Arc Length Calculator

Knowledge Base

You can find arc length manually and by using arc length formula calculator. A circle is always equal to 360° and it is consisting of consecutive points lined up in 360 degree. If you divide the measured arc’s degree by 360°, you will discover the fraction of the circle’s circumference that the arc makes up.

Then, if you multiply that fraction by the circle’s circumference, the length approach round the circle, you will get the length of the arc. Formula for arc length is

$$\text{arc length}\;= s\;=\;r\;\theta$$

This is the manual way of finding the arc length. You can also find find arc length calculator in terms of pi to accurately find the arc length.

Degree formula of Arc Length Calculator

Arc length formula calculator uses below formula:

$$\text{Arc length}\;=\;2πR\;*\;\frac{C}{360}$$

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

Remember that the circumference of the whole circle is 2πR, so the Arc Length Formula above simply reduces this by dividing the arc angle to a full angle (360).

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.

What is Arc Length Formula (Radians)?

If the central angle is radians, then arc length formula is simpler:

$$\text{arc length}\;= \;R\;*\;C$$

where:

C = is the central angle of the arc(radians)

R =is the radius of the arc

Arc Length Formula (Radians) is the same as the method used in degrees version, but in the degrees, the 2π/360 converts the degrees to radians. Radians and arc length calculator calculus allows you to find results by doing simple clicks.

Another way of measuring angles instead of degrees are Radians. One radian is approximately equals to 57.3° . For dispersion or variation of set of values, try Standard Diviation Calculator.

What is Area of Circle?

We can define area of circle in the following ways:

• All the space inside the circumference of a circle is called the area of that circle.
• Total number of square units inside a circle is called area of that circle.
• Area of space inside the circle is called the area of that circle.

How to find the Area of a Circle?

Length of arc calculator is the best way to find the area of a circle. The basic formula to find the area of a circle is:

$$A = π r^2$$

Where:

A = Area of the circle
π = Mathematical constant whose value is 22/7 or 3.14.

For calculating trapezium or pair of parallel sides, try out area of a trapezoid with vertices calculator.

How to calculate Area of a Circle?

In geometry class, a common problem is to calculate the area of circle depending upon given information. Even though, the formula (A = π r2) is simple and we only need to know the radius of circle to find its area. We also need to practice converting some other bits of the given data in the terms that can help us use this formula.

There are two main ways through which we can calculate area of a circle. The traditional way and the digital way. With digital way you'll need length of arc calculator. Some important terminologies of calculating area of a circle are described below:

• Circumference (C):

Circumference of a circle is the enclosing boundary of that circle.

The length of a line from any point on the boundary of the circle to the center of the circle is known as the radius of the circle.

• Diameter (d):

Diameter is the length of the line that passes across the circle through the center of the circle.

• Pi (π):

Pi is a mathematical constant whose value is approximately 3.14

Now we discuss the methods,

• Method #1:

Pi is a mathematical constant whose value is approximately 3.14

Calculating Area from Diameter

If we know the diameter of a circle, the area can be found using the following formula:

$$Area = πD^2/4$$

Where D is the diameter, and Pi =3.14

• Method #2:

Calculating Area from Circumference

If we know the circumference of a circle, then area can be found as:

$$Area= C^2 /4π$$

Where C is the circumference of the circle.

• Method #3:

Calculating Area from a Sector of a Circle

• Sector:

A sector is defined by drawing two radii from the center out to the edge of the circle. The space between these two radii is called sector.

If we know the area of a sector and its central angle measurement, then:

Acir = Asec * 360/C

Where,
Acir = Area of circle.
Asec = Area of sector.
C = Central angle measure.

How to find Curve Length?

The length of a curve or line is curve length. The length of an arc can be found by following formula for any differentiable curve.

These curves are defined by rectangular, polar or parametric equations. See arc of a circle for the length of a circular arc.

Arc length calculator for curve formula:

where a and b represent x, y, t, or θ-values as appropriate, and DX is the small change in X and Y can be found as well. Length of arc calculator the same formula for accurate results.

$$\text{arc length}\;= s\;=\;r\;\theta$$

For learning limit of a function, equation & formula find our limit table of values calculator for free.

How to find Arc Length Formula Calculator?

Radians radius and arc length calculator with pi can be found easily online. There are numerous arc measure calculators but you need to find out the best one. The tool which shows you the Central angle, Radius and Diameter will be the best length of arc calculator.

How to use Arc Length Calculator?

Calculatored introduce Arc Length Calculator in terms of pi for calculation of Arc length:

Just follow below steps to calculate arc length step by step.

Step #1: Enter the value of Central Angle.

Step #2: Enter the value of Radius.

Step #3: Enter the value of Diameter.

Step #4: Click on the "CALCULATE" button.

Here is the example to calculate Arc Length through arc length formula calculator.

After clicking on the calculate button, radians and arc length calculator will instantly show you the accurate results in terms of central angle, radius and diameter along with arc length.

For the students & teachers of math, we also have integration calculator with steps & derivative of trigonometric functions calculator. These calculators are free to use and a great asset for learning online.

Shaun Murphy

Last updated: September 09, 2020

I'm graduated in biomedical and electrical engineering. Specialization in sports and medical topics but will gladly tackle everything you throw at him. He is a sailor, hiker, and motorcyclist in his free time.