About seconds
A degree is divided into 60 minutes, and each minute is further divided into 60 seconds. This means that there are 3,600 seconds in a degree. Seconds of degrees are typically used when a higher level of precision is required, such as in navigation or astronomy. For example, when determining the position of a celestial object, astronomers may need to measure the angle in seconds of degrees to accurately track its movement.
About Radians
Radians are a unit of measurement used in mathematics and physics to quantify angles. Unlike degrees, which divide a circle into 360 equal parts, radians divide a circle into 2π (approximately 6.28) equal parts. This unit is particularly useful in trigonometry and calculus, as it simplifies many mathematical calculations involving angles.
The concept of radians is based on the relationship between the length of an arc and the radius of a circle. One radian is defined as the angle subtended by an arc that is equal in length to the radius of the circle. In other words, if we were to take a circle with a radius of 1 unit and measure an arc along its circumference that is also 1 unit long, the angle formed at the center of the circle would be 1 radian.
Radians are advantageous because they allow for more straightforward calculations involving angles in trigonometric functions and calculus. Many mathematical formulas and equations involving angles become simpler when expressed in radians. Additionally, radians are dimensionless, meaning they do not have any units associated with them. This property makes it easier to perform calculations and conversions involving angles in various systems of measurement.