# Difference Between Degrees and Radians

The two most common units of measuring angles are degrees and radians. Both the units are interconvertible and have their own domain where they can be used.

/10

Education Quiz

1 / 10

What is the most widely spoken language in the world?

2 / 10

In which year was the first college in the United States founded?

3 / 10

The purpose of the evaluation is to make?

4 / 10

What is the study of the physical, social, and cultural phenomena of a particular country or region called?

5 / 10

What is the study of light and color called?

6 / 10

What is the basic unit of life?

7 / 10

Which is the first country to have a public education system?

8 / 10

Who wrote the novel "Great Expectations"?

9 / 10

Which of the following is NOT a type of writing?

10 / 10

Who is known as the father of modern physics?

The difference between degrees and radians is that degrees measure how much the head is tilted whereas radians measure the angle based on the distance travelled. Degrees are sometimes unreliable because they are based on the Sun’s rotation whereas Radians make use of the equations and therefore seem more reliable.

Want to save this article for later? Click the heart in the bottom right corner to save to your own articles box!

The measurement of plane angles whose full rotation is said to be 360o is known as degrees. It is considered to be the SI accepted unit due to its faults while measuring angles.

It is often defined as the ratio and is therefore considered dimensionless. It is represented by rad and mathematically is given by dividing the length of the arc by the length of the radius.

## What is Degree?

A degree is the most common unit used to express the measurement of angles and is based on the rotation of the Sun. It is generally used in daily life for reporting the angles and also at places where the calculation can have some round-ups.

Originally it was used because it was comparable to the number of days in the year and many scientists also at that point reported that the Sun moves a degree each day on the elliptical orbit.

Another theory for choosing the number 360 was that it had 24 divisors and was divisible by all numbers in 1-10 except 7 and the number of divisors helped in dividing the world into 24 time zones which developed the 24 hour time system and also helped in situating the time zones almost 150 to the longitudes.

The degree is a very small unit and can be used directly but it can also be used in the form of 45.999o or the DMS notation can be used in which it is said that 1 degree is equal to 60 arc minutes which further is 60 arcseconds.

Radian is a ratio and is said to be the angle subtended on the circle by the radius with the same length. In simpler terms, it is defined as a ratio between the displacement length of the arc and the radius.

titha =s/r

The unit is the SI unit and was accepted after 1995 as a derived unit because before that it was treated as a supplementary unit. It is said to be a pure number because of the fact that it is a ratio and it can never be imaginary.

Mathematically a radian is equal to one and therefore most of the time the representation that is radian is omitted and at all places where an angle is mentioned without any units it is assumed to be radians and if it is in degrees the symbol is mentioned.

It is the preferred way of measuring the angles because of its naturalness and the way it can cover a circle in only six parts if it is folded along an arc and this is true for every circle of different radii.

## Main Differences Between Degree and Radian

1. Degrees are less reliable in some terms because they measure on the basis of the rotation of the Sun. In comparison to this radian uses mathematical formulae and equations for the determination of the angles.
2. Degrees are generally used in daily life as well non-complex calculations as it is easy to represent and determine whereas radians are used in complex equations due to its precision.
One request?

I’ve put so much effort writing this blog post to provide value to you. It’ll be very helpful for me, if you consider sharing it on social media or with your friends/family. SHARING IS ♥️