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Minor Arc Length given Tangent Angle Formula

GoMinor Arc Length given Major Arc Length Formula

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Minor Arc Length of Circular Arc is the arc length of the smallest arc cut from a circle using any two arbitrary points on the Circle. Check FAQs

l Minor = (π - ∠ Tangent) \cdot r Arc

l_Minor - Minor Arc Length of Circular Arc?∠_Tangent - Tangent Angle of Circular Arc?r_Arc - Radius of Circular Arc?π - Archimedes' constant?

Minor Arc Length given Tangent Angle Example

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Here is how the Minor Arc Length given Tangent Angle equation looks like with Values.

Here is how the Minor Arc Length given Tangent Angle equation looks like with Units.

Here is how the Minor Arc Length given Tangent Angle equation looks like.

3.4907 = (3.1416 - 140) \cdot 5

3.4907m = (3.1416 - 140°) \cdot 5m

3.4907 = (3.1416 - 140) \cdot 5

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Minor Arc Length given Tangent Angle Solution

Follow our step by step solution on how to calculate Minor Arc Length given Tangent Angle?

FIRST Step Consider the formula

l Minor = (π - ∠ Tangent) \cdot r Arc

Next Step Substitute values of Variables

∴

l Minor = (π - 140°) \cdot 5m

Next Step Substitute values of Constants

∴

l Minor = (3.1416 - 140°) \cdot 5m

Next Step Convert Units

∴

l Minor = (3.1416 - 2.4435rad) \cdot 5m

Next Step Prepare to Evaluate

∴

l Minor = (3.1416 - 2.4435) \cdot 5

Next Step Evaluate

∴

l Minor = 3.49065850399097m

LAST Step Rounding Answer

∴

l Minor = 3.4907m

Minor Arc Length given Tangent Angle Formula Elements

Variables

Constants

Minor Arc Length of Circular Arc

Minor Arc Length of Circular Arc is the arc length of the smallest arc cut from a circle using any two arbitrary points on the Circle.

Symbol: l_Minor

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Minor Arc Length of Circular Arc

Tangent Angle of Circular Arc

Tangent Angle of Circular Arc is the angle subtended by the tangents drawn at the end points of a Circular Arc.

Symbol: ∠_Tangent

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Tangent Angle of Circular Arc

Radius of Circular Arc

Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.

Symbol: r_Arc

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Arc

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

Other Formulas to find Minor Arc Length of Circular Arc

Go Minor Arc Length given Major Arc Length

l Minor = (2 \cdot π \cdot r Arc) - l Major

Other formulas in Major and Minor Arc Lengths of Circular Arc category

Go Major Arc Length given Tangent Angle

l Major = (π + ∠ Tangent) \cdot r Arc

Go Major Arc Length given Minor Arc Length

l Major = (2 \cdot π \cdot r Arc) - l Minor

How to Evaluate Minor Arc Length given Tangent Angle?

Minor Arc Length given Tangent Angle evaluator uses Minor Arc Length of Circular Arc = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc to evaluate the Minor Arc Length of Circular Arc, Minor Arc Length given Tangent Angle formula is defined as the length of the smallest arc formed by two points on a circle and calculated using the tangent angle of that Circular Arc. Minor Arc Length of Circular Arc is denoted by l_Minor symbol.

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

FAQs on Minor Arc Length given Tangent Angle

What is the formula to find Minor Arc Length given Tangent Angle?

The formula of Minor Arc Length given Tangent Angle is expressed as Minor Arc Length of Circular Arc = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc. Here is an example- 3.490659 = (pi-2.4434609527916)*5.

How to calculate Minor Arc Length given Tangent Angle?

With Tangent Angle of Circular Arc (∠_Tangent) & Radius of Circular Arc (r_Arc) we can find Minor Arc Length given Tangent Angle using the formula - Minor Arc Length of Circular Arc = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc. This formula also uses Archimedes' constant .

What are the other ways to Calculate Minor Arc Length of Circular Arc?

Here are the different ways to Calculate Minor Arc Length of Circular Arc-

Minor Arc Length of Circular Arc=(2*pi*Radius of Circular Arc)-Major Arc Length of Circular Arc

Can the Minor Arc Length given Tangent Angle be negative?

No, the Minor Arc Length given Tangent Angle, measured in Length cannot be negative.

Which unit is used to measure Minor Arc Length given Tangent Angle?

Minor Arc Length given Tangent Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Minor Arc Length given Tangent Angle can be measured.

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