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*lArc)/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*lArc)/∠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 00.020 seconds)

Credits

Created by Anamika Mittal
Vellore Institute of Technology (VIT), Bhopal
Anamika Mittal has created this Calculator and 50+ more calculators!
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

5 Circumference of Circle Calculators

Circumference of Circle given Chord Length
Go Circumference of Circle = (2*pi*Chord Length of Circle)/(2*sin(Central Angle of Circle/2))
Circumference of Circle given Arc Length
Go Circumference of Circle = (2*pi*Arc Length of Circle)/Central Angle of Circle
Circumference of Circle given Area
Go Circumference of Circle = sqrt(4*pi*Area of Circle)
Circumference of Circle given Diameter
Go Circumference of Circle = pi*Diameter of Circle
Circumference of Circle
Go Circumference of Circle = 2*pi*Radius of Circle

Circumference of Circle given Arc Length Formula

Circumference of Circle = (2*pi*Arc Length of Circle)/Central Angle of Circle
C = (2*pi*lArc)/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 (lArc) & 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*lArc)/∠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 (lArc) & 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 4 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
  • Circumference of Circle = (2*pi*Chord Length of Circle)/(2*sin(Central Angle of Circle/2))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!