Arc Length of Circular Arc 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%
✖Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.ⓘ Angle of Circular Arc [∠_Arc]			+10% -10%

✖Arc Length of Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle.ⓘ Arc Length of Circular Arc [l_Arc]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Circular Arc and Circular Quadrant Formulas PDF PDF Image

Arc Length of Circular Arc Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Circular Arc = Radius of Circular Arc*Angle of Circular Arc
l_Arc = r_Arc*∠_Arc
This formula uses 3 Variables

Variables Used

Arc Length of Circular Arc - (Measured in Meter) - Arc Length of Circular Arc is the length of a piece of the boundary of a circle cut at a particular central angle.
Radius of Circular Arc - (Measured in Meter) - Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed.
Angle of Circular Arc - (Measured in Radian) - Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.

STEP 1: Convert Input(s) to Base Unit

Radius of Circular Arc: 5 Meter --> 5 Meter No Conversion Required
Angle of Circular Arc: 40 Degree --> 0.698131700797601 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_Arc = r_Arc*∠_Arc --> 5*0.698131700797601

Evaluating ... ...

l_Arc = 3.490658503988

STEP 3: Convert Result to Output's Unit

3.490658503988 Meter --> No Conversion Required

FINAL ANSWER

3.490658503988 ≈ 3.490659 Meter <-- 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 » Arc Length of Circular Arc » Arc Length of Circular Arc

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

< Arc Length of Circular Arc Calculators

Arc Length of Circular Arc given Circumference

LaTeX Go Arc Length of Circular Arc = Circumference of Circle of Circular Arc*Angle of Circular Arc/(2*pi)

Arc Length of Circular Arc given Sector Area

LaTeX Go Arc Length of Circular Arc = (2*Sector Area of Circular Arc)/Radius of Circular Arc

Arc Length of Circular Arc

LaTeX Go Arc Length of Circular Arc = Radius of Circular Arc*Angle of Circular Arc

Arc Length of Circular Arc Formula

LaTeX Go

Arc Length of Circular Arc = Radius of Circular Arc*Angle of Circular Arc
l_Arc = r_Arc*∠_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 Arc Length of Circular Arc?

Arc Length of Circular Arc calculator uses Arc Length of Circular Arc = Radius of Circular Arc*Angle of Circular Arc to calculate the Arc Length of Circular Arc, Arc Length of Circular Arc formula is defined as the length of the curve cut from the circle at a particular central angle. Arc Length of Circular Arc is denoted by l_Arc symbol.

How to calculate Arc Length of Circular Arc using this online calculator? To use this online calculator for Arc Length of Circular Arc, enter Radius of Circular Arc (r_Arc) & Angle of Circular Arc (∠_Arc) and hit the calculate button. Here is how the Arc Length of Circular Arc calculation can be explained with given input values -> 3.490659 = 5*0.698131700797601.

FAQ

What is Arc Length of Circular Arc?

Arc Length of Circular Arc formula is defined as the length of the curve cut from the circle at a particular central angle and is represented as l_Arc = r_Arc*∠_Arc or Arc Length of Circular Arc = Radius of Circular Arc*Angle of Circular Arc. Radius of Circular Arc is the radius of the circle from which the Circular Arc is formed & Angle of Circular Arc is the angle subtended by the end points of a Circular Arc with the center of the circle from which the arc is formed.

How to calculate Arc Length of Circular Arc?

Arc Length of Circular Arc formula is defined as the length of the curve cut from the circle at a particular central angle is calculated using Arc Length of Circular Arc = Radius of Circular Arc*Angle of Circular Arc. To calculate Arc Length of Circular Arc, you need Radius of Circular Arc (r_Arc) & Angle of Circular Arc (∠_Arc). With our tool, you need to enter the respective value for Radius of Circular Arc & Angle 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 Arc Length of Circular Arc?

In this formula, Arc Length of Circular Arc uses Radius of Circular Arc & Angle of Circular Arc. We can use 2 other way(s) to calculate the same, which is/are as follows -

Arc Length of Circular Arc = Circumference of Circle of Circular Arc*Angle of Circular Arc/(2*pi)
Arc Length of Circular Arc = (2*Sector Area of Circular Arc)/Radius of Circular Arc

Home

FREE PDFs

🔍 Search