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Radius of Circle from Arc Angle and Arc Length Solution

STEP 0: Pre-Calculation Summary
Formula Used
radius_of_circle = Arc Length/Subtended Angle in Radians
r = s/θ
This formula uses 2 Variables
Variables Used
Arc Length - Arc length is the distance between two points along a section of a curve. (Measured in Meter)
Subtended Angle in Radians - Subtended Angle in radians is the angle made by something from a given viewpoint. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Arc Length: 2.4 Meter --> 2.4 Meter No Conversion Required
Subtended Angle in Radians: 3.14 Degree --> 0.0548033385126116 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = s/θ --> 2.4/0.0548033385126116
Evaluating ... ...
r = 43.7929524940839
STEP 3: Convert Result to Output's Unit
43.7929524940839 Meter -->4379.29524940839 Centimeter (Check conversion here)
FINAL ANSWER
4379.29524940839 Centimeter <-- Radius of circle
(Calculation completed in 00.016 seconds)

8 Radius of Circle Calculators

Radius of circle given centre (h,k) and point(x,y)
radius = sqrt(((Distance between X-axis and point on the circle-Distance between x-axis and center of circle)^2)+((Distance between Y-axis and point on the circle-Distance between y-axis and center of circle)^2)) Go
radius of circle with center at origin
radius = sqrt((Distance between X-axis and point on the circle^2)+(Distance between Y-axis and point on the circle^2)) Go
Radius of Circle from Arc Angle and Area
radius_of_circle = sqrt((Area of Sector*2)/Subtended Angle in Radians) Go
Radius of a circle when area is given
radius = sqrt(Area of Circle/pi) Go
Radius of Circle from Arc Angle and Arc Length
radius_of_circle = Arc Length/Subtended Angle in Radians Go
Radius of circle when area of sector and angle are given
radius = (2*Area of Sector/Central Angle)^0.5 Go
Radius of a circle when circumference is given
radius = (Circumference of Circle)/(pi*2) Go
Radius of a circle when diameter is given
radius = Diameter/2 Go

Radius of Circle from Arc Angle and Arc Length Formula

radius_of_circle = Arc Length/Subtended Angle in Radians
r = s/θ

What is Arc Length?

The arc length is defined as the portion of the circumference of a circle enclosed between two radii of circle subtended arc angle. The Radius from Arc Angle and Arc Length can be find dividing arc length by arc angle (in radian).

How to Calculate Radius of Circle from Arc Angle and Arc Length?

Radius of Circle from Arc Angle and Arc Length calculator uses radius_of_circle = Arc Length/Subtended Angle in Radians to calculate the Radius of circle, The radius of circle from Arc Angle and Arc Length is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length. Radius of circle and is denoted by r symbol.

How to calculate Radius of Circle from Arc Angle and Arc Length using this online calculator? To use this online calculator for Radius of Circle from Arc Angle and Arc Length, enter Arc Length (s) and Subtended Angle in Radians (θ) and hit the calculate button. Here is how the Radius of Circle from Arc Angle and Arc Length calculation can be explained with given input values -> 4379.295 = 2.4/0.0548033385126116.

FAQ

What is Radius of Circle from Arc Angle and Arc Length?
The radius of circle from Arc Angle and Arc Length is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length and is represented as r = s/θ or radius_of_circle = Arc Length/Subtended Angle in Radians. Arc length is the distance between two points along a section of a curve and Subtended Angle in radians is the angle made by something from a given viewpoint.
How to calculate Radius of Circle from Arc Angle and Arc Length?
The radius of circle from Arc Angle and Arc Length is any of the line segments from its center to its perimeter, and in more modern usage, it is also their length is calculated using radius_of_circle = Arc Length/Subtended Angle in Radians. To calculate Radius of Circle from Arc Angle and Arc Length, you need Arc Length (s) and Subtended Angle in Radians (θ). With our tool, you need to enter the respective value for Arc Length and Subtended Angle in Radians 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 and Subtended Angle in Radians. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • radius_of_circle = Arc Length/Subtended Angle in Radians
  • radius_of_circle = sqrt((Area of Sector*2)/Subtended Angle in Radians)
  • radius = (2*Area of Sector/Central Angle)^0.5
  • radius = sqrt(((Distance between X-axis and point on the circle-Distance between x-axis and center of circle)^2)+((Distance between Y-axis and point on the circle-Distance between y-axis and center of circle)^2))
  • radius = sqrt((Distance between X-axis and point on the circle^2)+(Distance between Y-axis and point on the circle^2))
  • radius = (Circumference of Circle)/(pi*2)
  • radius = sqrt(Area of Circle/pi)
  • radius = Diameter/2
Where is the Radius of Circle from Arc Angle and Arc Length calculator used?
Among many, Radius of Circle from Arc Angle and Arc Length calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
{FormulaExamplesList}
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