Major Arc Length given Minor Arc Length Calculator

✖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 of Circular Arc [l_Minor]			+10% -10%

✖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 given Minor Arc Length [l_Major]

⎘ Copy

👎

Formula

✖

Major Arc Length given Minor Arc Length

Formula

`"l"_{"Major"} = (2*pi*"r"_{"Arc"})-"l"_{"Minor"}`

Example

`"25.41593m"=(2*pi*"5m")-"6m"`

Calculator

LaTeX

Reset

👍

Download Circular Arc and Circular Quadrant Formulas PDF

Major Arc Length given Minor Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Major Arc Length of Circular Arc = (2*pi*Radius of Circular Arc)-Minor Arc Length of Circular Arc
l_Major = (2*pi*r_Arc)-l_Minor
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

Radius of Circular Arc: 5 Meter --> 5 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

l_Major = (2*pi*r_Arc)-l_Minor --> (2*pi*5)-6

Evaluating ... ...

l_Major = 25.4159265358979

STEP 3: Convert Result to Output's Unit

25.4159265358979 Meter --> No Conversion Required

FINAL ANSWER

25.4159265358979 ≈ 25.41593 Meter <-- Major Arc Length of Circular Arc

(Calculation completed in 00.020 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 » Major Arc Length given Minor Arc Length

Credits

Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has created this Calculator and 50+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ 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

Major Arc Length given Minor Arc Length Formula

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

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 Major Arc Length given Minor Arc Length?

Major Arc Length given Minor Arc Length calculator uses Major Arc Length of Circular Arc = (2*pi*Radius of Circular Arc)-Minor Arc Length of Circular Arc to calculate the Major Arc Length of Circular Arc, Major Arc Length given Minor Arc Length formula is defined as the length of the largest arc formed by two points on a circle and calculated using the minor arc length of that Circular Arc. Major Arc Length of Circular Arc is denoted by l_Major symbol.

How to calculate Major Arc Length given Minor Arc Length using this online calculator? To use this online calculator for Major Arc Length given Minor Arc Length, enter Radius of Circular Arc (r_Arc) & Minor Arc Length of Circular Arc (l_Minor) and hit the calculate button. Here is how the Major Arc Length given Minor Arc Length calculation can be explained with given input values -> 25.41593 = (2*pi*5)-6.

FAQ

What is Major Arc Length given Minor Arc Length?

Major Arc Length given Minor Arc Length formula is defined as the length of the largest arc formed by two points on a circle and calculated using the minor arc length of that Circular Arc and is represented as l_Major = (2*pi*r_Arc)-l_Minor or Major Arc Length of Circular Arc = (2*pi*Radius of Circular Arc)-Minor Arc Length of Circular Arc. Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed & 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 Major Arc Length given Minor Arc Length?

Major Arc Length given Minor Arc Length formula is defined as the length of the largest arc formed by two points on a circle and calculated using the minor arc length of that Circular Arc is calculated using Major Arc Length of Circular Arc = (2*pi*Radius of Circular Arc)-Minor Arc Length of Circular Arc. To calculate Major Arc Length given Minor Arc Length, you need Radius of Circular Arc (r_Arc) & Minor Arc Length of Circular Arc (l_Minor). With our tool, you need to enter the respective value for Radius 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 Major Arc Length of Circular Arc?

In this formula, Major Arc Length of Circular Arc uses Radius 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 -

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

Home

FREE PDFs

🔍 Search