Arc

Throughout mathematics and quantitative aptitude, an arc is described as a curve that joins 2 endpoints. In normal terms, an arc is a section within a circle. It can also be explained as a section within a circle’s circumference. An Arc is a section within a curve. Instead of being a portion within a circle, an arc is also referred to as the portion of different other curved shapes such as the ellipse that is similar to a circle. These shapes include the Ellipse sphere and other similar shapes. Measuring the arc length is very important in mathematics.

Arc Meaning 

In Arithmetic, or more specifically in quantitative aptitude, arc means a section of a circle or the section of a curve. The straight line that joins the end of an arc is called are specifically known as a circle’s chord. 

Arc of a circle

The Arc of a circle can be described as a segment or part of the overall circumference of a given circle. A straight which can be drawn through the 2 ends of an arc is called the circle’s chord. Sometimes it is seen that the arc length is exactly half as that of the circumference of the circle. In these cases, the arc of the circle is referred to by the name semi-circle. It is also called a semicircular arc. 

An arc of a circle can be measured through one of two well-known methods. These are The length of the arc and the angle of the arc. In this context, the Arc symbol is important. The symbols that are specifically used to denote an arc in Euclidean geometry are ‘⌢’ as well as ‘⌒’. If a circle is considered then an arc can be then a portion of the circumference denoted by BA or AB can be taken as the arc as the order of points does not matter. It can be stated as AB or BA with a curved line over it and it is read in the form ‘arc AB’. 

Now continuing the previous discussion the method of the angle of an arc involves the angles that the arc makes with the center of the circle. By using the formula of arc length, the angle of the arc can be properly measured. 

Length of arc = C (θ / 360°) which implies that θ = (Length of Arc / C).

Arc tracking

Arc Tracking can be defined as the method through which a material made of plastic is transformed to conductive from non – conductive through the method of degradation of service. In the following section some conditions have been provided, all of which are necessary to carry out arc tracking. 

• Contamination leads to an electrical circuit completion across the surface of the polymer. For instance a solution of saltwater on battery from road sprays.

• A surface of polymer involving terminals that have a huge difference of voltage among them. For instance, a battery case involving negative and positive terminals.

• Sufficient time as well as voltage.

Several researchers have suggested separate theories about how arc tracking happens. However, everyone has the same opinion that the polymer is liable to break down to a point such that it becomes conductive. These can allow a circuit to be complete within the two terminals. If this happens then there is a chance that the polymer’s resistance heating can occur in turn causing ignition. When Direct current or DC was done it provided information regarding the voltages needed to start arc tracking in a highly automotive environment. An experiment was carried out in this regard and the results revealed that Arc tracking is not likely to be a source of ignition in vehicles. It is not possible in a 24-volt system and 12-volt system but can serve as a source of ignition in 42 volt systems or even higher.

Conclusion

The article has been written on the main topic of arc. Arc is an important concept in mathematics and more specifically quantitative aptitude. Under this main topic, several sub-topics have been discussed. These involve arc meaning, the arc of a circle, and arc tracking. The concept of arc is mostly used for calculating arc length within a circle. However, it has several other uses such as arc tracking.