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Solving problems on an arc length calculator is never easy. It requires understanding the types of arc length, time to solve the problems carefully and understanding the arc length components. However, most students lack these capabilities. Thus, they seek the assistance of the length of the arc calculator. But, all arc length formula calculators don’t generate precise results.

On the other hand, the arc length of a curve calculator of MyAsssignmenthelp.com offers accurate results in a flash. Thus, it is the best in the market to generate the arc length. To know more about our arc length calculator, use our calculator. NOW!

Arc length is the distance between two points throughout a section of a curve.

You can measure the curve in the plane by connecting a finite number of points on the curve using line segments to develop a polygonal path. Since you can calculate the length of each linear segment using the Pythagorean theorem in Euclidean space with or without the length of an arc calculator or arc length of the curve calculator, you can find the total length of the approximation by adding the lengths of each linear segment.

If the curve is not already a polygonal path, using a systematic, more significant number of segments of smaller lengths will lead to better calculations. Else you may use an arc length formula calculator. The sizes of the successive estimates will not decrease and may keep increasing indefinitely, but if you want smooth curves, it will tend to a finite limit since the lengths of the segments get abruptly small. You can get geometry homework answers from top experts at Myassignmenthelp.com.

The arc length of a circle can be calculated with the length of the arc calculator using different formulas based on the unit of the centre angle of the arc. Even if you find the arc length using a calculator, you must express the arc length formula in radians. It can be expressed as,

Arc Length = θ × r

where,

- L = Arc Length
- θ = Center angle of the arc in radians
- r = Radius of the circle

Arc Length Formula (if θ is in radians):

s = ϴ × r

You can calculate the arc length of an arc of a circle using different methods and formulas based on the given data. Some critical cases are:

- find arc length with the radius and central angle
- find arc length without the radius
- find arc length without the central angle

Fortunately, there are several forms of calculators to assist you with that:

- Arc length parametric calculator
- Arc length formula calculus calculator
- Calculus arc length calculator
- Arc length vector calculator
- Arc length of a circle calculator
- Arc length and sector area calculator
- Arc length to angle calculator
- Arc length of ellipse calculator

Whether you use an arc length of a curve calculator, radius arc length calculator, vector arc length calculator, the procedure of searching result of an arc length calculator is the same:

**Choose the type**

Find the arc length of the curve calculator and choose the type of arc length for which you want the information.

**Enter a function**

Input the function of the arc length calculator parametric specifying the values in

**Enter a lower limit**

Type the lower limit in the arc length of a parametric curve calculator. It can be any integer values

**Enter an upper limit**

Enter the upper limit to find the length of an arc calculator

**Click on calculate**

You will get the results in seconds. In case you find an error message, ensure that the values you have input are accurate.

Wonder why students need experts to solve length problems though they can find the length of the arc using a calculator. Here are the main reasons:

**Can’t recognize the arc length type**

Even if you find the length of the arc using a length of the arc calculator like wolfram alpha arc length calculator or arc length calculator of symbolab, you must recognize the type of arc length for which you need the solution. Unfortunately, some students lack knowledge about it, and thus the results generated also seem confusing to them, and the experts help solve the problem.

**Lack of proper knowledge of the arc length components**

An arc length formula includes at least 3 components: arc length, L or s; Center angle of the arc in radians, θ and Radius of the circle, r. unfortunately, some students can’t identify these elements of the arc length. Thus, irrespective of having numerous arc length polar calculators or circle calculators for arc length, they take the help of assignment helpers .

**Lack of time**

Arc length is a part of the calculus, a complicated math section for many students. Unfortunately, not all students cat devote long hours to deal with a single complex arc length problem when they have thousands of academic tasks to submit in a given time. Thus, they leave their worries to the experts to get the job done rather than manually using a circle calculator for arc length or arc length calculator for calculus.

The arc length of a circle can be calculated without the radius or radius arc length calculator using central angle and the sector area:

- Multiply the sector area by 2 and further, divide the result by the central angle in radians.
- Find the square root of the result of the division.
- Multiply this obtained root by the central angle again to get the arc length.
- The units of this calculated arc length will be the square root of the sector area units.
- you may also use

Discussed below are some of the examples of the arc length solution. You can also use the arc length of the curve calculator to calculate the result.

**Example 1:*** *

Find the length of the arc whose radius is 5 units, and the central angle is 4 radians. Verify the result using the vector arc length calculator

**Solution:**

As the central angle is given in radians, we use the formula, L = θ × r

L = 4 × 5

L = 20 units.

Thus, the arc length is 20 units.

**Example 2:*** *

Find the length of the arc whose radius is 3.5 units, and the central angle is 6 degrees. Verify the result using the arc length of the curve calculator.

**Solution:**

As the central angle is given in radians, we use the formula, L = θ × (π/180) × r

L = 6 × (3.14 / 180) × 3.5

L = 0.37 units.

Thus, the arc length is 0.37 units.

Now, use the arc length of the polar curve calculator to find the arc length with the given dimensions:

- Radius = 20 units, Angle = 2 radians
- Radius = 14.3 units, Angle = 17 degrees

Whether you want to find radius from arc length using a calculator, ellipse arc length calculator or arc length of polar curve calculator, you must know the types of arc lengths based on which you must solve the problems

**Minor arc**

The minor arc is an arc that subtends an angle of fewer than 180 degrees to the circle's centre. In other words, the minor arc measures less than a semicircle and is represented on the circle by two points. You may use an ellipse arc length calculator to find the arc length.

**Major arc**

The major arc is an arc that subtends an angle of more than 180 degrees to the circle's centre. The major arc is greater than the semicircle and is represented by three points on a circle. Use a circle calculator to find the arc length.

**Semicircle**

A semicircle is a half-circle formed by cutting a whole circle into two halves along a diameter line. A line segment known as the diameter of a circle cuts the circle into precisely two equal semicircles. The semicircle has only one line of symmetry which is the reflection symmetry. You may find radius from the arc length calculator very simply.

The arc length of a circle can be calculated with the radius and central angle using the arc length formula,

- Length of an Arc = θ × r, where θ is in radian.
- Length of an Arc = θ × (π/180) × r, where θ is in degree

The formula for arclength of a function f(x) on the interval (a,b) is ∫ba(√1+(f'(x))2)dx . In this case, f(x)=y=13x3+14x=13x3+14x−1 .

Length=5924≈2.4583

The formula is ∫ba(√1+(f'(x))2)dx.

In this case, f(x)=y=13x3+14x=13x3+14x−1.

Find the derivative:

f'(x)=x2−14x−2=x2−14x2

Square f'(x):

(f'(x))2=(x2−14x2)(x2−14x2)

=x4−12+116x4

Length=∫21√1+(x4+116x4−12)dx

=∫21√x4+12+116x4dx

Factor by symmetry:

=∫21√(x2+14x2)2dx

=∫21(x2+14x−2)dx

=[13x3−14x−1]21

=(233−124)−(13−14)

=83−18−13+14

=73+18

=5624+324

=5924

≈2.4583

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