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Tangent Angle of Circular Arc given Major and Minor Arc Length Formula

GoTangent Angle of Circular Arc Formula

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

∠ Tangent = π \cdot \frac{l Major - l Minor}{l Major + l Minor}

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

Tangent Angle of Circular Arc given Major and Minor Arc Length Example

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

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

Here is how the Tangent Angle of Circular Arc given Major and Minor Arc Length equation looks like.

110.3226 = 3.1416 \cdot \frac{25 - 6}{25 + 6}

110.3226° = 3.1416 \cdot \frac{25m - 6m}{25m + 6m}

110.3226 = 3.1416 \cdot \frac{25 - 6}{25 + 6}

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Tangent Angle of Circular Arc given Major and Minor Arc Length Solution

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

FIRST Step Consider the formula

∠ Tangent = π \cdot \frac{l Major - l Minor}{l Major + l Minor}

Next Step Substitute values of Variables

∴

∠ Tangent = π \cdot \frac{25m - 6m}{25m + 6m}

Next Step Substitute values of Constants

∴

∠ Tangent = 3.1416 \cdot \frac{25m - 6m}{25m + 6m}

Next Step Prepare to Evaluate

∴

∠ Tangent = 3.1416 \cdot \frac{25 - 6}{25 + 6}

Next Step Evaluate

∴

∠ Tangent = 1.92549227155503rad

Next Step Convert to Output's Unit

∴

∠ Tangent = 110.322580645182°

LAST Step Rounding Answer

∴

∠ Tangent = 110.3226°

Tangent Angle of Circular Arc given Major and Minor Arc Length Formula Elements

Variables

Constants

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

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

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

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 Tangent Angle of Circular Arc

Go Tangent Angle of Circular Arc

∠ Tangent = π - ∠ Arc

How to Evaluate Tangent Angle of Circular Arc given Major and Minor Arc Length?

Tangent Angle of Circular Arc given Major and Minor Arc Length evaluator uses Tangent Angle of Circular Arc = pi*(Major Arc Length of Circular Arc-Minor Arc Length of Circular Arc)/(Major Arc Length of Circular Arc+Minor Arc Length of Circular Arc) to evaluate the Tangent Angle of Circular Arc, Tangent Angle of Circular Arc given Major and Minor Arc Length formula is defined as the angle subtended by the tangents drawn at the endpoints of a Circular Arc, and calculated using the major and minor arc lengths of the Circular Arc. Tangent Angle of Circular Arc is denoted by ∠_Tangent symbol.

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

FAQs on Tangent Angle of Circular Arc given Major and Minor Arc Length

What is the formula to find Tangent Angle of Circular Arc given Major and Minor Arc Length?

The formula of Tangent Angle of Circular Arc given Major and Minor Arc Length is expressed as Tangent Angle of Circular Arc = pi*(Major Arc Length of Circular Arc-Minor Arc Length of Circular Arc)/(Major Arc Length of Circular Arc+Minor Arc Length of Circular Arc). Here is an example- 6321.018 = pi*(25-6)/(25+6).

How to calculate Tangent Angle of Circular Arc given Major and Minor Arc Length?

With Major Arc Length of Circular Arc (l_Major) & Minor Arc Length of Circular Arc (l_Minor) we can find Tangent Angle of Circular Arc given Major and Minor Arc Length using the formula - Tangent Angle of Circular Arc = pi*(Major Arc Length of Circular Arc-Minor Arc Length of Circular Arc)/(Major Arc Length of Circular Arc+Minor Arc Length of Circular Arc). This formula also uses Archimedes' constant .

What are the other ways to Calculate Tangent Angle of Circular Arc?

Here are the different ways to Calculate Tangent Angle of Circular Arc-

Tangent Angle of Circular Arc=pi-Angle of Circular Arc

Can the Tangent Angle of Circular Arc given Major and Minor Arc Length be negative?

No, the Tangent Angle of Circular Arc given Major and Minor Arc Length, measured in Angle cannot be negative.

Which unit is used to measure Tangent Angle of Circular Arc given Major and Minor Arc Length?

Tangent Angle of Circular Arc given Major and Minor Arc Length is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Tangent Angle of Circular Arc given Major and Minor Arc Length can be measured.

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