Minor Arc Length given Major 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%
✖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 given Major Arc Length [l_Minor]

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Minor Arc Length given Major Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minor Arc Length of Circular Arc = (2*pi*Radius of Circular Arc)-Major Arc Length of Circular Arc
l_Minor = (2*pi*r_Arc)-l_Major
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.
Radius of Circular Arc - (Measured in Meter) - Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.
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.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Arc: 5 Meter --> 5 Meter No Conversion Required
Major Arc Length of Circular Arc: 25 Meter --> 25 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Minor = (2*pi*r_Arc)-l_Major --> (2*pi*5)-25

Evaluating ... ...

l_Minor = 6.41592653589793

STEP 3: Convert Result to Output's Unit

6.41592653589793 Meter --> No Conversion Required

FINAL ANSWER

6.41592653589793 ≈ 6.415927 Meter <-- Minor Arc Length of Circular Arc

(Calculation completed in 00.013 seconds)

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< Major and Minor Arc Lengths of Circular Arc Calculators

Minor Arc Length given Major Arc Length

LaTeX 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

LaTeX 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

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

Minor Arc Length given Tangent Angle

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

Minor Arc Length given Major Arc Length Formula

LaTeX Go

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

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 Major Arc Length?

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

How to calculate Minor Arc Length given Major Arc Length using this online calculator? To use this online calculator for Minor Arc Length given Major Arc Length, enter Radius of Circular Arc (r_Arc) & Major Arc Length of Circular Arc (l_Major) and hit the calculate button. Here is how the Minor Arc Length given Major Arc Length calculation can be explained with given input values -> 6.415927 = (2*pi*5)-25.

FAQ

What is Minor Arc Length given Major Arc Length?

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

How to calculate Minor Arc Length given Major Arc Length?

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

In this formula, Minor Arc Length of Circular Arc uses Radius of Circular Arc & Major Arc Length 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 = (pi-Tangent Angle of Circular Arc)*Radius of Circular Arc

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