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Major Arc Length given Tangent Angle Formula

GoMajor Arc Length given Minor Arc Length Formula

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

l Major = (π + ∠ Tangent) \cdot r Arc

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

Major Arc Length given Tangent Angle Example

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

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

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

27.9253 = (3.1416 + 140) \cdot 5

27.9253m = (3.1416 + 140°) \cdot 5m

27.9253 = (3.1416 + 140) \cdot 5

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Major Arc Length given Tangent Angle Solution

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

FIRST Step Consider the formula

l Major = (π + ∠ Tangent) \cdot r Arc

Next Step Substitute values of Variables

∴

l Major = (π + 140°) \cdot 5m

Next Step Substitute values of Constants

∴

l Major = (3.1416 + 140°) \cdot 5m

Next Step Convert Units

∴

l Major = (3.1416 + 2.4435rad) \cdot 5m

Next Step Prepare to Evaluate

∴

l Major = (3.1416 + 2.4435) \cdot 5

Next Step Evaluate

∴

l Major = 27.925268031907m

LAST Step Rounding Answer

∴

l Major = 27.9253m

Major Arc Length given Tangent Angle Formula Elements

Variables

Constants

Major Arc Length of Circular Arc

Major Arc Length of Circular Arc is the arc length of the largest arc cut from a circle using any two arbitrary points on the circle.

Symbol: l_Major

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Major 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 Major Arc Length of Circular Arc

Go Major Arc Length given Minor Arc Length

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

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

Go Minor Arc Length given Major Arc Length

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

Go Minor Arc Length given Tangent Angle

l Minor = (π - ∠ Tangent) \cdot r Arc

How to Evaluate Major Arc Length given Tangent Angle?

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

How to evaluate Major Arc Length given Tangent Angle using this online evaluator? To use this online evaluator for Major 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 Major Arc Length given Tangent Angle

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

The formula of Major Arc Length given Tangent Angle is expressed as Major Arc Length of Circular Arc = (pi+Tangent Angle of Circular Arc)*Radius of Circular Arc. Here is an example- 27.92527 = (pi+2.4434609527916)*5.

How to calculate Major Arc Length given Tangent Angle?

With Tangent Angle of Circular Arc (∠_Tangent) & Radius of Circular Arc (r_Arc) we can find Major Arc Length given Tangent Angle using the formula - Major 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 Major Arc Length of Circular Arc?

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

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

Can the Major Arc Length given Tangent Angle be negative?

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

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

Major 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 Major Arc Length given Tangent Angle can be measured.

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