Radius 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%

✖Radius of Circle is the length of any line segment joining the center and any point on the Circle.ⓘ Radius of Circle given Arc Length [r]

⎘ Copy

👎

Formula

✖

Radius of Circle given Arc Length

Formula

`"r" = "l"_{"Arc"}/"∠"_{"Central"}`

Example

`"5.05551m"="15m"/"170°"`

Calculator

LaTeX

Reset

👍

Download Circle Formulas PDF

Radius of Circle given Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circle = Arc Length of Circle/Central Angle of Circle
r = l_Arc/∠_Central
This formula uses 3 Variables

Variables Used

Radius of Circle - (Measured in Meter) - Radius of Circle is the length of any line segment joining the center and any point on 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

r = l_Arc/∠_Central --> 15/2.9670597283898

Evaluating ... ...

r = 5.05550995703763

STEP 3: Convert Result to Output's Unit

5.05550995703763 Meter --> No Conversion Required

FINAL ANSWER

5.05550995703763 ≈ 5.05551 Meter <-- Radius of Circle

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 2D Geometry » Circle » Circle » Radius of Circle » Radius of Circle given Arc Length

Credits

Created by Team Softusvista

Softusvista Office (Pune), India

Team Softusvista has created this Calculator and 600+ more calculators!

Verified by Anirudh Singh

National Institute of Technology (NIT), Jamshedpur

Anirudh Singh has verified this Calculator and 50+ more calculators!

< 4 Radius of Circle Calculators

Radius of Circle given Area

Go Radius of Circle = sqrt(Area of Circle/pi)

Radius of Circle given Arc Length

Go Radius of Circle = Arc Length of Circle/Central Angle of Circle

Radius of Circle given Circumference

Go Radius of Circle = (Circumference of Circle)/(2*pi)

Radius of Circle given Diameter

Go Radius of Circle = Diameter of Circle/2

Radius of Circle given Arc Length Formula

Radius of Circle = Arc Length of Circle/Central Angle of Circle
r = 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 Radius of Circle given Arc Length?

Radius of Circle given Arc Length calculator uses Radius of Circle = Arc Length of Circle/Central Angle of Circle to calculate the Radius of Circle, Radius of Circle given Arc Length formula is defined as the length of any line from the center to any point on the Circle and calculated using the arc length of the Circle at a particular central angle. Radius of Circle is denoted by r symbol.

How to calculate Radius of Circle given Arc Length using this online calculator? To use this online calculator for Radius 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 Radius of Circle given Arc Length calculation can be explained with given input values -> 5.05551 = 15/2.9670597283898.

FAQ

What is Radius of Circle given Arc Length?

Radius of Circle given Arc Length formula is defined as the length of any line from the center to any point on the Circle and calculated using the arc length of the Circle at a particular central angle and is represented as r = l_Arc/∠_Central or Radius of Circle = 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 Radius of Circle given Arc Length?

Radius of Circle given Arc Length formula is defined as the length of any line from the center to any point on the Circle and calculated using the arc length of the Circle at a particular central angle is calculated using Radius of Circle = Arc Length of Circle/Central Angle of Circle. To calculate Radius 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 Radius of Circle?

In this formula, Radius 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 -

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

Home

FREE PDFs

🔍 Search