Length of Circular Arc)/Circumference of Circle of Circular ArcOpenImg
  • Angle of Circular Arc=(2*Sector Area of Circular Arc)/(Radius of Circular Arc^2)OpenImg
  • Angle of Circular Arc=2*Inscribed Angle of Circular ArcOpenImg
Can the Angle of Circular Arc given Arc Length be negative?
No, the Angle of Circular Arc given Arc Length, measured in Angle cannot be negative.
Which unit is used to measure Angle of Circular Arc given Arc Length?
Angle of Circular Arc given Arc Length is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Circular Arc given Arc Length can be measured.
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