What is ARC length formula?

An arc length is a distance between two points that are located on a section of a curve. The arc length has a different formula, which means it can be calculated in different ways. If 0 is in degrees, then the Arc length formula is s=2πr (0/3600).

If 0 is in radians then the arc length formula is s= 0 x r, when the arc length is in an integral form then the formula is s= (int^{b}_asqrt{1+(frac{dy}{dx})^2}dx).

For example, if the radius of an arc is 8cm and the central angle 400, the calculation will be 2 x π x 8 x (400/3600) = 5.582cm. The same procedure should be done to other methods, just follow the formula and input the digit where necessary.

The arc length refers to the length between two points of the distance along the curved line that makes up an arc (which is a segment of a circle). The arc length is calculated as: There are 3 possible formulas to calculate the arc length:

1. If Ï´ is in degrees: Arc Length = s = 2 π r (θ/360)
2. Integral method: Arc Length = s= ∫ba √1+(dydx)2dx
3. If Ï´ is in radians: Arc length = s = Ï´ × r
Where:
S stands for the arc length
Ï´ stands for the central angle of the arc
r stands for the radius of the circle
π stands for Pi, which is approximately 3.142

Do you know that there are different arc length formulas that are available depending on what you are trying to compute?

* For example, if you are searching for the arc length formula in degrees, the formula will be s = 2 π r (θ/360).

* If you are trying to find the formula for the arc length in radians, you would need to use this formula: s = Ï´ × r.

* The next formula may be a bit complicated, but you need to use this formula when you would like to use the arc length formula in integral form: s= \int^{b}_a\sqrt{1+(\frac{dy}{dx})^2}dx.

* It may seem complicated in the beginning, but the more that you understand these formulas, the easier it will be for you to compute.

Arc length simply refers to the distance between two points that are located on a section of a curve.
Whereas the formula for calculating the arc length can be mathematically represented by s= r × "theta,"; where s is the arc length (in radians), r stands for radius, and "theta" represents the central angle (in radians). However, this formula is applied when theta is measured in radians.

But when theta is measured in degrees, you will be using a different formula. The formula to be used is s= (theta/360) × 2πr; where s remains the length of the arc, theta represents the central angle (in degrees), r stands for radius, while π is equal to 22/7 or 3.14 when rounded up. Radius refers to the distance between the center of a circle and its circumference. So, if you have a radius as 2m, and theta as 90° radians; your arc length, s, will be equal to 2×90, which is equal to 180m.