Circumference of Circle given Chord Length Calculator

✖Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle.ⓘ Chord Length of Circle [l_c]			+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 Chord Length [C]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Circle Formulas PDF PDF Image

Circumference of Circle given Chord Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Circumference of Circle - (Measured in Meter) - Circumference of Circle is the distance around the Circle.
Chord Length of Circle - (Measured in Meter) - Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle.
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

Chord Length of Circle: 8 Meter --> 8 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_c)/(2*sin(∠_Central/2)) --> (2*pi*8)/(2*sin(2.9670597283898/2))

Evaluating ... ...

C = 25.2287442172317

STEP 3: Convert Result to Output's Unit

25.2287442172317 Meter --> No Conversion Required

FINAL ANSWER

25.2287442172317 ≈ 25.22874 Meter <-- Circumference of Circle

(Calculation completed in 00.007 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Circle » Circle » Circumference of Circle » Circumference of Circle given Chord Length

Credits

Created by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has created this Calculator and 50+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

< 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 Chord Length Formula

LaTeX Go

Circumference of Circle = (2*pi*Chord Length of Circle)/(2*sin(Central Angle of Circle/2))
C = (2*pi*l_c)/(2*sin(∠_Central/2))

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 Chord Length?

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

How to calculate Circumference of Circle given Chord Length using this online calculator? To use this online calculator for Circumference of Circle given Chord Length, enter Chord Length of Circle (l_c) & Central Angle of Circle (∠_Central) and hit the calculate button. Here is how the Circumference of Circle given Chord Length calculation can be explained with given input values -> 25.22874 = (2*pi*8)/(2*sin(2.9670597283898/2)).

FAQ

What is Circumference of Circle given Chord Length?

Circumference of Circle given Chord Length formula is defined as the distance all the way around the Circle and calculated using the length of a particular chord and the central angle of that chord of the Circle and is represented as C = (2*pi*l_c)/(2*sin(∠_Central/2)) or Circumference of Circle = (2*pi*Chord Length of Circle)/(2*sin(Central Angle of Circle/2)). Chord Length of Circle is the length of a line segment connecting any two points on the circumference of a Circle & 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 Chord Length?

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

Home

FREE PDFs

🔍 Search