What you need to learn about Arc length and circumference?

Circle is considered as the most fundamental and interesting shapes of mathematics. A round shape having a diameter of 360 degrees and becomes on getting half. The concepts, geometry and understanding of circle is considered as an integral part of any grade's mathematics.

Course impact

The course of mathematics from primary grade encloses the basic concept of geometry and circle. There are formulas and methods to understand the base of circle’s diameter and circumference. These books from primary grades contains many pictures and sum problems for better understanding as well. These help students to get the tricky and technical problems related to circle’s circumference and arc length in higher standards. According to a survey it’s found that many students love to solve the mathematical problems relevant to geometry instead of integration and calculus.

What is circumference?

Circumference is only dealt by the edges and is a peculiar case of perimeter. Circle actually upon straighten up gives a length, that’s the distance covered by the circle. This is called the circumference, which is derived from a Greek word 'carrying around'. Circumference basically deals with the external use of the circle. 2?r is the circumference of the Normal circle. It’s one of the most interesting and basic concepts of mathematics. The circumference is generally dealt under the branch of geometry.

How to calculate circumference?

Dividing the circle into two parts, the line that cuts the circle into two equal halves is said to be the diameter of the circle. The circle needs to be divided equally by precise measurement in order to get the diameter. Calculating circumference directly by visualizing the circle is quite difficult. When we consider manual calculation, finding out the exact circumference seems to be very technical and tough for the beginners. Generally, the circumference of the circle is calculated by finding the diameter of the circle first. Online calculators are available to calculate the circumference of the circle directly. You can go for the online calculators in case of direct measurement requirement. Otherwise calculating with the help of diameter is a good option.

Formula

As described earlier, the formula for the calculation of circumference is 2?r. Here r is the radius. We get the radius of the circle by dividing the value of diameter by two. Or 2?d, is the formula for direct calculation.

Let’s take an example. Suppose a circle having a diameter of 4m. Now for the calculation of its circumference we will put it in the formula of 2?d. Multiple 4 by 3.14 and 2. You will get the result as 25.12 m.

What is an arc length?

The curved length of the circle is termed as arc length.It’s a derivation of the circumference of the circle. An arc length is the portion of the circle's circumference. The distance covered by the arc length is found to be greater as compared to the distance covered by the straight line. An arc length is the portion out of the whole 360 degrees of the circle. It’s important to know and learn about arc length and its calculation methods especially while dealing with the geometric calculations.

Calculation method of arc length.

Arc length is represented by the letter 's'. Arc length can be calculated by multiplying the circumference of the circle with the fraction if the circle. The fraction of the circle is the length of the arc out of the 360 degree of the circle. The degree measurement of arc length is represented as mAB. Let’s suppose the portion if which length we are calculating is AB. The formula used for the calculation of the arc length is.

Length AB={mAB/360} (2? r)

Let’s suppose the mAB of the circle is 20. Then divide 20 by 360 in order to calculate the fraction of the circle which we are going to calculate. Then multiply the answered with 2?r in order to find the arclength of the portion targeted.

Calculation

MAB=20

R= 4m

Then putting the values in the formula.

Length AB= {20/360} (2? 4)

=0.05 (25.12)

=1.256 m.

Hence calculating arc length and circumference are simple and easy. You can calculate both manually or by online calculators available on internet. It is important to learn these concepts to have a command in geometry which is an essential subject of mathematics.

Creative and Technical Writer and professionally Mathematician