Arc length calculator with pi to calculate the arc length of a circle. Not only this, but you can also calculate other related parameters such as radius, diameter, segment height, sector area, chord length, and central angle of a circle by using the length of arc calculator.
In geometry:
“The distance among two points along the section of a curve is called its arc length”
Our exact arc length calculator in terms of pi uses the below formula for getting arc length of a circle:
L = r * θ
where:
r = radius of the circle
Θ = central angle of the arc (radians)
where:
C = central angle of the arc (degree)
R = is the radius of the circle
π = is Pi, which is approximately 3.142
360° = Full angle
With the implementation of the above Arc Length Formula, length of arc calculator solves the central angle, radius or arc length easily. Try Circumference Calculator for your practice regarding circumference.
Consider we have a circle having a central angle as \(θ=51^{text{o}}\) and radius as \(r=2.5cm\). How to determine its arc length?
As we know that
s =2r*(C/360 degrees)
where:
C = central angle of the arc (degree)
R = is the radius of the circle
π = is Pi, which is approximately 3.142
360° = Full angle
With the implementation of the above Arc Length Formula, the length of arc calculator solves the central angle, radius, or arc length easily. Try Circumference Calculator for your practice regarding circumference.
To use our length of curve calculator, you need to set certain inputs and enter their values to calculate results:
Input:
Output:
The length of a curve or line is curve length. The length of an arc can be found by following the formula for any differentiable curve.
$$ s=\int_{a}^{b}\sqrt{1+\frac{dy}{dx}^{2}, dx} $$
These curves are defined by rectangular, polar, or parametric equations. And the exact arc length calculator integral employs the same equation to calculate the length of the arc using the integral notation.
The arc length is basically the distance and that is why, it cannot be represented in terms of radians. Conversion of angle in radians just makes the calculations easy. But it cannot be the final unit to define this geometrical parameter.
From the source Wikipedia: Arc length, Finding arc lengths by integration, Arcs of circles, Curves with infinite length
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