Circumference of Circle given Arc Length Calculator

✖Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle.ⓘ Arc Length of Circle [l_Arc]			+10% -10%
✖Central Angle of Circle is an angle whose apex (vertex) is the centre O of a Circle and whose legs (sides) are radii intersecting the circle in two distinct points.ⓘ Central Angle of Circle [∠_Central]			+10% -10%

✖Circumference of Circle is the distance around the Circle.ⓘ Circumference of Circle given Arc Length [C]

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Circumference of Circle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumference of Circle = (2*pi*Arc Length of Circle)/Central Angle of Circle
C = (2*pi*l_Arc)/∠_Central
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Circumference of Circle - (Measured in Meter) - Circumference of Circle is the distance around the Circle.
Arc Length of Circle - (Measured in Meter) - Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle.
Central Angle of Circle - (Measured in Radian) - Central Angle of Circle is an angle whose apex (vertex) is the centre O of a Circle and whose legs (sides) are radii intersecting the circle in two distinct points.

STEP 1: Convert Input(s) to Base Unit

Arc Length of Circle: 15 Meter --> 15 Meter No Conversion Required
Central Angle of Circle: 170 Degree --> 2.9670597283898 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

C = (2*pi*l_Arc)/∠_Central --> (2*pi*15)/2.9670597283898

Evaluating ... ...

C = 31.7647058823589

STEP 3: Convert Result to Output's Unit

31.7647058823589 Meter --> No Conversion Required

FINAL ANSWER

31.7647058823589 ≈ 31.76471 Meter <-- Circumference of Circle

(Calculation completed in 00.007 seconds)

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Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

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St Joseph's College (SJC), Bengaluru

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< Circumference of Circle Calculators

Circumference of Circle given Arc Length

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

Circumference of Circle given Area

LaTeX Go Circumference of Circle = sqrt(4*pi*Area of Circle)

Circumference of Circle given Diameter

LaTeX Go Circumference of Circle = pi*Diameter of Circle

Circumference of Circle

LaTeX Go Circumference of Circle = 2*pi*Radius of Circle

Circumference of Circle given Arc Length Formula

LaTeX Go

Circumference of Circle = (2*pi*Arc Length of Circle)/Central Angle of Circle
C = (2*pi*l_Arc)/∠_Central

What is a 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 Circumference of Circle given Arc Length?

Circumference of Circle given Arc Length calculator uses Circumference of Circle = (2*pi*Arc Length of Circle)/Central Angle of Circle to calculate the Circumference of Circle, Circumference of Circle given Arc Length formula is defined as the distance all the way around the Circle and calculated using the length of a particular arc and the central angle of that arc of the Circle. Circumference of Circle is denoted by C symbol.

How to calculate Circumference of Circle given Arc Length using this online calculator? To use this online calculator for Circumference of Circle given Arc Length, enter Arc Length of Circle (l_Arc) & Central Angle of Circle (∠_Central) and hit the calculate button. Here is how the Circumference of Circle given Arc Length calculation can be explained with given input values -> 31.76471 = (2*pi*15)/2.9670597283898.

FAQ

What is Circumference of Circle given Arc Length?

Circumference of Circle given Arc Length formula is defined as the distance all the way around the Circle and calculated using the length of a particular arc and the central angle of that arc of the Circle and is represented as C = (2*pi*l_Arc)/∠_Central or Circumference of Circle = (2*pi*Arc Length of Circle)/Central Angle of Circle. Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle & Central Angle of Circle is an angle whose apex (vertex) is the centre O of a Circle and whose legs (sides) are radii intersecting the circle in two distinct points.

How to calculate Circumference of Circle given Arc Length?

Circumference of Circle given Arc Length formula is defined as the distance all the way around the Circle and calculated using the length of a particular arc and the central angle of that arc of the Circle is calculated using Circumference of Circle = (2*pi*Arc Length of Circle)/Central Angle of Circle. To calculate Circumference of Circle given Arc Length, you need Arc Length of Circle (l_Arc) & Central Angle of Circle (∠_Central). With our tool, you need to enter the respective value for Arc Length of Circle & Central Angle of Circle 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 Circumference of Circle?

In this formula, Circumference of Circle uses Arc Length of Circle & Central Angle of Circle. We can use 3 other way(s) to calculate the same, which is/are as follows -

Circumference of Circle = 2*pi*Radius of Circle
Circumference of Circle = sqrt(4*pi*Area of Circle)
Circumference of Circle = pi*Diameter of Circle

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