Simplify and Write in Degrees

In math, degree means a position of a scale or amount of quality. It is mainly used measure the position of the angle. There are different types of angles like as acute angle, obtuse angle, right angle, straight angle, reflex angle and complete angle.

For example,

35^@ this is a way to write in degrees.
How to Learn Simplify and Write in Degrees:-

In the following example to explain the how to learn simplify and write in degrees:

Convert pi/18 into degrees.

We know the formula for convert radians into degrees.

Pi/(180^@)

= pi/18 xx (180^@)/pi (Multiplying the both values)
= (180^@)/18 (Cancel the pi value then divide the both numerator and denominator value)
= 10 degrees

Finally we get an answer as 10 degrees.


Example Problems for Simplify and Write in Degrees:-

Problem 1:-

Simplify pi/9 and write in degrees

Solution:

Given: pi/9

Convert pi/9 into degrees.

We know the formula for convert radians into degrees.

Pi/(180^@)

= pi/9 xx (180^@)/pi (Multiplying the both values)
= (180^@)/9 (Cancel the pi value then divide the both numerator and denominator value)
= 20^@ degrees

Finally we get an answer as 20^@ degrees.


Problem 2:-

Simplify pi/30 and write in degrees

Solution:

Given: pi/30

Convert pi/30 into degrees.

We know the formula for convert radians into degrees.

Pi/(180^@)

= pi/30 xx (180^@)/pi (Multiplying the both values)
= (180^@)/30 (Cancel the pi value then divide the both numerator and denominator value)
= 60^@ degrees

Finally we get an answer as 60^@ degrees.


Problem 3:-

Simplify pi/36 and write in degrees

Solution:

Given: pi/36

Convert pi/36 into degrees.

We know the formula for convert radians into degrees.

Pi/(180^@)

= pi/36 xx (180^@)/pi (Multiplying the both values)
= (180^@)/36 (Cancel the pi value then divide the both numerator and denominator value)
= 5^@ degrees

Finally we get an answer as 5^@ degrees.



Problem 4:-

Simplify pi/60 and write in degrees

Solution:

Given: pi/60

Convert pi/60 into degrees.

We know the formula for convert radians into degrees.

Pi/(180^@)

= pi/60 xx (180^@)/pi (Multiplying the both values)
= (180^@)/60 (Cancel the pi value then divide the both numerator and denominator value)
= 30^@ degrees

Finally we get an answer as 30^@ degrees.