# HOW TO CONVERT DEGREES TO RADIANS IN TERMS OF PI

To convert degree measure to radian measure, we have to use the formula given below.

Radians  =  (π/180) x (Degree Measure)

Let us look at some examples to understand how to convert degree measures to radian measures.

Example 1 :

Solution :

Formula to convert degree measure to radian measure is

=  (π/180) x degree measure

=  (π/180) x 25

Example 2 :

Solution :

Formula to convert degree measure to radian measure is

=  (π/180) x degree measure

=  (π/180) x 240

Example 3 :

Solution :

Formula to convert degree measure to radian measure is

=  (π/180) x degree measure

=  (π/180) x 520

Example 4 :

Convert 40° 20' to radian measure.

Solution :

To convert 40° 20' to radian measure, first we have to convert 20' to degree.

To convert 20' to degree, we have to divide it by 60.

20'  =  (20/60)°

20'  =  (1/3)°

Then,

40° 20'  =  (40 + 1/3)°

40° 20'  =  (121/3)°

Formula to convert degree measure to radian measure is

=  (π/180) x degree measure

=  (π/180) x (121/3)

Example 5 :

Convert -47° 30' into radian measure

Solution :

To convert -47° 30' to radian measure, first we have to convert 30' to degree.

To convert 30' to degree, we have to divide it by 60.

30'  =  (30/60)°

30'  =  (1/2)°

Then,

-47° 30'  =  -(47 + 1/2)°

-47° 30'  =  (95/2)°

Formula to convert degree measure to radian measure is

=  (π/180) x degree measure

=  (π/180) x (95/2)

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