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

✖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.ⓘ Major Arc Length of Circular Arc [l_Major]			+10% -10%
✖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.ⓘ Minor Arc Length of Circular Arc [l_Minor]			+10% -10%

✖Tangent Angle of Circular Arc is the angle subtended by the tangents drawn at the end points of a Circular Arc.ⓘ Tangent Angle of Circular Arc given Major and Minor Arc Length [∠_Tangent]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
∠_Tangent = pi*(l_Major-l_Minor)/(l_Major+l_Minor)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Tangent Angle of Circular Arc - (Measured in Radian) - Tangent Angle of Circular Arc is the angle subtended by the tangents drawn at the end points of a Circular Arc.
Major Arc Length of Circular Arc - (Measured in Meter) - 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.
Minor Arc Length of Circular Arc - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Major Arc Length of Circular Arc: 25 Meter --> 25 Meter No Conversion Required
Minor Arc Length of Circular Arc: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_Tangent = pi*(l_Major-l_Minor)/(l_Major+l_Minor) --> pi*(25-6)/(25+6)

Evaluating ... ...

∠_Tangent = 1.92549227155503

STEP 3: Convert Result to Output's Unit

1.92549227155503 Radian -->110.322580645182 Degree (Check conversion here)

FINAL ANSWER

110.322580645182 ≈ 110.3226 Degree <-- Tangent Angle of Circular Arc

(Calculation completed in 00.008 seconds)

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Vellore Institute of Technology (VIT), Bhopal

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< Tangent Angle of Circular Arc Calculators

Tangent Angle of Circular Arc given Major and Minor Arc Length

LaTeX Go 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)

Tangent Angle of Circular Arc

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

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

LaTeX Go

What is a Circular Arc?

Circular Arc is basically a piece of the circumference of a circle. More specifically it is a curve cut from the boundary of a circle in a particular central angle, which is the angle subtended by the end points of the curve with respect to the center of the circle. Any two points on a circle will give a pair of supplementary arcs. Out of them, the larger arc is called major arc and the smaller arc is called minor arc.

What is Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

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

Tangent Angle of Circular Arc given Major and Minor Arc Length calculator 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 calculate 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 calculate Tangent Angle of Circular Arc given Major and Minor Arc Length using this online calculator? To use this online calculator 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. Here is how the Tangent Angle of Circular Arc given Major and Minor Arc Length calculation can be explained with given input values -> 6321.018 = pi*(25-6)/(25+6).

FAQ

What is Tangent Angle of Circular Arc given Major and Minor Arc Length?

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 and is represented as ∠_Tangent = pi*(l_Major-l_Minor)/(l_Major+l_Minor) or 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). 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 & 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.

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

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 is calculated using 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 calculate Tangent Angle of Circular Arc given Major and Minor Arc Length, you need Major Arc Length of Circular Arc (l_Major) & Minor Arc Length of Circular Arc (l_Minor). With our tool, you need to enter the respective value for Major Arc Length of Circular Arc & Minor Arc Length of Circular Arc and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Tangent Angle of Circular Arc?

In this formula, Tangent Angle of Circular Arc uses Major Arc Length of Circular Arc & Minor Arc Length of Circular Arc. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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