Minor Arc Length given Tangent Angle Calculator

✖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 [∠_Tangent]			+10% -10%
✖Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.ⓘ Radius of Circular Arc [r_Arc]			+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 given Tangent Angle [l_Minor]

⎘ Copy

👎

Formula

✖

Minor Arc Length given Tangent Angle

Formula

`"l"_{"Minor"} = (pi-"∠"_{"Tangent"})*"r"_{"Arc"}`

Example

`"3.490659m"=(pi-"140°")*"5m"`

Calculator

LaTeX

Reset

👍

Download Circular Arc and Circular Quadrant Formulas PDF

Minor Arc Length given Tangent Angle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minor Arc Length of Circular Arc = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc
l_Minor = (pi-∠_Tangent)*r_Arc
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Radius of Circular Arc - (Measured in Meter) - Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.

STEP 1: Convert Input(s) to Base Unit

Tangent Angle of Circular Arc: 140 Degree --> 2.4434609527916 Radian (Check conversion here)
Radius of Circular Arc: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Minor = (pi-∠_Tangent)*r_Arc --> (pi-2.4434609527916)*5

Evaluating ... ...

l_Minor = 3.49065850399097

STEP 3: Convert Result to Output's Unit

3.49065850399097 Meter --> No Conversion Required

FINAL ANSWER

3.49065850399097 ≈ 3.490659 Meter <-- Minor Arc Length of Circular Arc

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Circle » Circular Arc and Circular Quadrant » Circular Arc » Major and Minor Arc Lengths of Circular Arc » Minor Arc Length given Tangent Angle

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 4 Major and Minor Arc Lengths of Circular Arc Calculators

Minor Arc Length given Major Arc Length

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

Major Arc Length given Minor Arc Length

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

Major Arc Length given Tangent Angle

Go Major Arc Length of Circular Arc = (pi+Tangent Angle of Circular Arc)*Radius of Circular Arc

Minor Arc Length given Tangent Angle

Go Minor Arc Length of Circular Arc = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc

Minor Arc Length given Tangent Angle Formula

Minor Arc Length of Circular Arc = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc
l_Minor = (pi-∠_Tangent)*r_Arc

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 Minor Arc Length given Tangent Angle?

Minor Arc Length given Tangent Angle calculator uses Minor Arc Length of Circular Arc = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc to calculate 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 calculate Minor Arc Length given Tangent Angle using this online calculator? To use this online calculator 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. Here is how the Minor Arc Length given Tangent Angle calculation can be explained with given input values -> 3.490659 = (pi-2.4434609527916)*5.

FAQ

What is Minor Arc Length given Tangent Angle?

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 and is represented as l_Minor = (pi-∠_Tangent)*r_Arc or Minor Arc Length of Circular Arc = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc. Tangent Angle of Circular Arc is the angle subtended by the tangents drawn at the end points of a Circular Arc & Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.

How to calculate Minor Arc Length given Tangent Angle?

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 is calculated using Minor Arc Length of Circular Arc = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc. To calculate Minor Arc Length given Tangent Angle, you need Tangent Angle of Circular Arc (∠_Tangent) & Radius of Circular Arc (r_Arc). With our tool, you need to enter the respective value for Tangent Angle of Circular Arc & Radius 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 Minor Arc Length of Circular Arc?

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

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

Home

FREE PDFs

🔍 Search