Arc Length of Circular Arc given Circumference Calculator

✖Circumference of Circle of Circular Arc is the total length of the boundary of the circle from which the Circular Arc is formed.ⓘ Circumference of Circle of Circular Arc [C_Circle]			+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 given Circumference [l_Arc]

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Arc Length of Circular Arc given Circumference Solution

STEP 0: Pre-Calculation Summary

Formula Used

Arc Length of Circular Arc = Circumference of Circle of Circular Arc*Angle of Circular Arc/(2*pi)
l_Arc = C_Circle*∠_Arc/(2*pi)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Circumference of Circle of Circular Arc - (Measured in Meter) - Circumference of Circle of Circular Arc is the total length of the boundary 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

Circumference of Circle of Circular Arc: 30 Meter --> 30 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 = C_Circle*∠_Arc/(2*pi) --> 30*0.698131700797601/(2*pi)

Evaluating ... ...

l_Arc = 3.33333333333271

STEP 3: Convert Result to Output's Unit

3.33333333333271 Meter --> No Conversion Required

FINAL ANSWER

3.33333333333271 ≈ 3.333333 Meter <-- Arc Length of Circular Arc

(Calculation completed in 00.004 seconds)

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Created by Pramod Singh

Indian Institute of Technology (IIT), Guwahati

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National Institute of Technology (NIT), Jamshedpur

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< 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 given Circumference Formula

LaTeX Go

Arc Length of Circular Arc = Circumference of Circle of Circular Arc*Angle of Circular Arc/(2*pi)
l_Arc = C_Circle*∠_Arc/(2*pi)

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 given Circumference?

Arc Length of Circular Arc given Circumference calculator uses Arc Length of Circular Arc = Circumference of Circle of Circular Arc*Angle of Circular Arc/(2*pi) to calculate the Arc Length of Circular Arc, Arc Length of Circular Arc given Circumference formula is defined as the length of the curve cut from the circle at a particular central angle and calculated using the circumference of the circle from which the Circular Arc is formed. Arc Length of Circular Arc is denoted by l_Arc symbol.

How to calculate Arc Length of Circular Arc given Circumference using this online calculator? To use this online calculator for Arc Length of Circular Arc given Circumference, enter Circumference of Circle of Circular Arc (C_Circle) & Angle of Circular Arc (∠_Arc) and hit the calculate button. Here is how the Arc Length of Circular Arc given Circumference calculation can be explained with given input values -> 3.333333 = 30*0.698131700797601/(2*pi).

FAQ

What is Arc Length of Circular Arc given Circumference?

Arc Length of Circular Arc given Circumference formula is defined as the length of the curve cut from the circle at a particular central angle and calculated using the circumference of the circle from which the Circular Arc is formed and is represented as l_Arc = C_Circle*∠_Arc/(2*pi) or Arc Length of Circular Arc = Circumference of Circle of Circular Arc*Angle of Circular Arc/(2*pi). Circumference of Circle of Circular Arc is the total length of the boundary 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 given Circumference?

Arc Length of Circular Arc given Circumference formula is defined as the length of the curve cut from the circle at a particular central angle and calculated using the circumference of the circle from which the Circular Arc is formed is calculated using Arc Length of Circular Arc = Circumference of Circle of Circular Arc*Angle of Circular Arc/(2*pi). To calculate Arc Length of Circular Arc given Circumference, you need Circumference of Circle of Circular Arc (C_Circle) & Angle of Circular Arc (∠_Arc). With our tool, you need to enter the respective value for Circumference of Circle 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 Circumference of Circle 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 = Radius of Circular Arc*Angle of Circular Arc
Arc Length of Circular Arc = (2*Sector Area of Circular Arc)/Radius of Circular Arc

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