Diameter 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%

✖Diameter of Circle is the length of the chord passing through the center of the Circle.ⓘ Diameter of Circle given Arc Length [D]

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Formula

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Diameter of Circle given Arc Length

Formula

`"D" = (2*"l"_{"Arc"})/"∠"_{"Central"}`

Example

`"10.11102m"=(2*"15m")/"170°"`

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Diameter of Circle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Circle = (2*Arc Length of Circle)/Central Angle of Circle
D = (2*l_Arc)/∠_Central
This formula uses 3 Variables

Variables Used

Diameter of Circle - (Measured in Meter) - Diameter of Circle is the length of the chord passing through the center of 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

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

Evaluating ... ...

D = 10.1110199140753

STEP 3: Convert Result to Output's Unit

10.1110199140753 Meter --> No Conversion Required

FINAL ANSWER

10.1110199140753 ≈ 10.11102 Meter <-- Diameter of Circle

(Calculation completed in 00.020 seconds)

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< 4 Diameter of Circle Calculators

Diameter of Circle given Area

Go Diameter of Circle = 2*sqrt(Area of Circle/pi)

Diameter of Circle given Arc Length

Go Diameter of Circle = (2*Arc Length of Circle)/Central Angle of Circle

Diameter of Circle given Circumference

Go Diameter of Circle = Circumference of Circle/pi

Diameter of Circle

Go Diameter of Circle = 2*Radius of Circle

Diameter of Circle given Arc Length Formula

Diameter of Circle = (2*Arc Length of Circle)/Central Angle of Circle
D = (2*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 Diameter of Circle given Arc Length?

Diameter of Circle given Arc Length calculator uses Diameter of Circle = (2*Arc Length of Circle)/Central Angle of Circle to calculate the Diameter of Circle, Diameter of Circle given Arc Length formula is defined as the length of the chord passing through the center of the Circle and calculated using the arc length of the Circle at a particular central angle. Diameter of Circle is denoted by D symbol.

How to calculate Diameter of Circle given Arc Length using this online calculator? To use this online calculator for Diameter 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 Diameter of Circle given Arc Length calculation can be explained with given input values -> 10.11102 = (2*15)/2.9670597283898.

FAQ

What is Diameter of Circle given Arc Length?

Diameter of Circle given Arc Length formula is defined as the length of the chord passing through the center of the Circle and calculated using the arc length of the Circle at a particular central angle and is represented as D = (2*l_Arc)/∠_Central or Diameter of Circle = (2*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 Diameter of Circle given Arc Length?

Diameter of Circle given Arc Length formula is defined as the length of the chord passing through the center of the Circle and calculated using the arc length of the Circle at a particular central angle is calculated using Diameter of Circle = (2*Arc Length of Circle)/Central Angle of Circle. To calculate Diameter 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 Diameter of Circle?

In this formula, Diameter 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 -

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

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